This document summarizes a study that analyzed topographic data from Coprates Chasma on Mars to test the hypothesis that variations in slope angle along the trough walls are consistent with differences in the past distribution of ground ice. The study measured slope angles, temperatures, and wall geometry from 247 topographic profiles across the trough. The results found no evidence that differences in ground ice distribution caused the variations in slope angle, implying ground ice has been absent from the walls since the terrain formed. This precludes theories that the terrain formed through dry mass wasting above an ice-rich layer or that ice played a role in landslides.
Characterizing Slope Stability of Colluvial Soils in Ohio using LiDAR dataMatthew Waugh
This document proposes a dissertation research project to investigate differences in slope stability between colluvial soils derived from shale bedrock versus claystone/mudstone bedrock in Ohio. The study will utilize LiDAR data and GIS techniques to characterize the soils and identify modes of slope failure at selected field sites. The hypothesis is that the type of underlying bedrock influences the character of the derived colluvial soil and the type of slope instability that occurs. The objectives are to investigate differences in soil character and failure modes between the two soil types and evaluate the usefulness of LiDAR for distinguishing their characteristics and corresponding slope failures. The methodology will include field and laboratory investigations of selected sites followed by data analysis to test the hypothesis.
1) A hydrogeophysical survey was conducted on an earthen dam to investigate factors contributing to its long-term successful operation without apparent seepage issues. 2) Geophysical methods including seismic refraction, self-potential, and electrical resistivity tomography were used to map the subsurface hydrostratigraphy and groundwater flow patterns. 3) The data indicated a preferential flow pathway beneath the dam, corresponding to a sandy-gravel layer that connects the reservoir to a downstream seepage zone. This layer may explain the dam's success by providing a controlled pathway for seepage.
This document provides lecture notes on soil mechanics from Einstein College of Engineering. It covers the objectives of the soil mechanics course, which is to provide knowledge of engineering properties of soil. The document then outlines the topics that will be covered, including introduction to soil properties, soil water and flow, stress distribution and compression, shear strength, and slope stability. It lists reference textbooks and provides an in-depth section on soil classification systems, properties, particle size distribution, consistency limits, and the Indian Standard Soil Classification System.
Exposed subsurface ice sheets in the Martian mid-latitudesSérgio Sacani
Thick deposits cover broad regions of the Martian mid-latitudes with a smooth mantle; erosion
in these regions creates scarps that expose the internal structure of the mantle.We
investigated eight of these locations and found that they expose deposits of water ice that
can be >100 meters thick, extending downward from depths as shallow as 1 to 2 meters below
the surface.The scarps are actively retreating because of sublimation of the exposed water
ice.The ice deposits likely originated as snowfall during Mars’ high-obliquity periods and have
now compacted into massive, fractured, and layered ice.We expect the vertical structure of
Martian ice-rich deposits to preserve a record of ice deposition and past climate.
The document discusses site investigation for civil engineering projects. It explains that site investigations are needed to understand ground conditions and enable safe and cost-effective project design, construction and operation. The objectives of site investigations are to assess suitability, enable design, plan construction, consider environmental impacts, and identify alternative sites. Site investigations involve desk studies, site reconnaissance, subsurface exploration including boreholes, and laboratory and in-situ testing to characterize soil and rock properties.
Rock-soil system and water regime in oak forest and maquis in IsraelNir Herr
Rock-soil system and water regime dynamics in the habitat as the main ecological factors of Quercus ithaburensis and Quercus calliprinus in Alonim-Menashe region (Israel) - abstract and images.
לצפייה באתר ולהורדת הקובץ ראה בקישור הבא:
Look in the site: http://nirforestecosoil.com/
This document provides an overview and outline for an introductory geotechnical engineering course. It includes:
- A description of topics covered such as soil formation, properties, classification, compaction, and permeability.
- Learning outcomes like understanding soil engineering properties, identification of soil engineering problems, and basic analytical procedures.
- Teaching methods including lectures, examples, student discussions, and textbook readings.
- An outline of course lessons covering soil formation, properties, compaction, classification, and laboratory tests.
- Assessment breakdown of lectures, labs, exams.
The document provides a question bank on soil mechanics for a civil engineering course. It contains questions organized under 5 units covering key topics in soil mechanics like introduction to soil, permeability, stress distribution, consolidation, and shear strength. The questions range from 2 marks to longer questions of 5 marks or more. Model question papers from previous years are also provided at the end for practice.
Characterizing Slope Stability of Colluvial Soils in Ohio using LiDAR dataMatthew Waugh
This document proposes a dissertation research project to investigate differences in slope stability between colluvial soils derived from shale bedrock versus claystone/mudstone bedrock in Ohio. The study will utilize LiDAR data and GIS techniques to characterize the soils and identify modes of slope failure at selected field sites. The hypothesis is that the type of underlying bedrock influences the character of the derived colluvial soil and the type of slope instability that occurs. The objectives are to investigate differences in soil character and failure modes between the two soil types and evaluate the usefulness of LiDAR for distinguishing their characteristics and corresponding slope failures. The methodology will include field and laboratory investigations of selected sites followed by data analysis to test the hypothesis.
1) A hydrogeophysical survey was conducted on an earthen dam to investigate factors contributing to its long-term successful operation without apparent seepage issues. 2) Geophysical methods including seismic refraction, self-potential, and electrical resistivity tomography were used to map the subsurface hydrostratigraphy and groundwater flow patterns. 3) The data indicated a preferential flow pathway beneath the dam, corresponding to a sandy-gravel layer that connects the reservoir to a downstream seepage zone. This layer may explain the dam's success by providing a controlled pathway for seepage.
This document provides lecture notes on soil mechanics from Einstein College of Engineering. It covers the objectives of the soil mechanics course, which is to provide knowledge of engineering properties of soil. The document then outlines the topics that will be covered, including introduction to soil properties, soil water and flow, stress distribution and compression, shear strength, and slope stability. It lists reference textbooks and provides an in-depth section on soil classification systems, properties, particle size distribution, consistency limits, and the Indian Standard Soil Classification System.
Exposed subsurface ice sheets in the Martian mid-latitudesSérgio Sacani
Thick deposits cover broad regions of the Martian mid-latitudes with a smooth mantle; erosion
in these regions creates scarps that expose the internal structure of the mantle.We
investigated eight of these locations and found that they expose deposits of water ice that
can be >100 meters thick, extending downward from depths as shallow as 1 to 2 meters below
the surface.The scarps are actively retreating because of sublimation of the exposed water
ice.The ice deposits likely originated as snowfall during Mars’ high-obliquity periods and have
now compacted into massive, fractured, and layered ice.We expect the vertical structure of
Martian ice-rich deposits to preserve a record of ice deposition and past climate.
The document discusses site investigation for civil engineering projects. It explains that site investigations are needed to understand ground conditions and enable safe and cost-effective project design, construction and operation. The objectives of site investigations are to assess suitability, enable design, plan construction, consider environmental impacts, and identify alternative sites. Site investigations involve desk studies, site reconnaissance, subsurface exploration including boreholes, and laboratory and in-situ testing to characterize soil and rock properties.
Rock-soil system and water regime in oak forest and maquis in IsraelNir Herr
Rock-soil system and water regime dynamics in the habitat as the main ecological factors of Quercus ithaburensis and Quercus calliprinus in Alonim-Menashe region (Israel) - abstract and images.
לצפייה באתר ולהורדת הקובץ ראה בקישור הבא:
Look in the site: http://nirforestecosoil.com/
This document provides an overview and outline for an introductory geotechnical engineering course. It includes:
- A description of topics covered such as soil formation, properties, classification, compaction, and permeability.
- Learning outcomes like understanding soil engineering properties, identification of soil engineering problems, and basic analytical procedures.
- Teaching methods including lectures, examples, student discussions, and textbook readings.
- An outline of course lessons covering soil formation, properties, compaction, classification, and laboratory tests.
- Assessment breakdown of lectures, labs, exams.
The document provides a question bank on soil mechanics for a civil engineering course. It contains questions organized under 5 units covering key topics in soil mechanics like introduction to soil, permeability, stress distribution, consolidation, and shear strength. The questions range from 2 marks to longer questions of 5 marks or more. Model question papers from previous years are also provided at the end for practice.
This chapter discusses analyzing soil boring data to assess liquefaction resistance and predict liquefied soil thickness using the EPOLIQAN code. The EPOLIQAN code calculates liquefaction parameters from a single soil boring that are then used to compute average and range values for case studies. Empirical methods are preferred for liquefaction assessments as they are based on in situ tests that directly correlate to field performance during earthquakes. The most widely used empirical method is based on Standard Penetration Test (SPT) blowcounts, though methods exist using Cone Penetration Tests and Becker Penetration Tests as well.
Constraints on Ceres’ internal structure and evolution from its shape and gra...Sérgio Sacani
Ceres is the largest body in the asteroid belt with a radius of
approximately 470 km. In part due to its large mass, Ceres more closely approaches
hydrostatic equilibrium than major asteroids. Pre-Dawn mission
shape observations of Ceres revealed a shape consistent with a hydrostatic
ellipsoid of revolution. The Dawn spacecraft Framing Camera has been imaging
Ceres since March 2015, which has led to high-resolution shape models
of the dwarf planet, while the gravity field has been globally determined to
a spherical harmonic degree 14 (equivalent to a spatial wavelength of 211 km)
and locally to 18 (a wavelength of 164 km). We use these shape and gravity
models to constrain Ceres’ internal structure. We find a negative correlation
and admittance between topography and gravity at degree 2 and order
2. Low admittances between spherical harmonic degrees 3 and 16 are well
explained by Airy isostatic compensation mechanism. Different models of isostasy
give crustal densities between 1200 and 1400 kg=m3 with our preferred model
This document provides an overview of a publication containing papers from the Symposium on Geophysical Methods for Geotechnical Investigations. The publication covers both surface and borehole geophysical techniques applied to environmental and geotechnical engineering problems. Surface methods provide horizontal maps or vertical profiles of subsurface properties, while borehole methods provide continuous vertical logs of properties along boreholes. Together, surface and borehole methods provide complementary data for characterizing geological formations and groundwater.
ASSESSMENT OF LIQUEFACTION POTENTIAL OF SOIL USING MULTI-LINEAR REGRESSION MO...IAEME Publication
The Standard Penetration Test (SPT) is the most widely used in-situ test throughout the world for subsurface geotechnical investigation and this procedure have evolved over a period of 100 years. Estimation of the liquefaction potential of soils is often based on SPT test. Liquefaction is one of the critical problems in the field of Geotechnical engineering. It is the phenomena when there is loss of shear strength in saturated and cohesion-less soils because of increased pore water pressures and hence reduced effective stresses due to dynamic loading. In the present study, SPT based data were analysed to find out a suitable numerical procedure for establishing a Multi-Linear Regression Model using IBM-Statistical Package for the Social Sciences (IBM SPSS Statistics v20.0.0) and MATLAB(R2010a) in analysis of soil liquefaction for a particular location at a site in Lucknow City. A Multi-Storeyed Residential Building Project site was considered for this study to collect 12 borehole data sets along 10 km stretch of IIM road, Lucknow, Uttar Pradesh (India).
This document provides information about a soil mechanics course including the course code, class details, textbooks, evaluation methods, instructor details, course objectives, syllabus, and exam schedule. The key points are:
1) The course covers soil properties, behavior, testing and applications in geotechnical engineering.
2) The instructor has a PhD from Northwestern University and experience in construction and consulting.
3) Evaluation includes quizzes, midterms, and a final exam. The syllabus covers topics like soil composition, permeability, stress distribution, consolidation, and shear strength.
This document presents a case study on estimating the modulus of subgrade reaction (k-value) for designing raft foundations of multi-story buildings constructed on sandy soil in Dammam, Saudi Arabia. Site investigations including boreholes and plate load tests were conducted. Plate load tests were back analyzed using numerical modeling to validate the soil properties. Different sized foundations were then modeled to estimate k-values. The k-values decreased with increasing foundation size and sometimes differed from values estimated using Terzaghi's equation, highlighting that k-value depends on foundation properties and soil conditions.
forms and distribution of potassium along a toposequence on basaltic soils of...IJEAB
The study was conducted in Vom, Jos Plateau state in the Southern Guinea Savanna zone of Nigeria to accentuate the forms of potassium distribution associated with topographic positions. The study area lies between longitudes 080 45’ 01” and 80 47’ 56’’ E, latitudes 90 43’ 17’’ and 90 45’ 15’’ N, with an elevation of about 1270m above sea level. A stratified purposive sampling procedure was adapted, where four landscape positions were identified using Global Positioning System (GPS). The crest, upper slope, middle, and lower slope positions were identified, each representing changes in geomorphology. Two pedons were georeferenced at each topographic position, where they were sunk and described. Result show that the forms of K varied with topographic positions. Potassium distribution varied from surface to subsurface in different topographic positions. Water soluble K was higher at crest surface (0.0569 cmolkg-1) and decreased with soil profile depth. Exchangeable K has highest value of 0.1317 and 0.1308 cmol/kg-1 at both lower slope positions in general. Non exchangeable K values where higher at all surfaces than the subsurfaces of topographic positions. HCl soluble K values were higher at lower and upper slopes surface, moderately at middle and least at crest slope positions. Total K values were higher at upper slope subsurface, middle, and lower slope surface with low variations at the crest positions. However, the distribution of the K forms did not shown a well – defined trend with respect to topographic positions.
Influence of Dense Granular Columns on the Performance of Level and Gently Sl...Mahir Badanagki, Ph.D.
Dense granular columns are often used as a liquefaction mitigation measure to (1) enhance drainage; (2) provide shear reinforcement; and (3) densify and increase lateral stresses in the surrounding soil during installation. However, the independent influence and contribution of these mitigation mechanisms on the excess pore pressures, accelerations (or shear stresses), and lateral and vertical deformations are not sufficiently understood to facilitate a reliable design. This paper presents the results of a series of dynamic centrifuge tests to fundamentally evaluate the influence of dense granular columns on the seismic performance of level and gently sloped sites, including a liquefiable layer of clean sand. Specific consideration was given to the relative importance of enhanced drainage and shear reinforcement. Granular columns with greater area replacement ratios (Ar), for example Ar greater than about 20%, were shown to be highly effective in reducing the seismic settlement and lateral deformations in gentle slopes, owing primarily to the expedited dissipation of excess pore water pressures. The influence of granular columns on accelerations (and therefore, the shear stress demand) in the surrounding soil depended on the column’s Ar and drainage capacity. Increasing Ar from 0 to 10% was shown to reduce the accelerations across a range of frequencies in the surrounding soil due to the shear reinforcement effect alone. However, enhanced drainage simultaneously increased the rate of excess pore pressure dissipation, helping the surrounding soil regain more quickly its shear strength and stiffness. At short drainage distances or higher Ar values (for example, 20%), this could notably amplify the acceleration and shear stress demand on soil, particularly at greater frequencies that influence PGA. The experimental insight presented in this paper aims to improve our understanding of the mechanics of liquefaction and lateral spreading mitigation with granular columns, and it may be used to validate the numerical models used in their design.
This document provides an introduction to soil mechanics and discusses key concepts such as:
- The composition and phases of soil including solids, water, and air.
- Classification of soils based on particle size and plasticity. Methods of mechanical analysis like sieve analysis and hydrometer analysis are described.
- Parameters for describing particle size distribution including effective size, uniformity coefficient, and coefficient of gradation.
- The Indian Standard system for classifying soils as coarse-grained, fine-grained, or organic. Factors like liquid limit and plasticity index are important for fine-grained soil classification.
This document summarizes a study analyzing the interaction between a jack-up rig's spudcans and an offshore pipeline during installation of the rig. Finite element modeling was used to evaluate soil deformation around the spudcan and at the pipeline. Both virgin soil profiles and modified profiles accounting for consolidation from a previous rig installation were considered. The results showed significant potential soil uplift near the pipeline. The modified soil profiles, with increased clay strength from consolidation, reduced predicted uplift. Overall, the study aimed to assess pipeline stability during the planned rig installation.
The document discusses the physical properties of rocks and soils that are important for civil engineering projects. It describes measuring properties like unit weight, density, porosity, strength, and permeability. It then discusses specific gravity determination and how porosity is measured. Various stress types on rocks, including compressive and tensile strength, are defined. Methods for determining rock properties like point load index and Schmidt hammer rebound number are presented. The document also covers rock mass classification systems and significance of faults and folds for engineering projects, as well as weathering and alteration of rocks.
This document discusses the importance of engineering geology in dam construction. There are three main types of dams - arc or buttress dams, gravity dams, and embankment dams - which experience different forces. Proper geological investigations are required to ensure the stability and safety of the dam foundation, the water-tightness of the reservoir, and slope stability. Preliminary geological investigations include topographical studies, reservoir location analysis, petrology studies, structural geology studies, and examining foundation conditions. Detailed investigations involve making a detailed geological map, studying rock types, structures, seismic data, and interpreting core drill samples to understand the engineering geological properties of the area.
This document provides an overview of soil mechanics as a discipline of civil engineering. It discusses the development of soil mechanics as a field systematized by Karl Von Terzaghi. The key topics covered include soil classification, compaction, soil-water relationships, stress distribution and settlement, shear strength, and slope stability. The overall objective is to impart knowledge on the physical and engineering behavior of soils, stress transfer in soils, and stability analysis of slopes. Various laboratory and field tests are also introduced to determine important engineering properties of soils.
This document summarizes a study of the hydraulic characteristics of sedimentary deposits at the site of Japan's largest proton accelerator (J-PARC) being constructed near Tokaimura, Japan. Samples from 9 exploratory wells were analyzed. Two main hydrogeological units were identified, though interbedded layers formed a multilayer aquifer system. Grain size analysis showed soils were poorly sorted. Hydraulic conductivity was measured and also estimated using empirical formulas, with some discrepancies explained by soil anisotropy and calculation method differences. Relationships between permeability, grain size, porosity and hydraulic conductivity were investigated, though properties varied randomly in places. Electrical conductivity logs suggested variations in soil properties related to changes in water quality. Results provide
Site investigation plays a crucial role in identifying adverse ground conditions that can jeopardize tunnel projects and cause delays or accidents during construction. Key aspects of site investigation include desk studies, walkover surveys, subsurface exploration techniques like drilling and cone penetration tests, and geophysical methods. Case studies of past tunneling accidents demonstrate how lack of knowledge about geological conditions from inadequate site investigation can lead to failures like collapses from groundwater ingress or unstable rock masses. A multistage site investigation employing various techniques can best acquire information to reduce risks from unexpected ground conditions during tunnel excavation.
A short course in foundation engineeringZaid Majed
This chapter introduces the concepts of effective stress and short-term and long-term stability in geotechnical engineering. Effective stress is defined as the total stress minus the pore water pressure. The principle of effective stress states that soils behave according to the effective stresses and are unaffected by changes in pore water pressure. Short-term stability considers immediate loading conditions while long-term stability accounts for time-dependent consolidation processes. Methods for computing effective stress and assessing short-term and long-term stability are discussed.
Detection of Low-Speed Layer (Lvl) In Seismic Refraction Survey Using Combine...iosrjce
A combination of two geophysical methods not only helps to enhance the accuracy of results but also
helps to detect the presence of a low velocity layer which cannot be detected by refraction shooting alone. The
Direct Current resistivity method was combined with the seismic refraction method to infer the lithology of
Nnodo (Latitude 6.300
- 6.320N and Longitude 8.100
- 8.120E), Nigeria, during which a low-velocity layer was
encountered. The major instruments used were the signal enhancement seismograph and the ABEM terrameter.
The seismic refraction method revealed three layers of the earth from its surface with velocities 300m/s,
1200m/s and 2100m/s which were interpreted as dry/loose sand, saturated sand and limestone respectively. The
resistivity method however, revealed five geoelectric layers with resistivity values 957 Ωm,363 Ωm,1033
Ωm,489 Ωm and 135 Ωm which were interpreted as dry soil, saturated sand, sandy clay, limestone and shale
respectively. A comparison of the two results showed that the third layer from the surface at Nnodo interpreted
as probably sandy clay( from the resistivity survey) was not detected in the seismic refraction survey. This was
suspected to be a low-velocity layer with a velocity of about 600m/s. Hence the layer of limestone according to
the seismic result is the fourth layer of the study area and not the third.The actual lithology of the third layer
which the seismic refraction method could not detect is sandy clay. This was evident from the resistivity result.
The lithologic sequence of the study area from the earth’s surface is therefore dry soil, saturated sand, sandy
clay, limestone and fractured shale(wet).
Sera Cue Labs provides a complete range of pathological services with a vision to be a leader in preventative healthcare using latest technology. Their mission is to be the most trusted brand for bringing world-class, cost-effective diagnostic care to individuals' doorsteps. They aim to expand through a franchise model to cover more tier 2 and 3 cities across India. The diagnostic market in India is large and growing but remains highly unorganized. Sera Cue Labs currently operates 14 labs across North India and plans further expansion through their franchise business model.
The document discusses recent positive developments in regional Queensland across several sectors:
1) Major land tenure and vegetation management reforms have empowered farmers and unlocked the potential of the agricultural sector, reducing red tape for landholders.
2) Local hospital boards filled with community members are delivering better health outcomes across Queensland, improving services and waiting times.
3) More regional women are now able to have their babies closer to home as birthing services reopen in communities like Beaudesert and Cooktown, meeting expectations for local maternity care.
This chapter discusses analyzing soil boring data to assess liquefaction resistance and predict liquefied soil thickness using the EPOLIQAN code. The EPOLIQAN code calculates liquefaction parameters from a single soil boring that are then used to compute average and range values for case studies. Empirical methods are preferred for liquefaction assessments as they are based on in situ tests that directly correlate to field performance during earthquakes. The most widely used empirical method is based on Standard Penetration Test (SPT) blowcounts, though methods exist using Cone Penetration Tests and Becker Penetration Tests as well.
Constraints on Ceres’ internal structure and evolution from its shape and gra...Sérgio Sacani
Ceres is the largest body in the asteroid belt with a radius of
approximately 470 km. In part due to its large mass, Ceres more closely approaches
hydrostatic equilibrium than major asteroids. Pre-Dawn mission
shape observations of Ceres revealed a shape consistent with a hydrostatic
ellipsoid of revolution. The Dawn spacecraft Framing Camera has been imaging
Ceres since March 2015, which has led to high-resolution shape models
of the dwarf planet, while the gravity field has been globally determined to
a spherical harmonic degree 14 (equivalent to a spatial wavelength of 211 km)
and locally to 18 (a wavelength of 164 km). We use these shape and gravity
models to constrain Ceres’ internal structure. We find a negative correlation
and admittance between topography and gravity at degree 2 and order
2. Low admittances between spherical harmonic degrees 3 and 16 are well
explained by Airy isostatic compensation mechanism. Different models of isostasy
give crustal densities between 1200 and 1400 kg=m3 with our preferred model
This document provides an overview of a publication containing papers from the Symposium on Geophysical Methods for Geotechnical Investigations. The publication covers both surface and borehole geophysical techniques applied to environmental and geotechnical engineering problems. Surface methods provide horizontal maps or vertical profiles of subsurface properties, while borehole methods provide continuous vertical logs of properties along boreholes. Together, surface and borehole methods provide complementary data for characterizing geological formations and groundwater.
ASSESSMENT OF LIQUEFACTION POTENTIAL OF SOIL USING MULTI-LINEAR REGRESSION MO...IAEME Publication
The Standard Penetration Test (SPT) is the most widely used in-situ test throughout the world for subsurface geotechnical investigation and this procedure have evolved over a period of 100 years. Estimation of the liquefaction potential of soils is often based on SPT test. Liquefaction is one of the critical problems in the field of Geotechnical engineering. It is the phenomena when there is loss of shear strength in saturated and cohesion-less soils because of increased pore water pressures and hence reduced effective stresses due to dynamic loading. In the present study, SPT based data were analysed to find out a suitable numerical procedure for establishing a Multi-Linear Regression Model using IBM-Statistical Package for the Social Sciences (IBM SPSS Statistics v20.0.0) and MATLAB(R2010a) in analysis of soil liquefaction for a particular location at a site in Lucknow City. A Multi-Storeyed Residential Building Project site was considered for this study to collect 12 borehole data sets along 10 km stretch of IIM road, Lucknow, Uttar Pradesh (India).
This document provides information about a soil mechanics course including the course code, class details, textbooks, evaluation methods, instructor details, course objectives, syllabus, and exam schedule. The key points are:
1) The course covers soil properties, behavior, testing and applications in geotechnical engineering.
2) The instructor has a PhD from Northwestern University and experience in construction and consulting.
3) Evaluation includes quizzes, midterms, and a final exam. The syllabus covers topics like soil composition, permeability, stress distribution, consolidation, and shear strength.
This document presents a case study on estimating the modulus of subgrade reaction (k-value) for designing raft foundations of multi-story buildings constructed on sandy soil in Dammam, Saudi Arabia. Site investigations including boreholes and plate load tests were conducted. Plate load tests were back analyzed using numerical modeling to validate the soil properties. Different sized foundations were then modeled to estimate k-values. The k-values decreased with increasing foundation size and sometimes differed from values estimated using Terzaghi's equation, highlighting that k-value depends on foundation properties and soil conditions.
forms and distribution of potassium along a toposequence on basaltic soils of...IJEAB
The study was conducted in Vom, Jos Plateau state in the Southern Guinea Savanna zone of Nigeria to accentuate the forms of potassium distribution associated with topographic positions. The study area lies between longitudes 080 45’ 01” and 80 47’ 56’’ E, latitudes 90 43’ 17’’ and 90 45’ 15’’ N, with an elevation of about 1270m above sea level. A stratified purposive sampling procedure was adapted, where four landscape positions were identified using Global Positioning System (GPS). The crest, upper slope, middle, and lower slope positions were identified, each representing changes in geomorphology. Two pedons were georeferenced at each topographic position, where they were sunk and described. Result show that the forms of K varied with topographic positions. Potassium distribution varied from surface to subsurface in different topographic positions. Water soluble K was higher at crest surface (0.0569 cmolkg-1) and decreased with soil profile depth. Exchangeable K has highest value of 0.1317 and 0.1308 cmol/kg-1 at both lower slope positions in general. Non exchangeable K values where higher at all surfaces than the subsurfaces of topographic positions. HCl soluble K values were higher at lower and upper slopes surface, moderately at middle and least at crest slope positions. Total K values were higher at upper slope subsurface, middle, and lower slope surface with low variations at the crest positions. However, the distribution of the K forms did not shown a well – defined trend with respect to topographic positions.
Influence of Dense Granular Columns on the Performance of Level and Gently Sl...Mahir Badanagki, Ph.D.
Dense granular columns are often used as a liquefaction mitigation measure to (1) enhance drainage; (2) provide shear reinforcement; and (3) densify and increase lateral stresses in the surrounding soil during installation. However, the independent influence and contribution of these mitigation mechanisms on the excess pore pressures, accelerations (or shear stresses), and lateral and vertical deformations are not sufficiently understood to facilitate a reliable design. This paper presents the results of a series of dynamic centrifuge tests to fundamentally evaluate the influence of dense granular columns on the seismic performance of level and gently sloped sites, including a liquefiable layer of clean sand. Specific consideration was given to the relative importance of enhanced drainage and shear reinforcement. Granular columns with greater area replacement ratios (Ar), for example Ar greater than about 20%, were shown to be highly effective in reducing the seismic settlement and lateral deformations in gentle slopes, owing primarily to the expedited dissipation of excess pore water pressures. The influence of granular columns on accelerations (and therefore, the shear stress demand) in the surrounding soil depended on the column’s Ar and drainage capacity. Increasing Ar from 0 to 10% was shown to reduce the accelerations across a range of frequencies in the surrounding soil due to the shear reinforcement effect alone. However, enhanced drainage simultaneously increased the rate of excess pore pressure dissipation, helping the surrounding soil regain more quickly its shear strength and stiffness. At short drainage distances or higher Ar values (for example, 20%), this could notably amplify the acceleration and shear stress demand on soil, particularly at greater frequencies that influence PGA. The experimental insight presented in this paper aims to improve our understanding of the mechanics of liquefaction and lateral spreading mitigation with granular columns, and it may be used to validate the numerical models used in their design.
This document provides an introduction to soil mechanics and discusses key concepts such as:
- The composition and phases of soil including solids, water, and air.
- Classification of soils based on particle size and plasticity. Methods of mechanical analysis like sieve analysis and hydrometer analysis are described.
- Parameters for describing particle size distribution including effective size, uniformity coefficient, and coefficient of gradation.
- The Indian Standard system for classifying soils as coarse-grained, fine-grained, or organic. Factors like liquid limit and plasticity index are important for fine-grained soil classification.
This document summarizes a study analyzing the interaction between a jack-up rig's spudcans and an offshore pipeline during installation of the rig. Finite element modeling was used to evaluate soil deformation around the spudcan and at the pipeline. Both virgin soil profiles and modified profiles accounting for consolidation from a previous rig installation were considered. The results showed significant potential soil uplift near the pipeline. The modified soil profiles, with increased clay strength from consolidation, reduced predicted uplift. Overall, the study aimed to assess pipeline stability during the planned rig installation.
The document discusses the physical properties of rocks and soils that are important for civil engineering projects. It describes measuring properties like unit weight, density, porosity, strength, and permeability. It then discusses specific gravity determination and how porosity is measured. Various stress types on rocks, including compressive and tensile strength, are defined. Methods for determining rock properties like point load index and Schmidt hammer rebound number are presented. The document also covers rock mass classification systems and significance of faults and folds for engineering projects, as well as weathering and alteration of rocks.
This document discusses the importance of engineering geology in dam construction. There are three main types of dams - arc or buttress dams, gravity dams, and embankment dams - which experience different forces. Proper geological investigations are required to ensure the stability and safety of the dam foundation, the water-tightness of the reservoir, and slope stability. Preliminary geological investigations include topographical studies, reservoir location analysis, petrology studies, structural geology studies, and examining foundation conditions. Detailed investigations involve making a detailed geological map, studying rock types, structures, seismic data, and interpreting core drill samples to understand the engineering geological properties of the area.
This document provides an overview of soil mechanics as a discipline of civil engineering. It discusses the development of soil mechanics as a field systematized by Karl Von Terzaghi. The key topics covered include soil classification, compaction, soil-water relationships, stress distribution and settlement, shear strength, and slope stability. The overall objective is to impart knowledge on the physical and engineering behavior of soils, stress transfer in soils, and stability analysis of slopes. Various laboratory and field tests are also introduced to determine important engineering properties of soils.
This document summarizes a study of the hydraulic characteristics of sedimentary deposits at the site of Japan's largest proton accelerator (J-PARC) being constructed near Tokaimura, Japan. Samples from 9 exploratory wells were analyzed. Two main hydrogeological units were identified, though interbedded layers formed a multilayer aquifer system. Grain size analysis showed soils were poorly sorted. Hydraulic conductivity was measured and also estimated using empirical formulas, with some discrepancies explained by soil anisotropy and calculation method differences. Relationships between permeability, grain size, porosity and hydraulic conductivity were investigated, though properties varied randomly in places. Electrical conductivity logs suggested variations in soil properties related to changes in water quality. Results provide
Site investigation plays a crucial role in identifying adverse ground conditions that can jeopardize tunnel projects and cause delays or accidents during construction. Key aspects of site investigation include desk studies, walkover surveys, subsurface exploration techniques like drilling and cone penetration tests, and geophysical methods. Case studies of past tunneling accidents demonstrate how lack of knowledge about geological conditions from inadequate site investigation can lead to failures like collapses from groundwater ingress or unstable rock masses. A multistage site investigation employing various techniques can best acquire information to reduce risks from unexpected ground conditions during tunnel excavation.
A short course in foundation engineeringZaid Majed
This chapter introduces the concepts of effective stress and short-term and long-term stability in geotechnical engineering. Effective stress is defined as the total stress minus the pore water pressure. The principle of effective stress states that soils behave according to the effective stresses and are unaffected by changes in pore water pressure. Short-term stability considers immediate loading conditions while long-term stability accounts for time-dependent consolidation processes. Methods for computing effective stress and assessing short-term and long-term stability are discussed.
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1. A topographic test for the existence of ground ice
in the walls of Coprates Chasma, Mars
Jørn Atle Jernsletten
Seabrook, Texas, USA
Received 29 March 2004; revised 5 August 2004; accepted 18 August 2004; published 15 December 2004.
[1] Evidence for the former presence of ground ice and its possible role in the erosion of
Valles Marineris trough walls is equivocal. This study aims to determine whether
variations in the topographic slope angle of the walls of the trough Coprates Chasma are
consistent with predicted temperature-driven differences in the distribution, thermal
condition, and strength of ground ice within its walls. Using Mars Orbiter Laser Altimeter
topographic data, 247 profiles were made rim to rim across the trough and measurements
made of wall slope angle, mean annual surface temperature, and trough geometry
(wall height, rim elevation, and trough width). Variations in these parameters along each
trough wall, and differences between the two trough walls, were established. The results
indicate that the predicted variations along and differences between the walls in the three-
dimensional distribution of ground ice, and in its thermal condition and strength, are
unlikely to have caused the measured variations in trough wall slope angle. These
observations imply that ground ice has been absent within the trough walls since the age of
formation of the spur-and-gully wall morphology. The results preclude the spur-and-gully
morphology having developed by dry mass-wasting of material above an ice-rich
cryosphere and indicate the action of liquid water to be a more likely origin. The inferred
absence of ice within the walls precludes any role of ice in initiating or mobilizing
landslides where they have eroded the spur-and-gully morphology. INDEX TERMS: 5470
Planetology: Solid Surface Planets: Surface materials and properties; 5460 Planetology: Solid Surface Planets:
Physical properties of materials; 5416 Planetology: Solid Surface Planets: Glaciation; 5415 Planetology: Solid
Surface Planets: Erosion and weathering; 5464 Planetology: Solid Surface Planets: Remote sensing;
KEYWORDS: Coprates Chasma, ground ice, Mars
Citation: Jernsletten, J. A. (2004), A topographic test for the existence of ground ice in the walls of Coprates Chasma, Mars,
J. Geophys. Res., 109, E12004, doi:10.1029/2004JE002272.
1. Introduction
[2] Valles Marineris is a system of large troughs in the
equatorial region of Mars that extends for over 4,000 km
from west to east, with individual troughs measuring up to
11 km deep, 250 km wide, and over 1,000 km long. Many
processes have been hypothesized to explain various aspects
of the formation and geometry of the troughs, including
tectonic, collapse, and erosional mechanisms [e.g., Sharp,
1973; Blasius et al., 1977; McCauley, 1978; Tanaka and
Golombek, 1988; Schultz, 1991]. One of the outstanding
questions concerning the evolution of Valles Marineris
troughs, and of equatorial features in general, concerns the
possible past or current presence of volatiles (particularly
water/ice) in the near-surface crust and their role in ero-
sional processes [Lucchitta, 1979, 1987; Rossbacher and
Judson, 1981; McEwen, 1989; Davis and Golombek, 1990;
Clifford, 1993; Peulvast et al., 2001].
[3] This study examines the possibility that topographic
patterns in the trough walls of Coprates Chasma, the deepest
and longest of the troughs, may reflect the differential
presence of ground ice within the walls. The premise of
the study is that surface heat variations caused by differ-
ences in aspect between the north and south walls of the
trough, and by variations in latitude along them, may have
generated topographic asymmetries between the walls. This
premise is based on the notion that, over geologically
significant periods of time, surface heat variations have
affected the strength of slope-forming material via the
temperature dependence of ice and of ice-related processes
in the wall material. Because Coprates Chasma is located in
the southern hemisphere of Mars, the south walls should be
warmer than the north walls given the theoretical differen-
tial in solar incidence.
[4] Although near-surface ground ice does not currently
exist in equatorial regions [Leighton and Murray, 1966;
Fanale, 1976; Farmer and Doms, 1979; Boynton et al.,
2002; Feldman et al., 2002], various geomorphic features
have been interpreted in terms of the former existence of
ground ice. Features with flow-like morphologies similar to
those of terrestrial rock glaciers have been observed in the
Valles Marineris region [Rossi et al., 2000]. Onset diameters
of rampart craters whose ejecta blankets may represent
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 109, E12004, doi:10.1029/2004JE002272, 2004
Copyright 2004 by the American Geophysical Union.
0148-0227/04/2004JE002272$09.00
E12004 1 of 14
2. material mobilized by melted ground ice during impact
[Costard, 1989; Kuzmin et al., 1988a, 1988b; Squyres et
al., 1992] are greatest near the equator and least at latitudes
of 50–60°. From such data, Kuzmin et al. [1988a, 1988b]
estimated the depths to ground ice as being $400 m at the
equator and $250 m at 30° latitude. However, Clifford
[2003] has argued that surface features are not necessarily
reliable indicators of either the past or present existence of
ground ice in equatorial (or other) regions, as geomorphic
interpretations are ambiguous and the ages of such features
are largely unknown.
[5] Many processes with confirmed, or suspected, roles in
Martian landscape evolution are known to be temperature-
dependent, with many of these related to the hypothesized
presence of ground ice. Suspected temperature-dependent
physical and weathering processes on Mars include frost
riving, oxidation, hydration, and carbonation [Gooding et
al., 1992]. Postulated temperature-dependent slope process-
es include the creep of rock/ice regolith, the growth and
creep of ice-filled rock joints, the formation and movement
of rock glaciers and debris flows, and the initiation and flow
behavior of landslides [Squyres, 1978; Carr, 1981; Squyres,
1989; Lucchitta et al., 1992; Whalley and Azizi, 2003].
Sublimation of ground ice, a temperature-dependent pro-
cess, has occurred in the equatorial regions in the past
[Clifford and Hillel, 1983], and may have influenced the
erodability of slope-forming host materials [Peulvast et al.,
2001].
[6] The ways in which these processes operate are, to a
large degree, understood through the quantified understand-
ing of Earth analogs. Laboratory experiments show that the
temperature dependence of the strength of ice yields a
steady state strain rate during steady state creep that
decreases by a factor of 20 for a 20 K (10%) drop in
temperature from 240 to 220 K [Durham et al., 1992].
When ice fills most of the pore space in frozen ground, the
mechanical properties and behavior of frozen ground cor-
respond closely to those of ice [Andersland and Ladanyi,
1994], with temperature influencing the mechanical prop-
erties in three ways. First, temperature is the main factor in
determining the fraction of water in the ground that is ice.
Second, the internal bonds in ice become stronger with
lower temperatures. And third, at lower temperatures, an
incremental increase in stress results in less thawing and a
slower rate of water migration, which are important factors
in stress redistribution [Williams and Smith, 1989]. These
factors combine to make frozen ground stronger at lower
temperatures [Tsytovich, 1960; Sayles, 1966; Bourbonnais
and Ladanyi, 1985a, 1985b].
[7] Given that variations in insolation (resulting from
aspect or latitude differences) received by different slopes
on Mars are expected to drive variations in temperature-
dependent processes, topographic expressions of such dif-
ferences should be related to aspect and latitude. The
working hypothesis in this study therefore is that tempera-
ture-dependent processes should cause detectable, system-
atic differences in topography (specifically, topographic
slope angle) between the north and south walls of Coprates
Chasma. The main aim is to determine whether spatial
variations in the topography of the trough walls can be
shown to be consistent with predicted differentials in the
distribution and thermal condition of ground ice within the
walls. If such differentials exist, then the following three
hypotheses tested in this study will be true: (1) The trough-
averaged slope angle of the north wall should be steeper
than that of the south, given the colder mean annual surface
temperature characteristic of the north wall; (2) the differ-
ence in slope angle between the north and south walls
should be greatest where expected temperature differentials
are greatest, and least where temperature differentials are
least (this effectively means that slope angle difference
should increase eastward along the trough due to the
gradient in latitude); and (3) any along-trough variation or
trend in slope angle should be greater along the north wall
than the south as the north wall has a more marked trend
in predicted mean annual surface temperature (as demon-
strated further below) and therefore a greater range of
predicted ground ice conditions.
2. Evolution and Stability of Valles Marineris
Trough Walls
2.1. Origin of Valles Marineris Troughs
[8] Mechanisms proposed to explain the origin of the
equatorial troughs have included processes involving ero-
sion [McCauley et al., 1972; Tanaka and MacKinnon,
2000], collapse [Tanaka and Golombek, 1988; Davis and
Golombek, 1990], and tectonism [Sharp, 1973; Blasius et
al., 1977; Schultz, 1991]. A tectonic-structural origin is
considered the most reasonable for the large, open troughs
(including Coprates Chasma), their formation being related
to grabens resulting from a tensional tectonic stress regime
associated with the Tharsis Rise. Evidence for such an
origin includes boundary faults along trough margins,
cliff-type walls, triangular faceted spurs [e.g., Blasius et
al., 1977], and down-dropped portions of plateau caprock
now residing on the floors of such troughs [e.g., Lucchitta et
al., 1992].
[9] Schultz [1998] proposed an inclusive, multiple-pro-
cess origin for the troughs, involving the sequential action
of separate processes. The first stage involved the intrusion
of dikes [Me`ge and Masson, 1996] radial to Syria Planum
during Lower Hesperian time. In a second stage, ancestral
basins (closed trough depressions) were formed by subsi-
dence during the Upper Hesperian, followed by the depo-
sition of interior layered deposits within the basins and the
formation of chaotic terrain and outflow channels. In the
third stage, tectonic grabens were imprinted over the basins
as a response to Tharsis-related extension, the configura-
tions of which were again controlled by the dikes [Schultz,
1998]. In this third stage, the extension/rifting that formed
the Ius Melas-Coprates and Candor-Ophir troughs occurred
probably during the Early Amazonian. The troughs have
subsequently been widened by erosion [Schultz, 1991;
Lucchitta et al., 1994].
[10] Coprates Chasma is the longest and deepest of the
troughs (Figure 1b). The trough is about 1000 km long, and
ranges in depth from 6 km in the eastern section to over
10.5 km in the west, with an average depth of 8 km. The
geology is dominated by Noachian wall rock and various
trough floor materials of Middle Hesperian age [Schultz,
1991] (Figure 1d). Interior layered deposits of Late Hespe-
rian through Middle Amazonian age [Lucchitta et al., 1992]
and landslide deposits are not found other than at the
E12004 JERNSLETTEN: GROUND ICE IN THE WALLS OF COPRATES CHASMA, MARS
2 of 14
E12004
3. western end of the trough, near its confluence with Melas
Chasma.
2.2. Geology, Morphology, and Strength of
Trough Walls
[11] The walls of the Valles Marineris troughs consist of
wallrock topped by a cap rock [e.g., Lucchitta et al. 1992,
1994]. MOC images indicate that the vast majority of the
wall rock consists of layers 5–50 m thick, and extending at
least 5 km below the surface of the surrounding plateau
[McEwen and Malin, 1998]. The layers show similarities to
terrestrial flood basalts in outcrop morphology and may be
primarily volcanic in origin, or a mixture of lavas, intrusive
magma, and possibly sedimentary rocks [McEwen and
Malin, 1998; Malin and Edgett, 2000; Williams and Paige,
2002]. The layers are understood to be of Upper Noachian
or Lower Hesperian age (3.1–4.2 b.y.).
[12] Mars Orbiter Laser Altimeter (MOLA) data show
that the steepest sections of wallrock achieve slope angles
of 30–35°, although some wall slopes achieve gradients of
only 12–15° [Phillips et al., 1998; Schultz, 2002]. Slope
angles decline with decreasing elevation from the local
plateau surface [Phillips et al., 1998]. The heights of wall
slopes are immense: slope heights measured by Schultz
[2002] range from 1 to 8 km, and Peulvast et al. [2001]
report slopes of up to 11 km in height, similar to the
maximum trough depth as ascertained by Lucchitta et al.
[1994].
[13] Under a tectonic-structural origin, the trough walls
represent the eroded remains of rift flanks or the footwalls
of inward-dipping normal boundary faults [Schultz, 1991].
In Coprates Chasma, the faults defining the northern
boundary of the trough are more continuous and recently
active compared with those defining the southern boundary
[Schultz, 1991; Peulvast et al., 2001] (Figure 1c). The walls
themselves can be divided into two morphological types:
those sections that exhibit spur-and-gully morphology, com-
mon in straight sections of troughs including along Coprates
Chasma; and those sections that are characterized by land-
slide scars, which are especially frequent in Ius, Ophir, and
Figure 1. Topography, geology, structure, and physiography of Coprates Chasma. (a) Physiography
[from Peulvast et al., 2001]: (1) smooth talus slopes; (2) spurs and gullies slopes; (3) landslide deposits
with hummocky material; (4) landslide deposits with hummocky and fan-shaped materials; (5) rotational
slumps; (6) aeolian flutes; (7) chaotic terrain; (8) slope gradient; (9) crests. (c) Structure [from Peulvast et
al., 2001]: (1) cornice with smooth talus slope; (2) cornice with spurs and gullies; (3a) crest with spurs
and gullies on both sides; (3b) crest with spurs and gullies on one side and smooth talus slope on the other
side. Structure key: (4a) fault; (4b) conjectured fault; (5a) normal fault; (5b) conjectured normal fault.
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4. Hebes Chasmata [Lucchitta, 1978; Lucchitta et al., 1992].
Only three large landslides occur in Coprates Chasma, on the
north wall at the west end of the trough [Lucchitta, 1979;
Schultz, 1991]. Peulvast et al. [2001] further differentiated
these slope types as shown in Figure 1a.
[14] Aspects of the strength and stability of trough wall
slopes have been examined by Schultz [2002], who assessed
the stability of rock slopes in various parts of the chasmata
by applying a rock mass strength rating system in conjunc-
tion with topographic measurements from MOLA data.
Wall rock was shown to be stronger than interior deposits,
as indicated by rock mass rating (RMR) values of 50–65
and 30–55 respectively. The values of rock strength are
consistent with wall rock slopes being underlain by igneous
rock, perhaps jointed basalt [Schultz, 2002].
2.3. Trough Wall Erosional Processes and the
Possible Role of Volatiles
[15] There has been a substantial amount of backwasting
of the trough walls since their initial tectonic-structural
formation [Schultz, 1991; Lucchitta et al., 1994]. Lucchitta
et al. [1994] calculated an average erosional widening of the
troughs of one-third their original widths on the basis of
volumetric calculations of trough topography. Schultz
[1991] measured a difference between the structural width
of the Coprates trough near its western limit (12.3 S, 68 W)
of $60 km and the erosional width in that vicinity of $100
km. The variable widths of the structural troughs, both
between different troughs and within individual troughs,
suggest that differential erosional widening has taken place.
Peulvast et al. [2001] proposed that spatial differences in
the volatile content of rock (inferred from data on rampart
craters in the surrounding plateaus) may have produced
these variations. Other evidence for the role of volatiles in
the erosion of the trough walls includes landslides whose
morphologies have been interpreted in terms of fluid flow
[e.g., Lucchitta, 1979, 1987]; channels and tributary can-
yons suspected to be formed by sapping [Kochel and Piper,
1986; Davis and Golombek, 1990]; and possible rock
glacier features [Rossi et al., 2000; Whalley and Azizi,
2003].
[16] Landslides have formed scars of up to 5 km in height
in the trough walls [Lucchitta, 1979; McEwen, 1989].
Lucchitta [1979, 1987] concluded on morphologic evidence
(e.g., multiple lobes, long runout distances) that the land-
slides were huge, wet debris flows. Modeling of longitudi-
nal profiles for landslides in Ophir Chasma [Harrison and
Grimm, 2003] suggests that positive pore water pressures
are required to explain the morphology. Deficits between
the deposited volumes of landslide material and the calcu-
lated volumes of the contributing scars also point to the
possible presence of water in the landslides [Quantin et al.,
2003]. Water to fluidize the landslides could have been from
groundwater, or as ice that was melted during or immedi-
ately prior to their occurrence. As an alternative, dry
landsliding processes have been suggested by McEwen
[1989] and Phillips et al. [1998]. McEwen’s [1989] results
concerning landslide morphometry compared closely to
data for terrestrial dry-rock avalanches. The Mohr-Coulomb
failure criterion analysis of a hypothetical, unfailed trough
wall slope by Phillips et al. [1998] suggested that ground-
water probably did not exist in the upper crust because the
trough walls would have exhibited more landsliding than is
observed.
[17] Schultz [2002] deduced that the landslides in the
wallrock were most likely initiated by seisms, because
although the wallrock was calculated to be stronger than
the interior deposits, only wallrock exhibited landsliding
due to the proximity of the walls to trough-bounding faults.
Crater data recently reported by Quantin et al. [2003]
indicate that the landslides have multiple ages, ranging
from 1–2 Gyr ago to 100 million years ago. The landslide
ages are clustered, which suggests a relationship to distinct,
reproducible events such as crater impacts or Marsquakes.
[18] Many parts of the Valles Marineris trough walls not
affected by landsliding are characterized by spur-and-gully
morphology, including most wall sections of Coprates
Chasma (Figure 1a). These walls have spurs and gullies
with widths of 15–30 km and slopes of up to 30° [Peulvast
et al., 2001]. Some of the spurs are cut by faults, leaving
series of triangulated spur facets in some troughs including
along the north wall of Coprates. The age and erosional
origin of the spur-and-gully morphology remain uncertain.
Gullying is indicative of erosion most probably either by
water or by interstitial ice [Lucchitta, 1978]. Lucchitta et al.
[1992] likened the morphology of the spur-and-gully walls
to that found on scarps in alpine or desert environments on
Earth. Alternatively, it is also suggestive of the morphology
of the walls of submarine canyons. Therefore the spur-and-
gully morphology either relates to a former different climate
or is the result of a subaqueous erosional environment
[Lucchitta, 1999]. The morphology would appear to predate
the landslides, as the spurs and gullies are obliterated by
them where they occur [Lucchitta et al., 1992; Peulvast et
al., 2001], and there is no evidence for their existence on
surfaces such as fault scarps and landslide scars.
3. Method
[19] The hypotheses presented in section 1 are tested by
(1) measuring the slope angle of Coprates Chasma trough
walls as a topographic parameter that should reflect varia-
tions in predicted ground ice distribution; (2) establishing
the pattern of calculated surface temperature variation along
the north and south walls and the differences between them;
(3) given the surface temperature pattern, defining the
expected distribution of ground ice in the two walls;
(4) defining the theoretical effects of temperature and ice
on wall strength and slope angle; (5) controlling or other-
wise accounting for other potential influences on slope
angle variation; and (6) testing the relations between slope
angle, surface temperature, and the predicted ground ice
distribution.
[20] The data set used for this study was the 1/64 degree
gridded MOLA elevation data set. The MOLA elevation
data have a ±30 cm vertical accuracy, $150 m spot size,
and $330 m along-orbital-track spacing. For the purposes
of this study, a segment of the data extending 40° West to
85° West by 5° North to 20° South was imported into a GIS
environment.
[21] Slope angle was used as a topographic measure that
was expected to reflect variations in wall material strength
and temperature-related processes. Slope angle has been
used by previous authors in studies of geomorphic form and
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5. process for features on Earth and Mars [e.g., Evans, 1980;
Selby, 1980; Davis and Golombek, 1990; Schultz, 2002]. In
addition, measurements were also made of trough geometry
parameters that included the plateau (trough rim) elevation,
trough rim-to-rim width, and trough wall height, all of
which were regarded as gross geometric parameters likely
to influence variations in slope angle along the north and
south walls and differences in slope angle between them.
For each wall, correlations were made between slope angle,
mean annual surface temperature, location parameters (lat-
itude and longitude), and trough geometry parameters.
Ordinary least squares regression was performed to indicate
average values of parameters and their trends along the
trough, and to establish relations among the various param-
eters. Comparisons were made for differences in slope angle
between the north and south walls using paired-samples
t-tests. Differences between the walls in slope angle were
correlated with differences in mean annual surface temper-
ature, location, and trough geometry parameters.
4. Profiles Across Coprates Chasma
[22] The purpose of the profiling analysis was to measure
various topographic parameters along each wall of the
trough. A total of 247 profiles spaced 4 km apart were
drawn normal to the trend of the $1,000-km-long trough,
with data points along each profile spaced 926 m apart. The
first profile (coprates001) was located at the western-most
end of the trough, and the last profile (coprates247) was
located at the eastern-most end. The position of the rim on
each side of the trough for each profile was defined as the
first point that had a slope angle steeper than 5.0° and which
was followed by 15 points with an average slope angle
steeper than 8.75° (including and starting with the initially
selected point) (Figure 2). The position of the trough bottom
on each side of the trough for each profile was defined as
the bottom-most point of the first 5 points averaging <3.7°
found downslope from the rim.
[23] Measurement of wall slope angle was confined to
those parts of the profiles comprising the upper 50% of the
walls (as measured from trough rim to floor), to discount
the possibility of depositional features being included in
the analysis (Figure 2). Slope angles along a profile were
calculated by using steepest gradient slope angles, with the
overall slope angle for a wall at a profile being calculated as
the average of the slope angles determined for the relevant
points. The steepest gradient slope angles, steepest gradient
slope aspects (cosine thereof), and latitudes were used to
calculate incidence angles and temperatures for each wall at
the location of each profile.
5. Theoretical Predictions
5.1. Calculation of Mean Annual Surface Temperature
[24] Temporal variations in temperature on Mars are gen-
erally calculated using the surface energy balance equation:
S0
R2
1 À Abð Þ cos i þ k
@T
@z
þ Fa þ L
dm
dt
¼ esT4
; ð1Þ
where S0 is the solar constant at 1 AU; R is the mean
distance of Mars from the sun; Ab is the bolometric albedo; i
is the local incidence angle of sunlight; k is the thermal
conductivity of the regolith; Fa is the downward component
of atmospheric radiation; L is the latent heat of CO2
sublimation; m is the mass of CO2 condensate per unit area;
e is the surface emissivity; and s is the Stephan-Boltzmann
constant [Kieffer et al., 1977; Clifford, 1993].
[25] Given the average annual surface temperatures at
latitudes equatorward of $40°, the CO2 latent heat part of
the equation can be ignored for these latitudes. Assuming an
Figure 2. Data points, and points used to measure slope angle for the upper 50% of the walls, for
Coprates profile number 200. Profile aspect is 187.2° (north wall)/7.2° (south wall); vertical exaggeration
is 6Â.
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6. albedo of Ab = 0.25, a thermal conductivity of k = 2.0 W
mÀ1
KÀ1
, and a depth of z = 0, equation (1) can be greatly
simplified to provide an equation (equation (2)) for estimat-
ing the mean annual surface temperature. Equation (2) is
essentially an interpolation of the minimum (154 K) and
maximum (218 K) mean annual surface temperatures cal-
culated for Mars by Clifford [1993]. Although equation (2)
is not a true closed-form solution of equation (1), it provides
a satisfactory means by which temperature can be calculated
for the purposes of this study.
Tms ¼ 64 K cos i þ 154 K: ð2Þ
[26] The local incidence angle, i, depends on latitude,
slope angle, and the orientation of the surface (its slope
aspect), and is the angle between the incident sunlight and
the normal to the planet’s surface at that particular latitude.
The local incidence angle for a given point on the surface is
the absolute value of its latitude, l, minus the north-south
component of its slope, b, or
i ¼ abs l À bð Þ; ð3Þ
and where
b ¼ s cos a; ð4Þ
where s is the steepest gradient slope, and a is the aspect
(bearing, orientation) of that steepest gradient slope.
Steepest gradient slope is the magnitude of the gradient
and slope aspect is the azimuth of the gradient.
5.2. Calculated Temperature and Potential Ice
Distribution Differentials
5.2.1. Theoretical Temperature Differences Between
the North and South Walls of Coprates Chasma
[27] As an illustration of the magnitude and direction of
temperature variations along the walls, and of differences
between them, equation (2) was used to calculate Tms, and
subsequently to gauge hypothetical ice distribution patterns,
for both walls at each of three locations along Coprates
Chasma (positioned near the western end of the trough, in
its central region, and near the eastern end, respectively)
(Table 1). The trough is geographically aligned such that its
eastern end lies 4° further south than its western end. The
opposing aspects of the south and north walls lead to marked
differences in incidence between the two walls, and there are
also differences in incidence resulting from slope angle. For
a slope angle of 30° (15°), Tms for the south wall increases
from west to east by 1.1 K (0.1 K), but the temperature of the
north wall decreases by 3 K (2 K) along the same direction
(Table 1). The effect of aspect is seen by the differentials for
each location, with the Tms of the south wall being warmer
than the north by 11.7 K (5.8 K), 13.8 K (6.9 K), and 15.8 K
(7.9 K) at the western, central, and eastern sections of the
trough respectively. As an illustration of the variation in
mean annual surface temperature across the trough, temper-
ature variation was calculated using actual data from
profile 200 using equation (5), as shown in Figure 3.
5.2.2. Depth to the Base of the Cryosphere in
Coprates Chasma
[28] The depth to the base of the cryosphere (z) can be
estimated using the steady state one-dimensional heat con-
duction equation:
z ¼ K
Tmp À Tms
Qg
; ð5Þ
where K is the thermal conductivity of the Martian crust,
Tmp is the melting point of ground ice, Tms is the mean
annual surface temperature, and Qg is the value of the
geothermal heat flux. The values used here are those
reviewed and used by Clifford [1993] of Qg = 30 mW mÀ2
,
K = 2.0 W mÀ1
KÀ1
, and Tmp = 252 K.
[29] Substituting the temperature data of Table 1 (for a
wall slope angle of 25°) into equation (5) shows that for the
eastern end of the trough the calculated depth to the base of
the cryosphere underneath the south wall is $2.3 km and
under the north wall is $3.2 km; the comparable values for
the western end of the trough are $2.4 and $3.0 km
respectively. All other factors being equal, there is therefore
a substantial predicted difference in the depth to the cryo-
sphere between the south and north walls of Coprates
Chasma, with the difference being greater at the eastern
end of the trough. McGovern et al. [2002] revised Qg
downward to around 20 mW mÀ2
; use of such a value in
Table 1. Calculated Values of Incidence and Mean Annual Surface Temperature for Three Pairs of Locations Along Coprates Chasmaa
North/South
Wall Latitude, °S
North/South
Wall Longitude, °W
Slope
Angle, °
North Wall
Incidence, °
South Wall
Incidence, °
North Wall Mean
Annual Surface
Temperature, K
South Wall Mean
Annual Surface
Temperature, K
Difference
(North-South), K
10.25/12.00 70 (western end) 15 24.80 2.55 212.1 217.9 À5.8
20 29.66 7.41 209.6 217.5 À7.8
25 34.51 12.26 206.7 216.5 À9.8
30 39.36 17.11 203.5 215.2 À11.7
12.25/14.00 62 (central) 15 26.80 0.55 211.1 218.0 À6.9
20 31.66 5.41 208.5 217.7 À9.2
25 36.51 10.26 205.4 217.0 À11.5
30 41.36 15.11 202.0 215.8 À13.8
14.25/16.00 54 (eastern end) 15 28.80 1.45 210.1 218.0 À7.9
20 33.66 3.41 207.3 217.9 À10.6
25 38.51 8.26 204.1 217.3 À13.3
30 43.36 13.11 200.5 216.3 À15.8
a
The first row of data is for a location near the western end of the trough; the second row is for a location in the central part of the trough; and the third
row is for a location near the eastern end of the trough. Calculated with (assumed) north wall slope aspects of 194° and south wall slope aspects of 14°.
Incidence angle is the angle away from vertical. Mean annual surface temperatures were calculated using equation (2); local incidence angles of sunlight
were calculated using equation (3).
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7. these calculations would increase the estimated depths to the
base of the cryosphere, and the N-S differentials, by 50%.
[30] As an illustration of the variation in the depth to the
base of the cryosphere across the trough, the depth variation
(Figure 4) was calculated using actual data from profile 200
using equation (5) and the variation in surface temperature
and slope angle as displayed in Figure 3. With nominal
parameters (Qg = 30 mW mÀ2
, K = 2.0 W mÀ1
KÀ1
, and
Tmp = 252 K [Clifford, 1993]), this calculation yields a
depth to the base of the cryosphere of $2.3 km under the
south wall of the trough and $3.6 km under the north wall
in the vicinity of profile 200.
5.2.3. Depth to the Ice Table in Coprates Chasma
[31] The ice table represents the depth below which
ground ice theoretically exists in the cryosphere, with the
depth being a function of mean surface temperature and the
thermal conductivity of the crust. Thermal models indicate
the equatorial region has been desiccated to leave the ice
Figure 3. Calculated temperature variation along Coprates profile number 200. Vertical exaggeration of
elevation profile is 5Â.
Figure 4. Coprates Chasma profile number 200 with hypothetical cryosphere. Depth to cryosphere
calculated using equation (5); nominal values cited for Mars are Qg = 30 mW mÀ2
, K = 2.0 W mÀ1
KÀ1
,
and Tmp = 252 K [Clifford, 1993]; Tms was calculated using equation (2); vertical exaggeration is 6Â.
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8. table a postulated $100–300 m below the surface [Clifford
and Hillel, 1983; Fanale et al., 1986; Mellon et al., 1997].
Whether or not the ice table is regarded as being in a steady
state condition, it is likely to be shallower underneath the
north wall of Coprates Chasma, given that the ice table
depth is dependent upon mean annual surface temperature,
and given the calculated differential in surface temperature
between the north and south walls.
[32] Mellon et al. [1997] considered the possibility of a
steady state ice table in the equatorial regions, and for a
thermal conductivity of 1.0 W mÀ1
KÀ1
(representing
‘‘dense rock’’) the ice table is calculated to have a depth
of $300 m for a Tms of 217 K (equating to the south wall),
and a depth of $200 m for a Tms of 200 K (equating to the
north wall). The corresponding temperatures at the ice table
for the relevant surface temperature conditions are 225 K
and 205 K for the south and north walls respectively (data
from Mellon et al. [1997]).
5.3. Consequences of Temperature Differences for
Ground Ice Distribution and for Spatial Variation in the
Strength and Morphology of Coprates Chasma Walls
[33] As demonstrated, insolation differences between the
south and north walls of Coprates Chasma are predicted to
generate differences in Tms between the two walls. The
differences in Tms are in turn expected to cause differences
in subsurface temperatures (for equal depths) in the material
comprising the trough walls, and also to influence the
depths to the ice table and to the base of the cryosphere
within the trough walls. Given that the existence of near-
surface liquid water is precluded by current (and past)
atmospheric temperature and pressure conditions [e.g.,
Fanale, 1976], the trough wall constituent materials within
the part of the cryosphere below the ice table will either
contain ground ice or be dry. Whether or not the cryosphere
contains ground ice will determine the strength and suscep-
tibility to erosion of the trough walls, and therefore the
morphology of the walls. Thus hypothesized patterns of
wall morphology are able to be established on the basis of
the predicted distribution of ground ice, as outlined below.
5.4. Development of Hypotheses
[34] If ground ice were present within the constituent
materials of the trough walls, it would affect the strength
(erodability) of the walls. Any ice-laden material compris-
ing the north wall would be colder than in the south wall
and would therefore be more stable in terms of ice-related
deformation than would the south wall. In approximate
terms, given this temperature differential, the strain rate of
ice would be 20 times lower in the northern wall and would
constitute a strength difference between the walls. Because
of the differential between the walls in the depth to the
cryosphere (calculated to be 600–1400 m deeper below the
north wall, dependent on location along the trough), there
would also be a greater thickness of ice-rich material
underlying the north wall, and which for equivalent depths
would be colder than the south wall.
[35] The mechanical effect of sublimation of interstitial
volatiles is to reduce the strength of the material by
removing the component of total material strength provided
by ice, so that the desiccated material is weaker and more
easily eroded than the ice-saturated material [e.g., Moore et
al., 1996; Peulvast et al., 2001]. In Coprates Chasma, if the
hypothesized asymmetries in ground ice distribution are
correct, colder slopes should exhibit steeper slope angles
than warmer slopes, because the rate of sublimation and
therefore weakening of desiccated material is slower, the
depth to the ice table is shallower, and the ice-laden material
at and below the ice table is colder and stronger. Given that
the ice table in the north wall is hypothesized to have colder,
stronger ice than the south wall, the slope would maintain a
steeper topographic slope angle during erosion.
[36] Asymmetries in surface temperature and ice distri-
bution between the north and south walls of the trough
would therefore produce predictable differences in slope
material strength and slope angle. Specifically, if ground ice
were differentially distributed according to the spatial pat-
tern of mean annual surface temperature as described, the
following hypotheses would be found to be true:
[37] H1. The trough-averaged slope angle of the north
wall should be steeper than that of the south wall.
[38] H2. The difference in slope angle between the north
and south walls should be greatest where temperature
differentials are greatest and least where temperature differ-
entials are least. Essentially, this means that slope angle
difference should increase eastward along the trough.
[39] H3. Any along-trough trend in slope angle should be
greater along the north wall than the south as the north wall
has a more marked trend in predicted mean annual surface
temperature and consequently a greater range of ground ice
conditions.
[40] If ground ice were absent from the constituent mate-
rials of the trough walls, that is, the materials were dry, the
effect of insolation and temperature asymmetries would be
different from the ice-present scenario. Because of the
absence of an asymmetric distribution of ice and a differen-
tial in its thermal condition, there would be no resultant
strength differential (attributable to ground ice) between the
material comprising the north and south walls respectively.
Therefore, if no ground ice were contained within the walls,
hypotheses H1–H3 presented above would be rejected.
6. Empirical Results
6.1. Slope Angle Variations and Differences
[41] The slope angle of the walls as determined from the
profiles ranges from 14 to 29°. The average slope angle of
the north wall is 22.4 ± 0.3° and of the south wall is 21.1 ±
0.4° (Table 2). The slope angle of both the north and south
walls increases, on average, from west to east along the
trough (Figure 5). However, there is some scatter in the data
(standard deviations: north wall 2.4°; south wall 2.9°). The
average difference in slope angle between the two walls is
1.3° ± 0.5°, with the north wall being steeper than the south.
The difference in slope angle between the walls is, on
average, the same at all locations along the trough, as
shown in both Figure 5 and Figure 6. A greater number
of wall slope sections are steeper on the north wall of the
trough (157) than on the south (90).
6.2. Mean Annual Surface Temperature Variations
and Differences
[42] Calculated values of Tms for the south wall are
higher than those for the north wall, with a difference of
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9. $7.5 K at the western end of the trough and $11.5 K at
the eastern end (Figure 7). Calculated Tms along the north
wall decreases significantly along the trough from west to
east, although the data show considerable scatter. In
contrast, there is little variation and negligible trend in
mean surface temperature along the trough for the south
wall. The calculated temperature difference widens along
the trough, due to the decline in temperatures along the
north wall from 210 K to 206 K. The average calculated
Tms for the north wall is 207.7 K and for the south is
217.4 K (Table 2), with the average difference in temper-
ature being 9.7 K.
6.3. Relationships Between Slope Angle and Slope
Angle Difference and Other Variables
6.3.1. Slope Angle
[43] For the north wall, slope angle has small but signif-
icant correlations with longitude and latitude (Figure 5 and
Table 3). The slope angle of the south wall has a significant
negative correlation with trough rim-to-rim width and with
trough bottom elevation, but is not significantly correlated
with either latitude or longitude.
6.3.2. Slope Angle Difference
[44] The north-south wall difference in slope angle has no
significant correlation with wall height or with the differ-
ence in either wall height or rim elevation (Table 4).
However, it has a significant positive correlation with
trough width, which is due mainly to the decrease in slope
angle of the south wall with respect to trough width.
6.4. Hypothesis Testing and Interpretation
6.4.1. Hypothesis Testing
[45] On the basis of the empirical results presented, the
outcomes of testing the hypotheses are as follows:
[46] H1 is accepted. The trough-averaged slope angle of
the north wall is 1.3° ± 0.5° steeper than that of the south wall.
[47] H2 is rejected. The average difference in slope angle
between the north and south walls is constant along the
trough, despite a difference in average Tms of $7.5 K at the
western end of the trough and $11.5 K at the eastern end.
[48] H3 is rejected. The along-trough trend in slope angle
is the same (a 1.5° increase from west to east) for both
walls, despite Tms for the north wall decreasing by 4 K and
Tms for the south wall being essentially constant.
6.4.2. Interpretation: Influence of Surface
Temperature on Slope Angle
[49] Although the north wall is on average 1.3° steeper,
and on average 9.7 K colder, than the south wall of the
trough (Table 2), the difference in slope angle between the
walls does not systematically increase from west to east
along the trough as predicted; the slope angle differential is
therefore unlikely to be related in a simple manner to
differentials in Tms. In addition, the average slope angle at
the eastern end of the south wall is the same as the average
slope angle at the western end of the north wall, despite a
calculated Tms difference of 7–8 K. Furthermore, the
increase in average slope along the trough for the south
Table 2. Coprates Chasma North and South Wall Data
Mean (±95% CI)
North Minus South
Difference (±95% CI)
Incidence angle
N: 32.4 ± 0.4°
S: 6.7 ± 0.3°
25.7 ± 0.6°
Temperature
N: 207.7 ± 0.3 K
S: 217.4 ± 0.0 K
À9.7 ± 0.3 K
Slope
N: 22.4 ± 0.3°
S: 21.1 ± 0.4°
1.3 ± 0.5°
Aspect
N: 192 ± 3°
S: 11° ± 3°
À179 ± 4°
Wall height
N: 8,095 ± 164 m
S: 7,299 ± 178 m
796 ± 149 m
Rim elevation
N: 3,408 ± 153 m
S: 2,656 ± 160 m
752 ± 140 m
Bottom elevation
N: À4,686 ± 48 m
S: À4,643 ± 59 m
À43 ± 64 m
Figure 5. Variation in slope angle with longitude for north and south walls.
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10. wall is the same as for the north wall, despite the essentially
constant surface temperature along the south wall. These
observations suggest that variations in wall slope angle have
little relation to surface temperature variations and hence to
hypothesized ground ice distribution patterns.
7. Discussion
7.1. Role of Volatiles in the Strength and Erosion of
Trough Walls
[50] Although the presence of ice and its sublimation
have been previously referred to as possible causes of
variations in wallrock strength and erodability in Valles
Marineris [e.g., Peulvast et al., 2001; Me`ge and Gatineau,
2003], the evidence for it to date has been largely circum-
stantial. Peulvast et al. [2001] used ejecta mobility data
from rampart craters on the plateaus in the vicinity of Valles
Marineris to make inferences about material rheology,
which they argued reflected variations in host rock volatile
(ice) content and therefore in the strength (erodability) of
trough wall rock. They found a loose correlation between
high values of host rock ice content and the areas of greatest
trough widening (central troughs), and attributed this to the
former presence of ground ice where sublimation of the ice
Figure 6. Variation in slope angle difference with longitude.
Figure 7. Mean surface temperature variation with longitude for Coprates Chasma. Spearman rank
correlation for north wall data is À0.56 (p < 0.000) and for south wall data is 0.12 (p = 0.06).
E12004 JERNSLETTEN: GROUND ICE IN THE WALLS OF COPRATES CHASMA, MARS
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11. matrix had reduced the strength of materials into which the
wall surfaces were eroding. Trough walls with lesser
amounts of wall retreat (eastern and western troughs) were
interpreted as having lower proportions of cryospheric
volatiles due, perhaps, to being less porous. However, the
spatial patterns of material property values produced were
in fact somewhat loosely constrained, and based on the
assumption that the properties of the rock already eroded by
the widening troughs were similar to those of the rock
constituting the surrounding plateaus.
[51] In contrast to the findings of Peulvast et al. [2001],
the results of this study are at variance with the idea that
wall strength and rates/amounts of erosion have been con-
trolled by differentials in ice distribution within trough wall-
forming materials. The observed pattern of wall slope angle
variation within the trough is not consistent with the
hypothesized distribution and condition of ground ice within
the walls, on the basis of three points of evidence. First, the
difference in slope angle between the north and south walls,
contrary to predictions based on asymmetrical patterns of
temperature and of predicted ground ice distribution, does
not increase eastward along the trough. Second, the sections
of wall at the east end of the south wall and at the west end of
the north wall have the same average slope angle but
temperatures that differ by some 7–8 K. Third, the increase
in average slope angle along the trough for the south wall
(about 1.5° from west to east) is the same as for the north
wall, but with no change in surface temperature. The major
inference drawn from the results is that ice has been absent
from the slope-forming materials underlying the walls of
Coprates Chasma for geologically significant timescales,
corresponding to the time since the spur-and-gully morphol-
ogy was formed (early Middle Amazonian). An additional
test of the possible influence of volatiles on wall erodability
is that the westward increase in host rock volatile concen-
tration along Coprates Chasma as proposed by Peulvast et
al. [2001] would be expected to produce a westward
widening of the trough. However, the topographic data used
in the current study show that the trough measures 100–
125 km in both the eastern and western sections and pinches
to 70–105 km in the central section (Figure 1b).
7.2. Constraints on the Formation of Spur-and-Gully
Morphology and on Landsliding
[52] The dominant type of erosional morphology of the
walls of Coprates Chasma is spur-and-gully morphology,
with a few landslides being confined to the western end of
the trough. The age of the spur-and-gully erosion is not
certain [e.g., Lucchitta, 1999], although the morphology is
destroyed by landslides where they occur (in both western
Coprates Chasma, and more extensively in other troughs),
and the erosional style does not seem to have developed
on the landslide headscarps nor on young fault scarps
[Lucchitta, 1979; Lucchitta et al., 1992]. The landslides
must therefore post-date the formation of the spur-and-gully
erosion. Recent dating of landslides by Quantin et al.
[2003] in Valles Marineris indicates that the landslides have
occurred in ‘‘batches’’ with ages ranging from 1–2 Gyr to
100 million years. This result would seem to discount the
possibility that spurs and gullies could be actively forming
on landslide headscarps as it would have started to appear
after 1–2 Gyr of erosion on the older scars. A maximum
age for the onset of erosion of the spur-and-gully morphol-
ogy is Early Amazonian, given that its development post-
dates the formation of grabens on Ophir Planum [Blasius et
al., 1977; Schultz, 1991, 1998]. In addition, the timing of
the erosion would also appear to be restricted by its onlap
onto the morphology of interior layered deposits aged Late
Hesperian through to Middle Amazonian [Schultz, 1991;
Komatsu et al., 1993]. The spur-and-gully topography is
therefore a relict topography dating back to around the early
Middle Amazonian.
Table 3. Spearman Rank Correlations of Slope Angle With Location and Trough Geometry Parameters for North and
South Wallsa
Latitude Longitude
Width
at Rims
Width at
Bottoms
Wall
Height
Rim
Elevation
Bottom
Elevation
North Wall Slope Angle
Correlation coefficient À0.224b
0.222b
À0.052 À0.091 À0.155c,d
À0.065 0.101
Sig. (2-tailed) 0.000 0.000 0.415 0.155 0.015 0.309 0.113
South Wall Slope Angle
Correlation coefficient À0.118 0.110 À0.368b
À0.108 0.046 À0.017 À0.332b
Sig. (2-tailed) 0.063 0.083 0.000 0.092 0.476 0.786 0.000
a
N = 247 for all correlations.
b
Correlation is significant at the 0.01 level (2-tailed).
c
Correlation is significant at the 0.05 level (2-tailed).
d
Correlation can be ignored as wall height data are bimodal.
Table 4. Correlations of Slope Angle Difference With Location and Trough Wall Geometry Parametersa
North Wall and South Wall Data
Latitude Longitude
Width
at Rims
Width at
Bottoms
Rim Elevation
Difference
Bottom Elevation
Difference
Wall Height
Difference
Slope angle difference
Correlation coefficient À0.027 0.053 0.251b
0.001 0.085 0.052 0.053
Sig. (2-tailed) 0.674 0.409 0.000 0.990 0.185 0.412 0.403
a
N = 247 for all correlations.
b
Correlation is significant at the 0.01 level (2-tailed).
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12. [53] The spur-and-gully morphology could conceivably
have been produced either by dry mass wasting character-
istic of a cold climate [e.g., Blasius et al., 1977; Sullivan,
1992], or by running water, or by subaqueous processes
when the trough was flooded or filled by a lake [e.g.,
Lucchitta et al., 1994]. Sullivan [1992] suggested that the
spur-and-gully morphology is a result of periodic removal
of weathered debris by avalanche chute movements of
depths ranging up to 150 m. The cycle starts with the
weathering and weakening of trough wall surface materials
until a critical thickness of material is reached and removed
under the stress of its own weight by mass movement. The
weakening of layers to depths of up to 150 m was
postulated to be due to the sublimation of ice, with the
bases of rock avalanches being activated at the ice table
which would be expected to provide a strength discontinu-
ity. The results of this study do not support the dry mass
wasting origin for the spur-and-gully morphology with
erosion rates controlled by the sublimation of ice. There is
no topographic signature consistent with the expected three-
dimensional distribution of ground ice along the trough, or
with its differential distribution across the two walls, that
supports such an origin. Such an origin, if ice were
involved, should have given rise to topographic asymme-
tries and patterns consistent with differentials in the distri-
bution and strength of ice across the two walls. If the role of
ground ice in the formation of the spur-and-gully topogra-
phy can thus be ruled out, this constrains the origin of the
morphology to the action of liquid water, either by overland/
subsurface flow or by submarine processes [Lucchitta,
1978; Lucchitta et al., 1994]. In addition, given the inferred
absence of ground ice within the trough walls during the
period when landslides were destroying the spur-and-gully
morphology in some wall sections, it seems evident that the
initiation and mobilization of these mass movements did not
involve ice, at least in the walls of Coprates Chasma.
Existing explanations of landslide initiation that involve
the melting of ice therefore need to be re-evaluated.
7.3. Alternative Explanations of Trough Wall Slope
Variation
[54] Several processes or mechanisms not involved with
volatiles could conceivably have caused slope angle varia-
tion (including opposing wall asymmetry) in trough walls.
These include gross variations/differences in trough geom-
etry (e.g., trough depth), structural/tectonic mechanisms
[Schultz, 1991; Peulvast et al., 2001; Me`ge and Gatineau,
2003], and rock mass strength mechanical stability differ-
ences [Schultz, 2002; Me`ge and Gatineau, 2003]. Correla-
tions of slope angle and slope angle difference with trough
geometry factors such as rim elevation and wall height as
determined in this study are fairly weak or insignificant,
even though these parameters exhibit variation along the
trough and show differences between opposing walls. These
results suggest that trough geometric factors have little
bearing on slope angle variations along the trough walls
or on slope angle differences between the two trough walls.
[55] Structural and tectonic processes could potentially
impart variations in erosion and topography along each
wall, and produce differentials in slope angle between the
walls. The slope angle asymmetry measured, for example,
could be produced by an asymmetric graben structure.
Coprates Chasma exhibits a strong graben-like form, its
tectonic origin reflected by inward-dipping normal bound-
ary faults and interior fault scarps [Schultz, 1991]. Schultz’s
[1991] study of the structural development of the trough led
him to conclude that the cross-sectional geometry of the
trough may be characterized by a subtle, down-to-the-north
half-graben structure, with the master fault running along
the northern margin of the trough. However, he recognized
that better data were needed to detect topographic trends
(such as a sloping trough floor, a good indicator of the
presence of structural asymmetry) to verify the asymmetric
graben hypothesis. Wall bottom elevations measured in this
study and which mark the level of the trough floor at the
base of each wall show no statistical difference between
the north and south walls as judged using a paired t-test
(Table 2). On this evidence, it is concluded that the average
across-trough slope gradient of the trough floor is negligi-
ble, and that Coprates Chasma is most likely a symmetric
graben. The measured trough wall slope angle asymmetry
(north wall on average steeper) is therefore unlikely to be a
result of asymmetric graben geometry.
[56] A final, and favored, possibility to explain the
variation in slope angle and slope angle difference along
the trough concerns local and regional contrasts in the rock
mass strength of wallrock [Schultz, 2002; Me`ge and
Gatineau, 2003], bearing in mind that the results presented
here preclude differences in wall strength resulting from
variations in ice content or in the variable desiccation of
wall material [cf. Peulvast et al., 2001; Me`ge and Gatineau,
2003]. The topographic slopes measured exhibit an angle-
height pattern that cuts across lines of equal rock mass
rating (strength) (Figure 8), interpreted as meaning that the
wallrock constituting the slopes exhibits spatial variation in
its resistance to erosion. The inferred strength of the wall-
rock is inferred to be an RMR of 50–75, characteristic of a
reasonably coherent but well-jointed rock mass [Schultz,
2002]. Any variations in the orientation and dip of the
layering and joints of the wallrock, or in joint continuity and
density, would affect the rock mass strength of the rock
[Selby, 1980; Bieniawski, 1989; Schultz, 2002; Me`ge and
Gatineau, 2003], and could explain some of the variation in
slope angle along each trough wall.
8. Conclusion
[57] This study has used a novel approach to investigate
aspects of the evolution of the trough walls in Coprates
Chasma, with particular reference to the possible role of ice
and to the formation of spur-and-gully morphology. The
investigation set out to discover whether the pattern of slope
angle variation of the walls is consistent with the hypoth-
esized presence of ground ice within the walls. Calculated
mean annual surface temperature variations along each wall,
and temperature differences between the two walls, were
used to define the predicted three-dimensional distribution,
thermal condition, and strength of ground ice. The observed
wall slope angle variation is not consistent with the predicted
distribution and condition of ground ice. It is inferred that the
erosional morphology of the trough walls is not a function of
ice-related processes, and that ground ice has been absent for
most or all of the time since the spur-and-gully topography
formed (around the early Middle Amazonian).
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13. [58] Given the apparent longevity of the spur-and-gully
morphology, and because the topographic patterns pre-
sented indicate the absence of ground ice, it is likely the
spurs and gullies were formed by the action of liquid water
(either subaerial or submarine) and not by dry mast-wasting
above an ice-rich crust. Landslides, where they occur in the
spur-and-gully morphology in Coprates Chasma, have by
implication neither been initiated by ice-related processes
nor mobilized by ground ice. These findings demand a
reconsideration of the role/non-role of volatiles in influenc-
ing both the erosional susceptibility of the trough walls and
the dynamics of the contributing slope-forming processes.
The evolution of the spur-and-gully morphology is still not
well understood and the morphology remains under-studied
(compared with landslide wall sections) given that it is the
predominant wallrock form in Valles Marineris. Insights
into its form and evolution could be gained from a detailed
morphometric analysis using MOLA topography.
[59] Acknowledgments. I gratefully acknowledge funding for this
work from the Research Council of Norway through doctoral fellowship
number NFR 128197/410 (later 128197/410/bg). I thank the Lunar and
Planetary Institute for their hospitality and Rice University for additional
financial support. Eystein Husebye at the University of Bergen is acknowl-
edged for facilitating the completion of this project. I thank Steve Clifford,
Dale Sawyer, and two anonymous reviewers for providing critical and
constructive comments on earlier versions.
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J. A. Jernsletten, 1917 Florida Drive, Seabrook, TX 77586-2985, USA.
( joern@jernsletten.name)
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