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Rock Mechanics I
Course CEE9577
Properties of Rocks
Rock as an Engineering Material
Rock as an Engineering Material
โ€ข It differs from other engineering materials in that it contains
discontinuities such as joints, bedding planes, folds, shear zones and
faults which render its structure discontinuous
โ€ข It could be broadly classified into two categories according to the
l d it i fl th ll b h i f th k
scale and its influence on the overall behaviour of the rock mass
Intact Rock
โ€ข Continuum of polycrystalline solid between continuities consisting of
p y y g
an aggregate of minerals or grains. Its properties are governed by
the physical properties of the materials of which it is composed of
and the manner in which they are bonded to each other
Rock Mass
โ€ข The in-situ medium which comprises intact rock blocks separated by
discontinuities. Rock masses are generally discontinuous and often
have heterogeneous and anisotropic properties.
Simplified Representation of Transition from
Intact Rock to Heavily Jointed Rock Mass
Simplified representation of transition from intact rock
to heavily jointed rock mass due to scale effect (after Hoek, 1995)
Geological Classification of Intact Rock
Geological Classification of Intact Rock
( ) I t t R k R k f i i l
(a) Intact Rock - Rock-forming minerals
Rock are composed of minerals. The common rock forming minerals are:
๏ƒ˜ O th l f l
๏ƒ˜ Orthoclase felspar
๏ƒ˜ Plagioclase felspar
๏ƒ˜ Quartz
๏ƒ˜ Muscovite
๏ƒ˜ Bi tit
๏ƒ˜ Biotite
๏ƒ˜ Hornblende
๏ƒ˜ Augite
๏ƒ˜ Olivine
๏ƒ˜ C l it
๏ƒ˜ Calcite
๏ƒ˜ Dolomite
๏ƒ˜ Kaolinite
๏ƒ˜ Hematite
Common Rock Forming Minerals
Intact Rock โ€“ Elementary Rock Classification
(b) Intact Rock โ€“ Elementary Rock Classification
Intact rocks are classified into three (3) main groups according to
processes by which they are formed:
โ€ข Igneous Rocks โ€“ formed by crystallization of molten magma Mode
โ€ข Igneous Rocks โ€“ formed by crystallization of molten magma. Mode
of crystallization at depth or by extrusion (rising from depth) and the
rate of cooling affect the rock structure and crystal size
โ€ข Metamorphic Rocks formed as a result of metamorphism which is
โ€ข Metamorphic Rocks โ€“ formed as a result of metamorphism which is
the solid state conversion of pre-existing rocks by temperature,
pressure or chemical changes
โ€ข Sedimentary Rocks sedimentary rocks are formed from the
โ€ข Sedimentary Rocks โ€“ sedimentary rocks are formed from the
consolidation of sediments. As a result of this process, sedimentary
rocks almost invariably possess a distinct stratified, or bedded
structure
Geological Classification of Igneous Rocks
Geological Classification of Igneous Rocks
Igneous Rocks in Thin Sections
Mafic Igneous Rocks
Mafic minerals are
usually dark in colour
with high s..g (>3)
Felsic Igneous Rocks
Felsic
minerals
are lighter
in colour
in colour
with lower
s.g. (<3)
Geological Classification of Metamorphic
Rocks
โ€ข Geological Classification of Metamorphic Rocks
Metamorphic Rocks in Thin Sections
Geological Classification of Sedimentary
Rocks
Geological Classification of Sedimentary Rocks
Sedimentary Rocks in Thin Sections
Engineering Classification of Intact Rocks
Engineering Classification of Intact Rocks
โ€ข The engineering classification of intact rocks is based of
strength and/or deformation properties of the rock.
g p p
โ€ข According to the classification system recommended by the
International Society of Rock Mechanics (ISRM 1978c)
International Society of Rock Mechanics (ISRM 1978c),
rock may range from extremely weak to extremely strong
depending on the unconfined compressive strength (or
Point Load Strength Index) or approximate field
g ) pp
identification.
Engineering Classification of Rocks
by Strength
y g
Engineering Classification of Intact Rocks
by Strength and Deformation Properties
Engineering Classification of
Intact Rocks by Strength and
Deformation Properties (After
Deformation Properties (After
Deere and Miller, 1966)
Index Properties of Intact Rocks
I d P ti f I t t R k
Index Properties of Intact Rocks
Index properties of rocks are generally determined in the
laboratory or in the field to provide an initial quantitative
description of the rocks. They can be used to estimate the
mechanical and hydraulic properties of the rocks. However,
determination of the index properties could not replace detailed
characterization of the rocks.
Common Laboratory Index Tests for Rock
โ€ข Unconfined (uniaxial) compression Primary index test for strength and deformability of
intact rock; required input to rock mass classification
systems.
โ€ข Point load test Indirect method to determine unconfined compressive
(UC) strength; can be performed in the field on core
pieces unsuitable for UC tests
โ€ข Water content Indirect indication of porosity of intact rock or clay
p y y
content of sedimentary rock.
โ€ข Unit weight and total porosity Indirect indication of weathering and soundness.
โ€ข Splitting strength of rock Indirect method to determine the tensile strength of
(Brazilian tensile strength method) intact rock
(Brazilian tensile strength method) intact rock.
โ€ข Durability (Slake durability) Index of weatherability of rock exposed in excavations.
โ€ข Specific gravity of solids Indirect indication of soundness of rock intended for
use as riprap.
โ€ข Rebound number Index of relative hardness of intact rock cores.
โ€ข Permeability Intact rock (no joints or major defects).
โ€ข Petrographic examination Performed on representative cores of each significant
โ€ข Petrographic examination Performed on representative cores of each significant
lithologic unit.
โ€ข Specific gravity and absorption Indirect indication of soundness and deformability
Typical Porosity Values of Intact Rocks
Porosity (n) โ€“ ratio of
void or pore volume ,
Vv to the total volume,
V of the rock. It is
dimensionless and
varies significantly for
varies significantly for
different rock types or
even for the same rock
type due to different
factors such as grain
i di t ib ti i
size distribution, grain
shape, depth and
pressure
n = Vv/V
Point Load Strength Index
The Point Load Strength Index is often used to provide a quick assessment
of the uniaxial tensile and compressive strength of the rock and can easily
be determined in the field or laboratory on rock lumps or cored samples.
Fig. 4.1
Determination of Point Load Strength Index
Note: N-size core is 50mm dia.
Determination of Uniaxial Tensile Strength
from Point Load Strength Index
g
Correlation Between Point Load Strength Index
and Uniaxial Compressive Strength
p g
Typical Values of Schmidt Hammer Rebound
Numbers and Variation of Point Load Index
Typical Values of L-type Schmidt
Hammer Rebound Numbers and
Hammer Rebound Numbers and
Variation of Point Load Index with
Schmidt Hammer Rebound Number
Dynamic Elastic Constants
โ€ข The dynamic elastic constants of a solid material can be determined by
measuring the propagation velocities of the material.
โ€ข For an isotropic solid, there are two types of body or freeโ€medium waves:
โ€ a longitudinal or compression wave which travels with velocity Vp
โ€ a shear or trasverse wave which travels with velocity Vs
โ€ข These velocities are related to the elastic constants by
E = Modulus of elasticity, G = Modulus of rigidity (or Shear modulus)
ฮฝ= Poissonโ€™s ratio , g = gravitational acceleration, ฮณ= Unit weight of the material
Dynamic Elastic Constants
G can be determined from the shear wave velocity, Vs ,without the knowledge of the Poissonโ€™s
ratio, ฮฝ. However the determination of the Elastic modulus E requires the value of ฮฝ.
B d th l ti hi
Based on the relationship:
Both the E and ฮฝcan be determined by the following equation:
Also from the relationship
Also from the relationship
The bulk modulus K can be determined
The bulk modulus K can be determined
Range of P wave velocity and S Wave Velocity
of Intact Rocks
Range of P wave
velocity and S Wave
velocity and S Wave
velocity of Intact
Rocks
Variation of P Wave Velocity
with Porosity and Density
with Porosity and Density
V i ti f P W
Variation of P Wave
Velocity with Porosity
and Density
Variation of Point Loand Index with
P Wave Velocity and Porosity
P Wave Velocity and Porosity
Variation of Point Load
Index with P Wave Velocity
and Porosity
and Porosity
Weathering Grade of Rock Mass
Weathering State of Rock Shown in Rock Cores
Completely weathered
Completely weathered
Completely weathered
Completely weathered
Highly weathered
Highly weathered
Moderately weathered
Moderately weathered
Slightly weathered
Slightly weathered
Fresh
Fresh
Schematic Profile and Descriptions of
Weathering in Rock
Weathering in Rock
Weathering Indices for Granite and
Relationship between Weathering and RQD
p g Q
Total Porosity and Dry Density of Granitic Rocks
at Different Weathering Stages
g g
Jointing and Hydraulic Conductivity of
Rock Formations in the Niagara Escarpment โ€“
Niagara Area
Average Physical and Mechanical Properties of Rock
Formations in the Niagara Escarpment โ€“
Niagara Area

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rockproperties.pdf

  • 1. Rock Mechanics I Course CEE9577 Properties of Rocks
  • 2. Rock as an Engineering Material Rock as an Engineering Material โ€ข It differs from other engineering materials in that it contains discontinuities such as joints, bedding planes, folds, shear zones and faults which render its structure discontinuous โ€ข It could be broadly classified into two categories according to the l d it i fl th ll b h i f th k scale and its influence on the overall behaviour of the rock mass Intact Rock โ€ข Continuum of polycrystalline solid between continuities consisting of p y y g an aggregate of minerals or grains. Its properties are governed by the physical properties of the materials of which it is composed of and the manner in which they are bonded to each other Rock Mass โ€ข The in-situ medium which comprises intact rock blocks separated by discontinuities. Rock masses are generally discontinuous and often have heterogeneous and anisotropic properties.
  • 3. Simplified Representation of Transition from Intact Rock to Heavily Jointed Rock Mass Simplified representation of transition from intact rock to heavily jointed rock mass due to scale effect (after Hoek, 1995)
  • 4. Geological Classification of Intact Rock Geological Classification of Intact Rock ( ) I t t R k R k f i i l (a) Intact Rock - Rock-forming minerals Rock are composed of minerals. The common rock forming minerals are: ๏ƒ˜ O th l f l ๏ƒ˜ Orthoclase felspar ๏ƒ˜ Plagioclase felspar ๏ƒ˜ Quartz ๏ƒ˜ Muscovite ๏ƒ˜ Bi tit ๏ƒ˜ Biotite ๏ƒ˜ Hornblende ๏ƒ˜ Augite ๏ƒ˜ Olivine ๏ƒ˜ C l it ๏ƒ˜ Calcite ๏ƒ˜ Dolomite ๏ƒ˜ Kaolinite ๏ƒ˜ Hematite
  • 6. Intact Rock โ€“ Elementary Rock Classification (b) Intact Rock โ€“ Elementary Rock Classification Intact rocks are classified into three (3) main groups according to processes by which they are formed: โ€ข Igneous Rocks โ€“ formed by crystallization of molten magma Mode โ€ข Igneous Rocks โ€“ formed by crystallization of molten magma. Mode of crystallization at depth or by extrusion (rising from depth) and the rate of cooling affect the rock structure and crystal size โ€ข Metamorphic Rocks formed as a result of metamorphism which is โ€ข Metamorphic Rocks โ€“ formed as a result of metamorphism which is the solid state conversion of pre-existing rocks by temperature, pressure or chemical changes โ€ข Sedimentary Rocks sedimentary rocks are formed from the โ€ข Sedimentary Rocks โ€“ sedimentary rocks are formed from the consolidation of sediments. As a result of this process, sedimentary rocks almost invariably possess a distinct stratified, or bedded structure
  • 7. Geological Classification of Igneous Rocks Geological Classification of Igneous Rocks
  • 8. Igneous Rocks in Thin Sections
  • 9. Mafic Igneous Rocks Mafic minerals are usually dark in colour with high s..g (>3)
  • 10. Felsic Igneous Rocks Felsic minerals are lighter in colour in colour with lower s.g. (<3)
  • 11. Geological Classification of Metamorphic Rocks โ€ข Geological Classification of Metamorphic Rocks
  • 12. Metamorphic Rocks in Thin Sections
  • 13. Geological Classification of Sedimentary Rocks Geological Classification of Sedimentary Rocks
  • 14. Sedimentary Rocks in Thin Sections
  • 15. Engineering Classification of Intact Rocks Engineering Classification of Intact Rocks โ€ข The engineering classification of intact rocks is based of strength and/or deformation properties of the rock. g p p โ€ข According to the classification system recommended by the International Society of Rock Mechanics (ISRM 1978c) International Society of Rock Mechanics (ISRM 1978c), rock may range from extremely weak to extremely strong depending on the unconfined compressive strength (or Point Load Strength Index) or approximate field g ) pp identification.
  • 16. Engineering Classification of Rocks by Strength y g
  • 17. Engineering Classification of Intact Rocks by Strength and Deformation Properties Engineering Classification of Intact Rocks by Strength and Deformation Properties (After Deformation Properties (After Deere and Miller, 1966)
  • 18. Index Properties of Intact Rocks I d P ti f I t t R k Index Properties of Intact Rocks Index properties of rocks are generally determined in the laboratory or in the field to provide an initial quantitative description of the rocks. They can be used to estimate the mechanical and hydraulic properties of the rocks. However, determination of the index properties could not replace detailed characterization of the rocks.
  • 19. Common Laboratory Index Tests for Rock โ€ข Unconfined (uniaxial) compression Primary index test for strength and deformability of intact rock; required input to rock mass classification systems. โ€ข Point load test Indirect method to determine unconfined compressive (UC) strength; can be performed in the field on core pieces unsuitable for UC tests โ€ข Water content Indirect indication of porosity of intact rock or clay p y y content of sedimentary rock. โ€ข Unit weight and total porosity Indirect indication of weathering and soundness. โ€ข Splitting strength of rock Indirect method to determine the tensile strength of (Brazilian tensile strength method) intact rock (Brazilian tensile strength method) intact rock. โ€ข Durability (Slake durability) Index of weatherability of rock exposed in excavations. โ€ข Specific gravity of solids Indirect indication of soundness of rock intended for use as riprap. โ€ข Rebound number Index of relative hardness of intact rock cores. โ€ข Permeability Intact rock (no joints or major defects). โ€ข Petrographic examination Performed on representative cores of each significant โ€ข Petrographic examination Performed on representative cores of each significant lithologic unit. โ€ข Specific gravity and absorption Indirect indication of soundness and deformability
  • 20. Typical Porosity Values of Intact Rocks Porosity (n) โ€“ ratio of void or pore volume , Vv to the total volume, V of the rock. It is dimensionless and varies significantly for varies significantly for different rock types or even for the same rock type due to different factors such as grain i di t ib ti i size distribution, grain shape, depth and pressure n = Vv/V
  • 21. Point Load Strength Index The Point Load Strength Index is often used to provide a quick assessment of the uniaxial tensile and compressive strength of the rock and can easily be determined in the field or laboratory on rock lumps or cored samples. Fig. 4.1
  • 22. Determination of Point Load Strength Index Note: N-size core is 50mm dia.
  • 23. Determination of Uniaxial Tensile Strength from Point Load Strength Index g
  • 24. Correlation Between Point Load Strength Index and Uniaxial Compressive Strength p g
  • 25. Typical Values of Schmidt Hammer Rebound Numbers and Variation of Point Load Index Typical Values of L-type Schmidt Hammer Rebound Numbers and Hammer Rebound Numbers and Variation of Point Load Index with Schmidt Hammer Rebound Number
  • 26. Dynamic Elastic Constants โ€ข The dynamic elastic constants of a solid material can be determined by measuring the propagation velocities of the material. โ€ข For an isotropic solid, there are two types of body or freeโ€medium waves: โ€ a longitudinal or compression wave which travels with velocity Vp โ€ a shear or trasverse wave which travels with velocity Vs โ€ข These velocities are related to the elastic constants by E = Modulus of elasticity, G = Modulus of rigidity (or Shear modulus) ฮฝ= Poissonโ€™s ratio , g = gravitational acceleration, ฮณ= Unit weight of the material
  • 27. Dynamic Elastic Constants G can be determined from the shear wave velocity, Vs ,without the knowledge of the Poissonโ€™s ratio, ฮฝ. However the determination of the Elastic modulus E requires the value of ฮฝ. B d th l ti hi Based on the relationship: Both the E and ฮฝcan be determined by the following equation: Also from the relationship Also from the relationship The bulk modulus K can be determined The bulk modulus K can be determined
  • 28. Range of P wave velocity and S Wave Velocity of Intact Rocks Range of P wave velocity and S Wave velocity and S Wave velocity of Intact Rocks
  • 29. Variation of P Wave Velocity with Porosity and Density with Porosity and Density V i ti f P W Variation of P Wave Velocity with Porosity and Density
  • 30. Variation of Point Loand Index with P Wave Velocity and Porosity P Wave Velocity and Porosity Variation of Point Load Index with P Wave Velocity and Porosity and Porosity
  • 31. Weathering Grade of Rock Mass
  • 32. Weathering State of Rock Shown in Rock Cores Completely weathered Completely weathered Completely weathered Completely weathered Highly weathered Highly weathered Moderately weathered Moderately weathered Slightly weathered Slightly weathered Fresh Fresh
  • 33. Schematic Profile and Descriptions of Weathering in Rock Weathering in Rock
  • 34. Weathering Indices for Granite and Relationship between Weathering and RQD p g Q
  • 35. Total Porosity and Dry Density of Granitic Rocks at Different Weathering Stages g g
  • 36.
  • 37. Jointing and Hydraulic Conductivity of Rock Formations in the Niagara Escarpment โ€“ Niagara Area
  • 38. Average Physical and Mechanical Properties of Rock Formations in the Niagara Escarpment โ€“ Niagara Area