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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4700
EXPERIMENTAL STUDY ON FLOW NET THROUGH MULTILAYERED SOIL
BY USING HYDRAULIC MODEL
PRAVEENKUMAR G1, JAMEER KHAN S2, MOHAN RAJ P3, PREM R4, THARINI K5
1,2,3,4 –Students, Department of Civil Engineering, SRM Valliammai Engg College, Chengalpattu, Tamilnadu.
5–Assistant Professor, Department of Civil Engineering, SRM Valliammai Engg College, Chengalpattu, Tamilnadu.
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - In this experimental study hydraulic modelling
used to determine the flow net in order to analyse seepage flow
through multilayered soil foundation underneath hydraulic
structure and also to study the consequence of the cut-off
inclinationangleonexitgradient, upliftpressureandquantityof
seepagebyusingseepagetankwithinclinedcut-off.Thephysical
model (seepage tank) was designed with three cut-off angles
which are 90˚, 45˚, 120˚, at both upstream and downstream.
After study state flow line is constructed by dye injection in the
soil from equipotential lines can be constructed by piezometer
fixedtomeasurethetotalhead. Fromtheflownetwecanableto
identifythebestplaceandcut-offinclinationangletoreducethe
seepage effect.
Key Words: Flow net, Multi-layered soil foundation,Inclined
cut-off wall, Exit gradient, Uplift pressure, Seepage quantity.
1-INTRODUCTION
Dams, weirs, sheet pile wall etc., are some of the
engineering structures designed and constructed in such a
way in order to operate them to control natural water or
save industrial sources to guarantee optimum use of water.
These structures are frequently built on soil material
therefore analysis and design of foundation, as compared
with other part of structure, should be given greater
importance because failure in foundation would destroythe
whole structure.
The differential head in water levels between the
upstream and downstream acts on the foundation and
causes seepage flow. The effect of seepage under the
structure will generate uplift pressure on over laying
hydraulic structure. When this uplift pressure greater than
the overburden load acting downward will lift the structure
from the surrounding strata which leads to catastrophic
failure.
The quantity of seepageflowofwatershouldbe well
under minimum for optimum use of stored water resource.
The exit gradient of seepage flow should not be greater than
the critical hydraulic gradient to prevent quick sand
condition. To analyze seepage flow through the soil
foundation flow net is constructed byusinghydraulicmodel.
2-NEED FOR THE STUDY
In the construction of hydraulic structure such as dams,
barrages etc., extensive study on seepage is conducted to
control water loss through seepage and also to protect
structures from failure due to the effect of seepage pressure
in the foundation soil.
3-OBJECTIVE OF THE STUDY
1. To locate equipotential lines and flow lines by
conducting experiments in seepage tank containing
multi-layered soil sample.
2. To study the effect of different cut-offs inclinations on
exit gradient, uplift pressure underneath the
hydraulic structure, quality of seepage and to
determine the optimum inclinationangleofcut-offfor
upstream and downstreamsideofhydraulicstructure
4-METHODOLOGY
Design of seepage tank with inclined cut-off wall
Fabrication of seepage tank
Collection of soil to form multilayered section
Classification & characteristics of soil
Determination of equipotential lines & flow
lines for various inclination of cut-off wall
Analysis and discussions
Conclusion
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4701
5-DESIGN AND FABRICATION OF SEEPAGE TANK
Fig -5.1: Front view of seepage tank
Fig-5.2: Side view of seepage tank
Hydraulic model was designed and fabricated in
glass for a dimension of 900×600×400 mm. Hydraulic
structure representing dam wasmodelled with3layerof soil
below. Model was setup, with an inlet and outlet to maintain
a constant head of 170 mm between the upstream and
downstream levels. Cut-offs providedfora depthof120 mm.
Fig-5.3: Front view of setup (hydraulic model)
Fig-5.4: Piezometric setup at the back side of
the seepage tank
Tubes of diameter 6 mm were fixed at grids point
with an interval of 100 mm. These tubes acted as the
piezometers to determine the total head at grids to sketch
the equipotential lines.
6-COLLECTION OF SOIL SAMPLE
In order to form multilayered soil strata forflownet
study soil were collected from 3 different region. Soil
samples obtained are shown in figure 6.1, 6.2 and 6.3
Fig-6.1: Sample-A (River sand)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4702
Fig-6.2: Sample-B (Red soil)
Fig-6.3: Sample-C (Black soil)
 Sample – A (River sand) is collected from
Chengalpattu.
 Sample – A (Red soil) is collected from
Kattankulathur.
 Sample – A (Black soil) is collected from
Chengalpattu
7-CLASSIFICATIONANDCHARACTERISTICSOFSOIL
1. Grain size distribution of soil sample.
2. Hydraulic conductivity ( permeability of
soil )
7.1-Grain size distribution
Since >50% of the soil retained on 75 micron sieve, the soil
is classified based on its grain size.Theengineeringbehavior
of the small particles would differ from relatively large
particles that forms the basis of using size of the particleasa
criterion for classifying soil. So in order to classify the soil
size of the soil particles should be known for that purpose
sieve analysis is used to determine the size of the particles.
In India Bureau of Indian standards has adopted the soil
classification system called IS classificationsystemofsoil.So
we are going to classify the soil based on IS classification
system by conducting sieve analysis test on soil samples.
Fig-7.1: Particle size distribution curve
7.2-Hydraulic conductivity
The ease with the water can flow through the soil is called
permeability of soil its unit is m/sec. For determining the
permeability of the soil sample falling head permeameter is
used.
Table7.1: Classification & Characteristics of soil
Soil sample Soil classification Permeability
(m/s)
A SP 6×
B SW 2.07 ×
C SW - SM 9.75 ×
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4703
8-DETERMINATIONOFEQUIPOTENTIALLINESAND
FLOW LINES
8.1-Procedure
1. Taking the datum to be at the bottom of the tank,
install the soil in the form of three layer.
2. Feed the water to the seepage tank throughtheinlet
hose until the water level in the upstream region
reached the overflow hose level.
3. After reaching steady-state flow dye is injected
using syringe at the specific points, after a period of
time flow lines were drawn, which represents how
the flow of water within the soil particles.
4. After drawing flow lines, the vertical piezometers
were installed at the transparent glass vertically
into the soil to measure the total head in the points
to drawn the equipotential line.
5. Measure the discharge of drained water collected
from the downstream using the volumetric method
by using jar.
6. Record the reading of the piezometeric head of all
installed piezometers.
7. Put the cut-off at upstream side with the angle of
inclination for upstream (θ=45˚, θ=120˚,θ=90˚)and
repeat the step to find the best angles gave less
value of uplift pressure, exit gradient and quantity
of seepage.
8. Put the cut-off at downstream side with the angleof
inclination (θ=90˚, θ=120˚, θ=45˚) and repeat the
step to find the best angles gave less value of uplift
pressure, exit gradient and quantity of seepage.
8.2-Flow net for different cut-off inclination
Fig 8.1: Without cut-off wall (θ = 0˚)
Fig 8.2: Cut-off at upstream side θ = 45˚
Fig 8.3 Cut-off at upstream side θ = 90˚
Fig 8.4: Cut-off at downstream side θ = 90˚
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4704
Fig 8.5: Cut-off at downstream side θ = 120˚
Fig 8.6: Cut-off at both U/S and D/S θ = 90˚
9- ANALYSIS AND DISCUSSIONS
9.1 Effect of inclined cut-off and its position on the
uplift pressure
Distance (m)
Fig 9.1: Uplift head for different values of (θ) for cut-off in
U/S
As shown in figure (9.1) when cut-off in upstream
side of hydraulic structure was inclined with different
angles, it is noticed that the uplift pressure underneath the
hydraulic structure decreases as θ decrease towardU/S.For
(θ = 90˚, 45˚) where maximum reduction in uplift pressure
according to the general case θ = 0˚ was 28%, 30.3%,
respectively, so that the best angle is 45˚.
Distance (m)
Fig 9.2: Uplift head for different values of (θ) for cut- Off in
D/S
From figure 9.2, when the cut-off in downstream side of
hydraulic structure is used, the uplift pressure obtained
decreases as θ decreases towards U/S side for θ = 120˚, 90˚.
For (θ = 120˚, 90˚) where maximum reduction in uplift
pressure according to the general caseθ=0˚was6.9%,5.4%.
It is clear that reduction in uplift pressure is minimum. So, it
is not recommended to use cut-off wall under any angle of
inclination at downstream.
Distance (m)
Fig 9.3 Uplift head for different values of (θ) for cut-off
in U/S and D/S
Pressurehead(m)
Pressurehead(m)
Pressurehead(m)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4705
As cut-off wall positioned in U/S and D/S part of
hydraulic structure as shown in figure 9.3, theupliftreduced
strongly with maximum difference of uplift pressure was
32.3%.
9.2- Effect of inclined cut-offanditspositiononExit
Gradient
Distance (m)
Fig 9.4 Exit gradient values for different θ values for Cut-
off in U/S
From figure 9.4, when the cut-off put in upstream
side of hydraulic structure it is found that the reduction in
values of exit gradient were so small and as follows for θ =
45˚, 90, where the maximum reductioninexitgradientwhen
compared to the θ =0 is 2%, 3.3%.
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0. 04 0. 1
θ = 0˚ θ = 90˚ θ = 120˚
Distance (m)
Fig 9.5: Exit gradient values for different θ values for Cut-
off in D/S
From figure 9.5, when the cut-off put in upstream
side of hydraulic structure the exit gradient decreases as θ
increases toward the D/S for θ = 90˚, 120 the maximum
reduction in exit gradient accordingtothegeneral caseθ=0˚
are 16.3%, 23% respectively. These results showsthatusing
cut-off in D/S with inclination angle of θ = 120 increase the
safety against the sand boiling.
Distance (m)
Fig 9.6: Exit gradient values for different θ values For cut-
off in U/S and D/S
As cut-off wall positioned in U/S and D/S part of
hydraulic structure as shown in figure 9.6, the exit gradient
reduced with maximum difference of uplift pressure was
26.6 %.
9.3 Effect of inclined cut-off and its position on the
Seepage quantity
Fig 9.7: Seepage quantity range of different values of θ for
Cut-off in U/S
ExitgradientExitgradient
Exitgradient
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4706
When the cut-off is in U/S side, it is found that least
quantity of seepage occurred when θ =90˚.
Fig 9.8: Seepage quantity range of different values
Of θ for cut-off in D/S
When the cut-off is in D/S side, it is found that least
quantity of seepage occurred when θ = 90˚. But the quantity
is still more when compared to U/S.
Fig 9.9 Seepage quantity range of different values of θ
for cut-off both U/S and D/S
When the cut-off in both U/S and D/S part the seepage
quantity decreases when compared with general case as
shown in fig 9.9
10-CONCLUSIONS
1. The minimum value of uplift pressure (30.3%
reduction in uplift pressure when compared to
without cut-off wall case) was obtained when the
cut-off used in upstream part of hydraulic structure
is at the right angle of inclination (θ=45˚).
2. The minimum value of the exit gradient (23%
reduction in exit gradient when compared to
without cut-off wall case) in downstream side was
obtained when cut-off used in downstream part of
hydraulic structure is at angle (θ=120˚).
3. The minimum value of seepage quantity (42.85%
reduction in seepage quantity when compared to
without cut-off wall case) was obtained when the
cut-off used in upstream part of hydraulic structure
was at angle (θ=90˚).
4. Using double cut-off at the upstream and
downstream side of dam at right angle reduced the
uplift pressure, exit gradient and quality of seepage
at the same time.
REFERENCES
[1] Aburohim, M. A., (1992) “Experimental study for the
effect of seepage past hydraulic structures on the uplift
pressure along the flow”, Alexandria Engineering
Journal, Volume 31, Issue 1.
[2] Arslan, C.A. and Mohammad, S.A. (2011). “Experimental
and Theoretical Study forPiezometricHeadDistribution
under Hydraulic Structures”. Department of Civil
Engineering; College of Engineering, University of
Kirkuk Volume 6, No.
[3] Desai S.C. and Christian T.J. (1977). “Numerical Methods
in geotechnical engineering. “McGraw-Hill Book
Company, New York.
[4] Najm, O. S. A. and Hala, K. T. A., (2015) “Experimental
Study for Piezometeric Head Distribution Under
Hydraulic Structures” International Journal of Scientific
and Technology Research Volume 4, Issue 04.
[5] Shashi, K. G. and Manoj, D., “Geotechnical Engineering”,
Tata McGrew-Hill publishing Company Limited, New
Delhi, 1985.
[6] Zheng-yi F. and Jonathan T.H. (2006). “The epsilon
method: Analysisofseepage beneathanimpervious dam
with sheet pile on a layered soil. “NRC Research Press,
Canada Geotechnical Journal Volume 43, P59-69.

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IRJET - Experimental Study on Flow Net through Multilayered Soil by using Hydraulic Model

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4700 EXPERIMENTAL STUDY ON FLOW NET THROUGH MULTILAYERED SOIL BY USING HYDRAULIC MODEL PRAVEENKUMAR G1, JAMEER KHAN S2, MOHAN RAJ P3, PREM R4, THARINI K5 1,2,3,4 –Students, Department of Civil Engineering, SRM Valliammai Engg College, Chengalpattu, Tamilnadu. 5–Assistant Professor, Department of Civil Engineering, SRM Valliammai Engg College, Chengalpattu, Tamilnadu. ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In this experimental study hydraulic modelling used to determine the flow net in order to analyse seepage flow through multilayered soil foundation underneath hydraulic structure and also to study the consequence of the cut-off inclinationangleonexitgradient, upliftpressureandquantityof seepagebyusingseepagetankwithinclinedcut-off.Thephysical model (seepage tank) was designed with three cut-off angles which are 90˚, 45˚, 120˚, at both upstream and downstream. After study state flow line is constructed by dye injection in the soil from equipotential lines can be constructed by piezometer fixedtomeasurethetotalhead. Fromtheflownetwecanableto identifythebestplaceandcut-offinclinationangletoreducethe seepage effect. Key Words: Flow net, Multi-layered soil foundation,Inclined cut-off wall, Exit gradient, Uplift pressure, Seepage quantity. 1-INTRODUCTION Dams, weirs, sheet pile wall etc., are some of the engineering structures designed and constructed in such a way in order to operate them to control natural water or save industrial sources to guarantee optimum use of water. These structures are frequently built on soil material therefore analysis and design of foundation, as compared with other part of structure, should be given greater importance because failure in foundation would destroythe whole structure. The differential head in water levels between the upstream and downstream acts on the foundation and causes seepage flow. The effect of seepage under the structure will generate uplift pressure on over laying hydraulic structure. When this uplift pressure greater than the overburden load acting downward will lift the structure from the surrounding strata which leads to catastrophic failure. The quantity of seepageflowofwatershouldbe well under minimum for optimum use of stored water resource. The exit gradient of seepage flow should not be greater than the critical hydraulic gradient to prevent quick sand condition. To analyze seepage flow through the soil foundation flow net is constructed byusinghydraulicmodel. 2-NEED FOR THE STUDY In the construction of hydraulic structure such as dams, barrages etc., extensive study on seepage is conducted to control water loss through seepage and also to protect structures from failure due to the effect of seepage pressure in the foundation soil. 3-OBJECTIVE OF THE STUDY 1. To locate equipotential lines and flow lines by conducting experiments in seepage tank containing multi-layered soil sample. 2. To study the effect of different cut-offs inclinations on exit gradient, uplift pressure underneath the hydraulic structure, quality of seepage and to determine the optimum inclinationangleofcut-offfor upstream and downstreamsideofhydraulicstructure 4-METHODOLOGY Design of seepage tank with inclined cut-off wall Fabrication of seepage tank Collection of soil to form multilayered section Classification & characteristics of soil Determination of equipotential lines & flow lines for various inclination of cut-off wall Analysis and discussions Conclusion
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4701 5-DESIGN AND FABRICATION OF SEEPAGE TANK Fig -5.1: Front view of seepage tank Fig-5.2: Side view of seepage tank Hydraulic model was designed and fabricated in glass for a dimension of 900×600×400 mm. Hydraulic structure representing dam wasmodelled with3layerof soil below. Model was setup, with an inlet and outlet to maintain a constant head of 170 mm between the upstream and downstream levels. Cut-offs providedfora depthof120 mm. Fig-5.3: Front view of setup (hydraulic model) Fig-5.4: Piezometric setup at the back side of the seepage tank Tubes of diameter 6 mm were fixed at grids point with an interval of 100 mm. These tubes acted as the piezometers to determine the total head at grids to sketch the equipotential lines. 6-COLLECTION OF SOIL SAMPLE In order to form multilayered soil strata forflownet study soil were collected from 3 different region. Soil samples obtained are shown in figure 6.1, 6.2 and 6.3 Fig-6.1: Sample-A (River sand)
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4702 Fig-6.2: Sample-B (Red soil) Fig-6.3: Sample-C (Black soil)  Sample – A (River sand) is collected from Chengalpattu.  Sample – A (Red soil) is collected from Kattankulathur.  Sample – A (Black soil) is collected from Chengalpattu 7-CLASSIFICATIONANDCHARACTERISTICSOFSOIL 1. Grain size distribution of soil sample. 2. Hydraulic conductivity ( permeability of soil ) 7.1-Grain size distribution Since >50% of the soil retained on 75 micron sieve, the soil is classified based on its grain size.Theengineeringbehavior of the small particles would differ from relatively large particles that forms the basis of using size of the particleasa criterion for classifying soil. So in order to classify the soil size of the soil particles should be known for that purpose sieve analysis is used to determine the size of the particles. In India Bureau of Indian standards has adopted the soil classification system called IS classificationsystemofsoil.So we are going to classify the soil based on IS classification system by conducting sieve analysis test on soil samples. Fig-7.1: Particle size distribution curve 7.2-Hydraulic conductivity The ease with the water can flow through the soil is called permeability of soil its unit is m/sec. For determining the permeability of the soil sample falling head permeameter is used. Table7.1: Classification & Characteristics of soil Soil sample Soil classification Permeability (m/s) A SP 6× B SW 2.07 × C SW - SM 9.75 ×
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4703 8-DETERMINATIONOFEQUIPOTENTIALLINESAND FLOW LINES 8.1-Procedure 1. Taking the datum to be at the bottom of the tank, install the soil in the form of three layer. 2. Feed the water to the seepage tank throughtheinlet hose until the water level in the upstream region reached the overflow hose level. 3. After reaching steady-state flow dye is injected using syringe at the specific points, after a period of time flow lines were drawn, which represents how the flow of water within the soil particles. 4. After drawing flow lines, the vertical piezometers were installed at the transparent glass vertically into the soil to measure the total head in the points to drawn the equipotential line. 5. Measure the discharge of drained water collected from the downstream using the volumetric method by using jar. 6. Record the reading of the piezometeric head of all installed piezometers. 7. Put the cut-off at upstream side with the angle of inclination for upstream (θ=45˚, θ=120˚,θ=90˚)and repeat the step to find the best angles gave less value of uplift pressure, exit gradient and quantity of seepage. 8. Put the cut-off at downstream side with the angleof inclination (θ=90˚, θ=120˚, θ=45˚) and repeat the step to find the best angles gave less value of uplift pressure, exit gradient and quantity of seepage. 8.2-Flow net for different cut-off inclination Fig 8.1: Without cut-off wall (θ = 0˚) Fig 8.2: Cut-off at upstream side θ = 45˚ Fig 8.3 Cut-off at upstream side θ = 90˚ Fig 8.4: Cut-off at downstream side θ = 90˚
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4704 Fig 8.5: Cut-off at downstream side θ = 120˚ Fig 8.6: Cut-off at both U/S and D/S θ = 90˚ 9- ANALYSIS AND DISCUSSIONS 9.1 Effect of inclined cut-off and its position on the uplift pressure Distance (m) Fig 9.1: Uplift head for different values of (θ) for cut-off in U/S As shown in figure (9.1) when cut-off in upstream side of hydraulic structure was inclined with different angles, it is noticed that the uplift pressure underneath the hydraulic structure decreases as θ decrease towardU/S.For (θ = 90˚, 45˚) where maximum reduction in uplift pressure according to the general case θ = 0˚ was 28%, 30.3%, respectively, so that the best angle is 45˚. Distance (m) Fig 9.2: Uplift head for different values of (θ) for cut- Off in D/S From figure 9.2, when the cut-off in downstream side of hydraulic structure is used, the uplift pressure obtained decreases as θ decreases towards U/S side for θ = 120˚, 90˚. For (θ = 120˚, 90˚) where maximum reduction in uplift pressure according to the general caseθ=0˚was6.9%,5.4%. It is clear that reduction in uplift pressure is minimum. So, it is not recommended to use cut-off wall under any angle of inclination at downstream. Distance (m) Fig 9.3 Uplift head for different values of (θ) for cut-off in U/S and D/S Pressurehead(m) Pressurehead(m) Pressurehead(m)
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4705 As cut-off wall positioned in U/S and D/S part of hydraulic structure as shown in figure 9.3, theupliftreduced strongly with maximum difference of uplift pressure was 32.3%. 9.2- Effect of inclined cut-offanditspositiononExit Gradient Distance (m) Fig 9.4 Exit gradient values for different θ values for Cut- off in U/S From figure 9.4, when the cut-off put in upstream side of hydraulic structure it is found that the reduction in values of exit gradient were so small and as follows for θ = 45˚, 90, where the maximum reductioninexitgradientwhen compared to the θ =0 is 2%, 3.3%. 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0. 04 0. 1 θ = 0˚ θ = 90˚ θ = 120˚ Distance (m) Fig 9.5: Exit gradient values for different θ values for Cut- off in D/S From figure 9.5, when the cut-off put in upstream side of hydraulic structure the exit gradient decreases as θ increases toward the D/S for θ = 90˚, 120 the maximum reduction in exit gradient accordingtothegeneral caseθ=0˚ are 16.3%, 23% respectively. These results showsthatusing cut-off in D/S with inclination angle of θ = 120 increase the safety against the sand boiling. Distance (m) Fig 9.6: Exit gradient values for different θ values For cut- off in U/S and D/S As cut-off wall positioned in U/S and D/S part of hydraulic structure as shown in figure 9.6, the exit gradient reduced with maximum difference of uplift pressure was 26.6 %. 9.3 Effect of inclined cut-off and its position on the Seepage quantity Fig 9.7: Seepage quantity range of different values of θ for Cut-off in U/S ExitgradientExitgradient Exitgradient
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 4706 When the cut-off is in U/S side, it is found that least quantity of seepage occurred when θ =90˚. Fig 9.8: Seepage quantity range of different values Of θ for cut-off in D/S When the cut-off is in D/S side, it is found that least quantity of seepage occurred when θ = 90˚. But the quantity is still more when compared to U/S. Fig 9.9 Seepage quantity range of different values of θ for cut-off both U/S and D/S When the cut-off in both U/S and D/S part the seepage quantity decreases when compared with general case as shown in fig 9.9 10-CONCLUSIONS 1. The minimum value of uplift pressure (30.3% reduction in uplift pressure when compared to without cut-off wall case) was obtained when the cut-off used in upstream part of hydraulic structure is at the right angle of inclination (θ=45˚). 2. The minimum value of the exit gradient (23% reduction in exit gradient when compared to without cut-off wall case) in downstream side was obtained when cut-off used in downstream part of hydraulic structure is at angle (θ=120˚). 3. The minimum value of seepage quantity (42.85% reduction in seepage quantity when compared to without cut-off wall case) was obtained when the cut-off used in upstream part of hydraulic structure was at angle (θ=90˚). 4. Using double cut-off at the upstream and downstream side of dam at right angle reduced the uplift pressure, exit gradient and quality of seepage at the same time. REFERENCES [1] Aburohim, M. A., (1992) “Experimental study for the effect of seepage past hydraulic structures on the uplift pressure along the flow”, Alexandria Engineering Journal, Volume 31, Issue 1. [2] Arslan, C.A. and Mohammad, S.A. (2011). “Experimental and Theoretical Study forPiezometricHeadDistribution under Hydraulic Structures”. Department of Civil Engineering; College of Engineering, University of Kirkuk Volume 6, No. [3] Desai S.C. and Christian T.J. (1977). “Numerical Methods in geotechnical engineering. “McGraw-Hill Book Company, New York. [4] Najm, O. S. A. and Hala, K. T. A., (2015) “Experimental Study for Piezometeric Head Distribution Under Hydraulic Structures” International Journal of Scientific and Technology Research Volume 4, Issue 04. [5] Shashi, K. G. and Manoj, D., “Geotechnical Engineering”, Tata McGrew-Hill publishing Company Limited, New Delhi, 1985. [6] Zheng-yi F. and Jonathan T.H. (2006). “The epsilon method: Analysisofseepage beneathanimpervious dam with sheet pile on a layered soil. “NRC Research Press, Canada Geotechnical Journal Volume 43, P59-69.