ecg503 week 4 lecture note chp2
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GEOTECHNICAL ENGINEERING
ECG 503
LECTURE NOTE 03
TOPIC : 2 0 SLOPE RISK
ENGINEERING
31 JULY 2008
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LEARNING OUTCOMES
Learning outcomes:
At the end of this lecture/week the students would
be able to:
Conduct slope risk assessment analysis.
Determine the various of slope protection and
rehabilitation works.
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Types of slopes
Slope materials
Types of failures
Stability analysis
SLOPE
STABILITY
Classification of landslides
Cut Slope
Earth fill / embankment
Total stress vs.
effective stress
Shear strength
Plastic Equilibrium
Factor of safety
Methods
Infinite slopes
Finite slopes
OUTLINE soils
Slope instability
Increased in stress
Decreased in strength
Rocks
Residual soils
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TYPES OF LANDSLIDES
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TYPES OF LANDSLIDES (2)
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TPYE OF MOVEMENT
TYPE OF MATERIAL
Bedrock
Engineering soils
Predominantly coarse Predominantly fine
Falls Rock fall Debris fall Earth fall
Topples Rock topple Debris topple Earth topple
Slides
Rotational Rock slump Debris slump Earth slump
Translational
Few unitsRock block
slide
Debris block
slideEarth block slide
Many
unitsRock Slide Debris slide Earth slide
Lateral spreads Rock spread Debris spread Earth spread
FlowsRock flow
(deep creep)
Debris flow
(soil creep)
Earth flow
(soil creep)
Complex Combination of two or more principal types of movement
Classification of Landslides (Varnes, 1978)
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TYPES OF SLOPE1. Natural slopes
2. Engineered slopes
Cut slopes
Fill slopes: Road and
railway embankmentsinvolving compacted
soils
Retaining structures
Rock slopes Bogot (Colombia)Geogrid reinforced steep road
embankment
Engineered Cut Slope
Altered by excavation activities Slope failure of a roadembankment (fill slope)
Rock slope in Hong Kong
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FACTORS AFFECTING SLOPE STABILITY
1. Pore pressure increased
2. Erosion
3. Soil stratification
4. Soil degradation and weathering
5. Presence of tension cracks
6. Vegetative cover
7. Change of stress condition
8. Rise of the groundwater table9. Rock mass discontinuities
10. Rock mass state
Among the factors which may contribute to slope
sliding movements are :-
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Main items required to evaluate the
stability of a slope
1.Shear strength of soils
2.Slope geometry
3.Pore pressures or seepage forces
4.Loading and environmental conditions.
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Slope failure in natural
slope
TYPES OF SLOPE (continue)
The Wolf Mountainlandslide, a large
slump-debris flow
with an estimated
volume of 500,000
cubic yards,
occurred on May18, 1997 . The
debris flows
overran a 400-ft
stretch of U.S.
Highway 26-89, a
primary highway
leading to Jackson, and to
Yellowstone
National Park .
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Rock fall
Potential rock fall hazard
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Slope failure in residual soil formation involving rock fall
Bukit Lanjan
Kuala Lumpur
28th Nov 2003
Surcharge
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Rock slopes
Sheet jointing in
granite (Hong Kong)
Rock slide by undercutting
sheet joints (Hong Kong)
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Slope failure at Bukit Antarabangsa
Condominium (15/5/1999)
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Mud flow
Tragedy at Pos Dipang
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Tanah runtuh di Kampong Pasir, Hulu Klang
pada 31 Mei 2006 involved 4 lifes.
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ROCK FALL
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EXAMPLE OF
DEBRIS FLOW
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EXAMPLE OF EARTH FLOW
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EXAMPLE OF AN
EARTH SLUMP
(Rotational )
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EXAMPLE OF A SOIL CREEP
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EAST COAST EXPRESSWAY
169 kilometer
STEP
TURFING
TREE PLANTING
http://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lawatan%20Tim%20Menteri%2019_07_04%20065.jpghttp://www.uitm.edu.my/conference/stss_04/index.htm -
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CUT SLOPE
NORTH SOUTH EXPRESSWAY
848 kilometer
http://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Operasi/PLUS/highwayplus2.JPGhttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpg -
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EAST COAST EXPRESSWAY
169 kilometer
TURFING
DRAIN
http://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Bina/lpt/lebuhraya%20LPT%20(2).jpghttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPG -
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KL - KARAK HIGHWAY60 kilometer
TERRACING
TURFING
EXISTING TREE
CASCADED DRAIN
V SHAPED DRAIN
http://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk3.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPG -
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KL - KARAK HIGHWAY
60 kilometer
SLOPE CUTTING
EXISTING TREE
http://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/KLK/klk1.JPGhttp://www.llmnet.gov.my/bm/Operasi/SAE/Kesas2.JPG -
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SHAH ALAM EXPRESSWAY
34.5 kilometer
SOIL NAILING
GUNITING
SURFACE DRAINAGE
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COVERED BY CREEPERS GUNITING & TURFING
GUNITING GEOSYNTHETIC SHEET
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R.C WALL GUNITING
SOIL NAILING GUNITING
Normal question asked
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Normal question asked.
1. Why slopes fail during rainy season ?
2. Why slope failure due to rainfall is a shallow type slope failure ?
3. What is the important of unsaturated soil mechanics in slope stability ?
4. Why the distribution of the negative pore water pressure above GWT is ignore in the
conventional slope stability analysis ?
5. Why the stability analysis using the conventional method indicates slope failed i.e.
FOS < 1 whereas the slope is still standing ?
6. How does geotechnical engineer modelled slope failure due to rainfall infiltration
before understanding the unsaturated soil mechanics ?
7. Why slope that has been standing safely for quite a while suddenly fails ?
8. How does infiltration affect the stability of slope ?
9. Does soil shear strength continuously increase with suction ?
10. Can the conventional method of slope stability analysis modelled shallow type ofslope failure due to infiltration ?
11. Is the Highland Towers tragedy involved the subject of stability of slope in effect of
infiltration ?
12. Does the slope cover using shotcrete or plastic sheet help to stabilize the slope ?
PREVIOUS PRACTICE OF MODELLING SLOPE
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Geotechnical engineers used to model slope failure due to rainfall infiltration by
considering the GWT to rise. Whereas GWT in tropical residual soil is far below the
slope surface. The assumption does not depicts what actually happen in the field.
This happened because the mode of failure is not well understood besides the lack
of knowledge in the mechanics of unsaturated soils in the past.
1. Effective stress decrease due to
buoyancy effect of the
submerged section of the slice.
2. Therefore the shear resistance
decrease.
3. Thence, FOS decrease.
4. But still the shallow type of
slope failure cannot bemodelled.
PREVIOUS PRACTICE OF MODELLING SLOPE
FAILURE DUE TO RAINFALL INFILTRATION
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FEATURES OF A SLOPE FAILURE
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TERMINOLOGY
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SLOPE MATERIALS
Types of geologic soil deposits
Typical residual soil profile
(Little, 1969)
MODES OF SLOPE FAILURE
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MODES OF SLOPE FAILURE
Toe circle
Slope circle
Slope failureBase failure
Shallow slope failure
Typical of
slope failure
due to rainfallinfiltration
Translational slides
Theoretical model
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Theoretical model
for slope stability
Effective stress analysis ordinary slice method (Fellenius, 1927)
The theory doesnt work for rainfall
induced failure, therefore the factors
involved in the theoretical model need
to be changed or improved.
From theoretical model, the behaviour can be anticipated
before it actually happen.
Disturbing factor
Resisting factor
Mechanism of rainfallEffective stress and shear strength
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Rain
Mechanism of rainfall
induced slope failure
International Seminar on Civil and Infrastructure Engineering, UiTM 13 & 14 June 2006 (ISCIE 06)
A
At point A, effective
stress increase duringinfiltration. Effective
stress increase should
be elevating the shear
stress, then why failure
????
Because, shear strength
decrease when the
wetting front arrived at A
due to suction loss !!!!!!
must be incorporated in slope
stability analysis !!!!!
M d l i filt ti i t l
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Volumetric moisture content (cm3/cm3)
Soildepth(cm)
0.00
t = 581.7 s
0.20 0.30 0.40
5
10
15
20
25
30
35
40
45
50
55
t = 701.7 s
t = 821.7 s
t = 941.7 s
Saturated volumetric moisture
content = 0.387 cm3/cm3
0.10
Model infiltration into slope
Richard equation for moisture
flow in unsaturated media
Gravity has
negligible
effect on
infiltration
1
zhhK
zthhK
xthhC
l f i i il h i
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A needle floating on water surface.
Its weight depresses the surface,and is balanced by the surface
tension forces on the sides.
Surface tension force ?
Role of suction in soil mechanics.
Surface tension force ?
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Surface Tension and the Water Strider
Beading of rain water on awaxed surface.
Water does not adhere towax, surface tension
prevents water drops fromspreading out over the wax.
Surface tension force ?
S f t i f ?
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Surface tension force ?
Surfacetension
prevents thecoin from
sinking.
The coin isindisputablydenser than
water, so
cannot befloating due tobuoyancy
alone.
SUCTION IN SOIL MECHANICS
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SUCTION IN SOIL MECHANICS
Soil
particle
Bigger
suction force
Suction = (ua-uw) Agitation force due to
surface tension of water.
Water pressure is lower than air
pressure.
In the field air pressure is zero
atmospheric or zero kPa (gauge
pressure) and pore water pressure
is negative.
Cavitation occurs at -101.3 kPa or
-1 Atmosphere (gauge pressure).
Soil
particle
Suction Force
ua uw
Surfacetension
force
H d tl t d ?
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How sand castle stands ?
Mohr Coulomb failure envelope
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Mohr Coulomb failure envelope
Mohr-Coulomb failure criteria is concerned with
stress conditions on potential rupture planes
within the soil.
The shear stress at failure is defined by straight line
which is known as the Mohr-Coulomb failure
envelope, = c + tan .
If Mohrs circle of effective stress touches the line
envelope then failure of the soil will occur.
For sliding to occur on any plane, the shear stresshas to overcome:-
1. The frictional resistance tan which is
dependent on the effective normal stress,
acting on the plane and on the friction angle, .
2. The cohesion, c which is independent of thenormal stress.
t
sO
13
Mohr-Coulomb
failure envelope
3
1
BASIC CONCEPT OF SLOPE STABILITY ANALYSIS
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= tan
1. Determine effective stress at slice base
2. Determine internal friction angle,
3. Calculate shear stress
4. Calculate the shear force
5. Calculate disturbing moment = Multiply the force with the lever arm
Pulling force, P
W
N effective stress
F = N
In soil . = tan
N =
Law of
mechanicsW
W
EFFECTIVE STRESS CONCEPT IN
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EFFECTIVE STRESS CONCEPT IN
SLOPE STABILITY
u'
Stress sustained by the soil skeleton is known aseffective stress.
The hydrostatic stress from the water in the voids is
known as pore water pressure.
In unsaturated soils the pore water pressure isnegative w.r.t. the atmospheric pressure and this is
contributing to a higher effective stress and thus a
higher shear strength.
RESEARCH HISTORY ON THE BEHAVIOUR OF UNSATURATED SOILS
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waa uuu 'Bishop 1959
Expression for effective stress in an
attempt to link the deformation
behaviour of unsaturated soil with a
single-valued effective stress equation.Lecture in Oslo, Norway, in 1955
A parameter related to degreeof saturation
= 1 for saturated condition
= 0 for dry condition
'tan'' cTerzaghi 1936
Jenning and Burland (1962)
No unique relationship between, e and
.
question the validity of Bishop equation.
Suction , , Vol
Usually
, Vol
'tan'tan' waa uuuc Bishop, Alpan, Blight and Donald (1960)
No unique relationship between and Sr.
question the validity of Bishops effective equation
Donald, 1961
Blight, 1961
Cohesionless silt
RESEARCH HISTORY ON THE BEHAVIOUR OF UNSATURATED SOILS
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Po Shan Road Landslide 1972,
Hong Kong (Killed 67 people)
A slope failure that triggered the intensity of
research on the behaviour of unsaturated soil
Then in 1978 Fredlund, Morgenstern andWidger has introduced the shear
strength equation for unsaturated soils.
bwaa
uuuc tan'tan'
c
(ua-uw)
(-ua)
b
Model cannot explain the alternate wetting and drying
volume change behaviour in unsaturated soils.
Wheeler et al. (Geotechnique 2003)
Then Alonso et al. (1990) have introduced criticalstate model for unsaturated soils followed by
Wheeler and Sivakumar 1993 and 1995.
wawaa uuMupMq
MECHANISM OF SLOPE FAILURE
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DUE TO INFILTRATION
As rain water infiltrates into the unsaturated soil ;
The bulk unit weight of the soil will be increased.
As water filled up the void spaces, suction diminishes due to the
increase in the radius of curvature of the water meniscus between the
soil particles. The suction will completely vanish when the soil become
saturated.
When suction decreases shear strength will consequently decreases.
The decrease in shear strength will reduce the resisting factor.
The increase in the bulk unit weight and the presence of the seepage
force will increase the effective stress i.e. the disturbing factor.
As a result FOS will decrease and when the value goes lower than
unity failure will be triggered.
That is why slope failure in tropical countries
often occurs after a long period of rainfall.
SHEAR STRENGTH MODELS
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Cannot produce a good representative shear strength behaviourespecially at low stress levels (e.g. Terzaghi, 1936; Fredlund et al.,
1978; Vanapalli et al., 1996). Cannot be used to explain the collapse settlement due toalternate wetting and drying (noted by Wheeler, Sharma andBuisson, 2003).
LIMITATION OF EARLIER SHEAR STRENGTH MODELS
b
(-uw)
Mohr-Coulomb envelope(Terzaghi, 1936)
'tanwu
Open type critical state yield surface(Alonso et al., 1990 & Wheeler and
Sivakumar, 1993 and 1995)
wawaa uuMupMq
Closed type criticalstate yield surface(Tang and Graham
2002)
bwaa
uuuc tan'tan'
Extended Mohr-Coulombenvelope
(Fredlund et al., 1978)
c
(ua-uw)
(-ua)
SHEAR STRENGTH MODELS
DEFINING SHEAR STRENGTH BASE ON
S SS S C O
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a
u
wa uu
NET STRESS AND SUCTION IN EXTENDED
MOHR-COULOMB SPACE Equation for thesurface envelope
?
500
kPacs 30max
1. kPauu 152.
'min'
min tantan
ff twta uu SOIL
SHEAR STRENGTH
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0
100
200
300
400
500
0
20
40
60
80
0
100
200
300
400
500
Suction (kPa)
Net
stress (kPa)
Shear
strength
(kPa)
0' uwaauwa
uuuuu
Zone 2
Zone4
rwauwa
warwa
rwauwa
wauwa
suuuu
uuuu
uuuu
uuuuc 1max
t
tw
atw
tw
a
uN
uu
u
u
1
max1
s
rwa
warwa
rwa
wa cuu
uuuu
uu
uu
t
tw
atw
tw
a
uN
uu
u
u
1
kPauurwa
152.
kPautw 2003.
kPat 2304.5.
05.06.
kPauu uwa 500'
7.
34'min
rwauwa
warwa
rwauwa
wauwa
s
uuuu
uuuu
uuuu
uuuuc 1max
max1
s
rwa
warwa
rwa
wac
uu
uuuu
uu
uu
'min
'
min tantan
ff twta uu
4 equations &
7 parameters
t
twu
N
'
mintan
1
1
SHEAR STRENGTH
WARPED-SURFACE EXTENDED MOHR-COULOMB SHEAR
STRENGTH ENVELOPE OF THE TEST MATERIAL500
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STRENGTH ENVELOPE OF THE TEST MATERIAL
0
100
200
300
400
500
020
4060
80
0
100
200
300
400
500
Suction (kPa)
Net stress (kPa)
Shearstrength
(kPa
)
kPacs 30max
kPauu
rwa 15
5005.0 auwa uuu
kPat 230
kPau tw 200
34'min f
1
2
3
4 5
6
= 0 05 i e rate of increase of ultimate suction (u u ) w r t net stress
7
kPauuuwa 50
0'
Zone
4
Zone
3
Zone
1
Zone
2
This is a Mohr (1900)
failure criterion, which
is a non-linear shearstrength behaviour
w.r.t. effective stress.
Mohr-Coulomb failure
criterion is a linear shear
strength behaviour w.r.t.
effective stress proposedby Terzaghi (1936).