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DEWATERING -AN EFFECTIVE TOOL FOR
SLOPE STABILIZATION

- Rathin Biswas

Associate Manager, Rock Mechanics Cell,
Rampura Agucha Mines, Hindustan Zinc Ltd.
Abstract
Stabilizing a slope is very critical issue for geotechnical engineering. Two of the main four Slope stabilization parameters viz.
Rock mass Characteristics and stress on slope are the inherent parameters for a particular slope. Bya limit equilibrium analysis it
can be observed that shallower slope cost a lot, thus De-watering is the best way for slope stabilization.
INTRODUCTION
Slope stability is the most safety concern for a slope (Pit wall of open cast mines, Waste Dump slope, and Tailings Dump slope).
Instability cost the man, machinery and money.
It depends on the mechanical properties and the design parameters of the slope. The Rock (material) properties, inclination of
slope, ground water condition and stress on slope are the main four parameters. Material properties cannot alter for a particular
material and stress on it is also not changeable for a particular operation. The things that can be altered are inclination of the slope
and ground water condition. For shallower inclination of a slope (Pit wall of open cast mine, Waste dump slope, Tailings Dump
slope) a lot of cost is involved on it and for alteration of any slope inclination, permission from the Regulatory body is required.

LIMIT EQUILIBRIUM ANALYSIS
To analyze the fact one Limit equilibrium analyses was conducted on a model of the slope at the proposed over all Angle of38", for
a depth of 250 m. Two types of Mohr Coulomb Rock Zone were considered for the analysis. Zone-l (less competent rock
material) is considered for first 30 m from the surface and other rock body deemed comparable more competent (Zone -2).

A Limit equilibrium analysis was conducted to determine the Factor of Safety against shear failure in a slope. When the Factor of
Safety of a slope is 1, its stability is at border line. A Factor of Safety of 1.2(minimum) is generally regarded as acceptable for
short-ternl stability. For long-ternl stability. which is what is required for waste dumps, a Factor of Safety of 1.5 (minimum) is
universally accepted as the standard.
The Slope Stability analysis was conducted using the industry standard limit equilibrium software Siope/W (by Geo-Slope
International, Canada). Static analysis performed for this analysis.
Limit equilibrium analysis (Slope/W) determines the Factor of Safety against shear failure in a slope. Four different methods,
namely- Ordinary or Fellenius method, Bishop's method, Janbu Method and Morgenstern-Price (M-P) method are considered for
the ilnalysis each of the options. The ordinary or Fellenius method ignores all interslice forces and satisfies only moment
equilibrium,Bishop's methorl includes interslice normal force but ignore the interslice shear forces, Janbu's method is similar to
Bishop's method only difference is that the Janbu's method satisfies only horizontal force equilibrium as opposed to moment
equilibrium and Morgenstern-Price (M-P) method is mathematically more rigorous formulations, which include all interslice
forces and satisfYall equations of.statics. Acomparison ofthese four methods is tabulated on the table 1.
Table -1: Interstice force characteristics, relationships and equations of statics Satisfied:
Method

Moment
Equilibri
um

Force
Equilibri
urn

Interslice
Normal
(E)

Interslice
Shear (X)

Inclination of X/E
Result and X-E
Relationship

Ordinary

Yes

No

No

No

No Interslice forces

Bishop's

Yes

No

Yes

No

Horizontal

Janbu's

No

Yes

Yes

No

Horizontal

Morgenstern-Price

Yes

Yes

Yes

Yes

Variable; User function

"""~'''''''''~''''''''''~(''''''''~''''''''''~'''''''''''~c''''''''~c'''''''~'c~
22nd MINES

SAFETY

WEEK 2008
>-

~

Input Parameters
The rock mass strength considered for all the Options is as in the table 2.
Table -2: Rock mass characteristic
-------

--~----

Unit
Weight
(KN/m3)

Rock mass
Cohesion (KPa)

Rock mass
Friction Angle (°)

Zone 1- (down to 30 m from
the surface)

25

250

25

Zone 2- (Below 30 m from the
surface)
--------

27

280

30

Zone

_J_-

------

Three different options considered for this analysis. Option I: No piezometeric line i.e. no water present in the rock mass
(Ideal condition) (Figure Ia); Option 2: Piezometric plane with in the Slip surface (Nonnal Condition) (Figure 2a):
Option 3: Piezometric Plane at lower level of slip surface (Desired Condition) (Figure 3a).
Result
Limit equilibrium analysis carried out for the three conditions. The results are stated in table 3 and the contours are shown
on Figures Jb, 2b & 3b respectively.
Table 3: Minimum Factor of Safety for different Conditions

Ideal condition
Method
Ordinary
Bishop
Janbu

M-P

Normal Condition

Desired Condition

Moment
1.251
1.312

Force
-

Moment
0.999
1.117

Force

-

1.241

-

1.304

1.299

1.109

1.014
1.111

-

Moment
1.192
1.315

Force

-

1.193

1.308

1.309

-

COST ANAL YS[S :
From a general cost calculation it is found that for one degree shallower of the over all slope angle approximately Rs IS Crore
additional cost encountered for a Slope having I Km length (taking an excavation cost Rs 100 per m3). To achieve the same
stability the Over all Slope angle for Normal Condition may be shallower by 4 degree to get same stability of the Ideal Slope (for
this condition).
But the same stability can be achieved by lowering ground water table by approximately 60m. [t is assumed that three sets of sub
horizontal hole of each IOOmsection @IOOm length and one set of submersible pump at each 100m section of 200m depth may be
able to lower down 'the water table (a normal hydrological condition) and from a general cost calculation it is found that
approximately Rs 5.0Lacs may be required for the dewatering operation and the water may be used for other purpose.

CONCLUSION
From the analysis it can easily found that the dewatering have a clear-cut edge over the shallowing ofthe slope angle thus it can be
concluded that dewatering is the cost effective tool for slope stabilization and that can be done by pumping out the water from
upper levelor by means of sub horizontal hole at lower level ofthe slope.
REFERENCES
KrahnJohn 2004 Stability Modeling with SLOPE/W, Oeo-Slope [nternational Ltd, Canada
OeoStudio Tutorials 2004, Oeo-Slope International Ltd, Canada
Hoek E. & Bray 1.W. 1981,Rock Slope Engineering; Institute of Mining and Metallurgy.
~, ~

(H"~o{H"~'(H"~'(H'

~o{H'

~'(H"~'<H"~'<>-

22nd MINES SAFETY WEEK 2008
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~'C>--<>'~C>--<>'~C>--<>~C>--<>'~'C>--<

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IY<4

!(,1.

-50
-70

11)(
-30

GJ -13('

0

.

-50

70

2

171)

.

..c:

.110'.

~

-19('
-21(1
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-;;,/
t;~1

-80

a.

1~(t

-bO
-170

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I I I I I I I I I I I I I~.~ ..'

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120 1'~(' 20('

240

2"i)

., I I I I I

.)20 -,.,1) 400 44('

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-1~'0

5,~')

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-2.j,'.;
-2,;,)1
O~~Wffl

Distance

I~

lW M

~

~

~

~

~

~

~

~

~

Distance

Figure: 1b: Contour of Ideal Slope

Figure: 1a: Design Ideal Condition

.-

1 108

10
-I(j
-.~O
-5l)

18

-70
.£:

-8(1

15.

-11(1

r3

-1.'-0
-15(1
-170
-18('

2

-210

Distance
Figure: 2a: Design Normal

Distance

Slope

Figure: 2b: Contour Normal

Slope

.-

 30,:

-50
-70
.£:

0..
Q)

0

3,

-90
-110
-130
-150
-70
-190
-110
-234;

-250 I
020406080

120 160 20') 240 280 310 3')

40(' 440 .

Distance

Distance

Figure: 3a: Design Desired Slope
c)~

c>--<).~.c>--<).~

C>--<)
~

Figure: 3b: Contour Desired Slope
C>--<)

~

~
C>--<) ~
c>--<>-~'c~
22nd MINES SAFETY WEEK 2008

C>--<)

~

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DEWATERING-AN EFFECTIVE TOOL FOR SLOPE STABILIZATION

  • 1. .... ,.~., ,~, ,~, ,~, ,,~., ,~,....... DEWATERING -AN EFFECTIVE TOOL FOR SLOPE STABILIZATION - Rathin Biswas Associate Manager, Rock Mechanics Cell, Rampura Agucha Mines, Hindustan Zinc Ltd. Abstract Stabilizing a slope is very critical issue for geotechnical engineering. Two of the main four Slope stabilization parameters viz. Rock mass Characteristics and stress on slope are the inherent parameters for a particular slope. Bya limit equilibrium analysis it can be observed that shallower slope cost a lot, thus De-watering is the best way for slope stabilization. INTRODUCTION Slope stability is the most safety concern for a slope (Pit wall of open cast mines, Waste Dump slope, and Tailings Dump slope). Instability cost the man, machinery and money. It depends on the mechanical properties and the design parameters of the slope. The Rock (material) properties, inclination of slope, ground water condition and stress on slope are the main four parameters. Material properties cannot alter for a particular material and stress on it is also not changeable for a particular operation. The things that can be altered are inclination of the slope and ground water condition. For shallower inclination of a slope (Pit wall of open cast mine, Waste dump slope, Tailings Dump slope) a lot of cost is involved on it and for alteration of any slope inclination, permission from the Regulatory body is required. LIMIT EQUILIBRIUM ANALYSIS To analyze the fact one Limit equilibrium analyses was conducted on a model of the slope at the proposed over all Angle of38", for a depth of 250 m. Two types of Mohr Coulomb Rock Zone were considered for the analysis. Zone-l (less competent rock material) is considered for first 30 m from the surface and other rock body deemed comparable more competent (Zone -2). A Limit equilibrium analysis was conducted to determine the Factor of Safety against shear failure in a slope. When the Factor of Safety of a slope is 1, its stability is at border line. A Factor of Safety of 1.2(minimum) is generally regarded as acceptable for short-ternl stability. For long-ternl stability. which is what is required for waste dumps, a Factor of Safety of 1.5 (minimum) is universally accepted as the standard. The Slope Stability analysis was conducted using the industry standard limit equilibrium software Siope/W (by Geo-Slope International, Canada). Static analysis performed for this analysis. Limit equilibrium analysis (Slope/W) determines the Factor of Safety against shear failure in a slope. Four different methods, namely- Ordinary or Fellenius method, Bishop's method, Janbu Method and Morgenstern-Price (M-P) method are considered for the ilnalysis each of the options. The ordinary or Fellenius method ignores all interslice forces and satisfies only moment equilibrium,Bishop's methorl includes interslice normal force but ignore the interslice shear forces, Janbu's method is similar to Bishop's method only difference is that the Janbu's method satisfies only horizontal force equilibrium as opposed to moment equilibrium and Morgenstern-Price (M-P) method is mathematically more rigorous formulations, which include all interslice forces and satisfYall equations of.statics. Acomparison ofthese four methods is tabulated on the table 1. Table -1: Interstice force characteristics, relationships and equations of statics Satisfied: Method Moment Equilibri um Force Equilibri urn Interslice Normal (E) Interslice Shear (X) Inclination of X/E Result and X-E Relationship Ordinary Yes No No No No Interslice forces Bishop's Yes No Yes No Horizontal Janbu's No Yes Yes No Horizontal Morgenstern-Price Yes Yes Yes Yes Variable; User function """~'''''''''~''''''''''~(''''''''~''''''''''~'''''''''''~c''''''''~c'''''''~'c~ 22nd MINES SAFETY WEEK 2008
  • 2. >- ~ Input Parameters The rock mass strength considered for all the Options is as in the table 2. Table -2: Rock mass characteristic ------- --~---- Unit Weight (KN/m3) Rock mass Cohesion (KPa) Rock mass Friction Angle (°) Zone 1- (down to 30 m from the surface) 25 250 25 Zone 2- (Below 30 m from the surface) -------- 27 280 30 Zone _J_- ------ Three different options considered for this analysis. Option I: No piezometeric line i.e. no water present in the rock mass (Ideal condition) (Figure Ia); Option 2: Piezometric plane with in the Slip surface (Nonnal Condition) (Figure 2a): Option 3: Piezometric Plane at lower level of slip surface (Desired Condition) (Figure 3a). Result Limit equilibrium analysis carried out for the three conditions. The results are stated in table 3 and the contours are shown on Figures Jb, 2b & 3b respectively. Table 3: Minimum Factor of Safety for different Conditions Ideal condition Method Ordinary Bishop Janbu M-P Normal Condition Desired Condition Moment 1.251 1.312 Force - Moment 0.999 1.117 Force - 1.241 - 1.304 1.299 1.109 1.014 1.111 - Moment 1.192 1.315 Force - 1.193 1.308 1.309 - COST ANAL YS[S : From a general cost calculation it is found that for one degree shallower of the over all slope angle approximately Rs IS Crore additional cost encountered for a Slope having I Km length (taking an excavation cost Rs 100 per m3). To achieve the same stability the Over all Slope angle for Normal Condition may be shallower by 4 degree to get same stability of the Ideal Slope (for this condition). But the same stability can be achieved by lowering ground water table by approximately 60m. [t is assumed that three sets of sub horizontal hole of each IOOmsection @IOOm length and one set of submersible pump at each 100m section of 200m depth may be able to lower down 'the water table (a normal hydrological condition) and from a general cost calculation it is found that approximately Rs 5.0Lacs may be required for the dewatering operation and the water may be used for other purpose. CONCLUSION From the analysis it can easily found that the dewatering have a clear-cut edge over the shallowing ofthe slope angle thus it can be concluded that dewatering is the cost effective tool for slope stabilization and that can be done by pumping out the water from upper levelor by means of sub horizontal hole at lower level ofthe slope. REFERENCES KrahnJohn 2004 Stability Modeling with SLOPE/W, Oeo-Slope [nternational Ltd, Canada OeoStudio Tutorials 2004, Oeo-Slope International Ltd, Canada Hoek E. & Bray 1.W. 1981,Rock Slope Engineering; Institute of Mining and Metallurgy. ~, ~ (H"~o{H"~'(H"~'(H' ~o{H' ~'(H"~'<H"~'<>- 22nd MINES SAFETY WEEK 2008
  • 3. ------- ... >--<>'~'C>--<) ~'C>--<>'~C>--<>'~C>--<>~C>--<>'~'C>--< .- IY<4 !(,1. -50 -70 11)( -30 GJ -13(' 0 . -50 70 2 171) . ..c: .110'. ~ -19(' -21(1 - "'} -;;,/ t;~1 -80 a. 1~(t -bO -170 .. I I I I I I I I I I I I I~.~ ..' ,) 204060':(' 120 1'~(' 20(' 240 2"i) ., I I I I I .)20 -,.,1) 400 44(' .Leo 520 -1~'0 5,~') -21') -2.j,'.; -2,;,)1 O~~Wffl Distance I~ lW M ~ ~ ~ ~ ~ ~ ~ ~ ~ Distance Figure: 1b: Contour of Ideal Slope Figure: 1a: Design Ideal Condition .- 1 108 10 -I(j -.~O -5l) 18 -70 .£: -8(1 15. -11(1 r3 -1.'-0 -15(1 -170 -18(' 2 -210 Distance Figure: 2a: Design Normal Distance Slope Figure: 2b: Contour Normal Slope .- 30,: -50 -70 .£: 0.. Q) 0 3, -90 -110 -130 -150 -70 -190 -110 -234; -250 I 020406080 120 160 20') 240 280 310 3') 40(' 440 . Distance Distance Figure: 3a: Design Desired Slope c)~ c>--<).~.c>--<).~ C>--<) ~ Figure: 3b: Contour Desired Slope C>--<) ~ ~ C>--<) ~ c>--<>-~'c~ 22nd MINES SAFETY WEEK 2008 C>--<) ~