CLIFFS launch meeting
26 October 2005, Holywell Park, Loughborough University
Response of Slope Stability to Vegetation changes due to Climate Change
John Greenwood
CLIFFS launch meeting 26 October 2005, Holywell Park, Loughborough - - PowerPoint PPT Presentation
CLIFFS launch meeting 26 October 2005, Holywell Park, Loughborough University Response of Slope Stability to Vegetation changes due to Climate Change John Greenwood Vegetation Recent research and demonstration projects Stability
26 October 2005, Holywell Park, Loughborough University
John Greenwood
Dune Grasses – Deep roots
Diameter at failure point Bark Core F Clamp
f f1
dc d dfc df Diameter at clamp Ground Surface Reference Surface e Failure Points dfc1, df1 Root
0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.50 50 100 150 200 Displacement (mm) Force (KN)
Deeper Slip Less influence
soil 1 γ1 c′1 φ′1 soil 2 γ2 c′2 φ′2 α U1 S W
τ
U2 u X2′ E2′ X1′ E1′ N′
a –conventional approach using total interslice forces (Barnes 1995) b – Revised approach using effective interslice forces and interslice water forces (Greenwood 1987,1989)
1 2
By appropriate assumptions, the General equation may be adapted to include an estimation of the horizontal interslice force based on the coefficient of horizontal earth pressure, ‘K’ :- F = ( ) ( )
[ ] ( )
∝ ∑ ∝ − + ∝ − − − ∝ + ∑ sin ' tan sin tan sin cos '
1 2
W ub W α K U U u W c φ
soil 1 γ1 c′1 φ′1 soil 2 γ2 c′2 φ′2 + c′v α U1 +∆U2 S W
τ
U2 +∆U2 u +∆uv X2′ E2′ X1′ E1′ N′ Dw Wv β X2′ T θ ∆hw
The General equation is adapted for inclusion of vegetation effects, reinforcement and hydrological changes as follows:- F =
( ) ( ) [ ]
] cos ) cos( sin ) [( ' tan sin ) sin( sin ) ( ) ( ) ( cos ) ( ) ' (
1 1 2 2
θ β α φ θ β α T D W W T D U U U U u u W W c c
w v w v v v v v
− − + ∝ + ∑ + − − ∝ ∆ + − ∆ + − ∆ + − ∝ + + ′ + ∑
∝ ∑ ∝ − − − ∝ + ∑ = sin ' tan sin cos '
1 2
W U U u W c F φ
SLIP4EX - SLOPE STABILITY ANALYSIS (NTU Oct 2002)
Sheet 1 - Comparison of Methods
(See sheet 2, for effects of reinforcement, vegetation and hydrological changes) PROJECT NTU DESCRIPTION OF ANALYSIS: reinforced example Date: Oct-02 Enter slice Data Height 1 Unit wt 1 Height 2 Unit wt 2 Height 3 Unit wt 3 Breadth Alpha Cohesion* Phi' hw1 hw2 hw K Slice Nr m kN/m^3 m kN/m^3 m kN/m^3 m degrees kN/m^2 degrees m m m 1 1.2 20 4.2
8 25 1.44 0.72 0.2 2 5.4 20 4.8
8 25 1.44 5.9 3.67 0.2 3 8.1 20 4.8 16 8 25 5.9 4 4.95 0.2 4 9 20 4.8 36 8 25 4 5.9 4.95 0.5 5 4.8 20 4 57 8 25 5.9 2.95 0.5 6 7 8 9 10 11 12 13 14 15 Calculated forces on slices Total Resistance - Moment equilibrium Total Resistance - Horizontal force equilibrium General General Simple Simple Swedish Bishop General General Simple Simple Swedish W U1 U2 u Dist force cohesive res K' K' K ' K' slice kN kN kN kN/m2 kN kN kN kN kN kN kN kN kN kN kN kN kN 1 100.80 0.00 10.37 7.20
35.76 66.57 67.39 66.67 67.49 64.92 84.26 70.85 71.72 70.95 71.83 69.09 2 518.40 10.37 174.05 36.70
38.45 201.59 201.68 197.82 197.91 197.60 202.94 201.87 201.96 198.09 198.18 197.87 3 777.60 174.05 80.00 49.50 214.34 39.95 285.33 289.31 282.00 285.98 273.24 268.08 296.83 300.97 293.36 297.50 284.25 4 864.00 80.00 174.05 49.50 507.85 47.47 210.68 273.05 283.77 346.14 236.46 309.57 260.42 337.51 350.77 427.86 292.28 5 384.00 174.05 0.00 29.50 322.05 58.75 123.32 203.41 126.31 206.40 55.25 170.80 226.42 373.48 231.92 378.97 101.44 6 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 8 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 9 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 total 982.62 220.38 887.49 1034.85 956.58 1103.93 827.47 1035.66 1056.38 1285.63 1145.09 1374.34 944.93 Factors of Safety (no reinforcement or vegetation) Moment equilibrium Force equilibrium Fm Ff Greenwood General 0.90 0.77 Greenwood General (K as input) 1.05 0.93 Greenwood Simple 0.97 0.83 Greenwood Simple (K as input) 1.12 1.00 Swedish 0.84 0.69 Bishop 1.05 Janbu (fo =1.05) 0.95 Bishop iteration Janbu Iteration F initial F input F calc F input F calc 1 1.06 1.05 0.95 0.95
Stability Spreadsheet
Factors of Safety (no reinforcement or vegetation) Moment equilibrium Force equilibrium Fm Ff Greenwood General 0.90 0.77 Greenwood General (K as input) 1.05 0.93 Greenwood Simple 0.97 0.83 Greenwood Simple (K as input) 1.12 1.00 Swedish 0.84 0.69 Bishop 1.05 Janbu (fo =1.05) 0.95 Bishop iteration Janbu Iteration F initial F input F calc F input F calc 1 1.06 1.05 0.95 0.95
Root Force Root direction Additional cohesion Change in water table Mass of Vegetation W ind force W ind direction T Theta c'v delta hw1 delta hw2 delta hw Wv D Beta
slice
kN (/m) deg kN/m2 m m m kN (/m) kN (/m) deg. 1 0.95 45
2 5 45
3 0.6 45
Factors of Safety with Reinforcement ,Vegetation and hydraulic changes included Fm Greenwood General No reinforcement/Veg 0.90 with reinf /veg /water as input 1.05 Greenwood General (K as input) No reinforcement/Veg 1.05 With reinf /veg /water as input 1.22 Greenwood Simple No reinforcement/veg 0.97 With reinf/veg/water as input 1.13 Swedish No reinforcement/veg 0.84 With reinf/veg/water as input 0.98
depth
depth but unlikely below 2 –3m depth (seasonal changes likely to
the longer term, again seasonal and geological effects likely to override
penetrate below 1.5 –2m
Factor of Safety Deep circle Wedge Bishop 1.05 1.17 Swedish 0.72 0.86 General 0.83 0.94 General (with K=1.5) 0.96 0.94
slice 1 slice 2 slice 3 slice 4 slice 5 slice 6 c′ = 1.5 kN/m2 φ′ = 22 deg γ = 20 kN/m3 K = 0 K = 1.5
For Slice 1 of DEEP CIRCLE
Method
Restoring force (kN) Disturbing force (kN) Bishop (?water surface) 54.10
Swedish (water parallel to slip) 28.88
Simple (water horizontal) 33.77
General (actual water surface) 37.70
General (actual water surface,K=1.5) (50.89)
Water conditions at toe critical tostability – Vegetation and drainage will help
slice 1 slice 2 slice 3 slice 4 slice 5 slice 6 c′ = 1.5 kN/m2 φ′ = 22 deg γ = 20 kN/m3 K = 0 K = 1.5
For Slice 1 of Wedge
Method
Restoring force (kN) Disturbing force (kN) Bishop (?water surface) 14.6 1.68 Swedish (water parallel to slip) 14.8 1.68 Simple (water horizontal) 14.8 1.68 General (actual water surface) 14.6 1.68 General (actual water surface,K=1.5) 14.6 1.68 Slice 1 is not sensitive to water conditions because α is very small
slice 1 slice 2 slice 3 slice 4 slice 5 slice 6 c′ = 1.5 kN/m2 φ′ = 22 deg γ = 20 kN/m3 K = 0 K = 1.5
For Slice 1 of Wedge Method Restoring force (kN) Disturbing force (kN) Bishop (?water surface) 14.6 1.68 Swedish (water parallel to slip) 14.8 1.68 Simple (water horizontal) 14.8 1.68 General (actual water surface) 14.6 1.68 General (actual water surface,K=1.5) 14.6 1.68 Slice 1 is not sensitive to water conditions because α is very small
slice 1 slice 2 slice 3 slice 4 slice 5 slice 6 c′ = 1.5 kN/m2 φ′ = 22 deg γ = 20 kN/m3 K = 0 K = 1.5
But - Interesting to note that slice 1 could become unstable in its own right due to the water force U2 on the right hand side, ie, U2 = γ γ γ γwhw2
2 / 2 If hw =1.6m, U2 =12.8 kN
Total disturbing force = 14.5 kN (--very close to local failure of slice 1! – could lead to progressive failure)
slice 1 U2
Concerns re climate change
References
Greenwood, J.R. (1987). Effective Stress Stability Analysis. Discussion in 9th European Conference on Soil mechanics and Foundations, Dublin Sept 1987. Vol 3, post conference proceedings, Balkema 1989, pp.1082-1083. Morrison, I.M. and Greenwood, J.R. (1989). Assumptions in simplified slope stability analysis by the method of slices. Geotechnique 39, No 3, pp.503-509. Greenwood, J.R., Vickers, A.W., Morgan, R.P.C., Coppin, N.J. and Norris, J.E. (2001). Bioengineering The Longham Wood Cutting field trial. CIRIA Project Report 81, London Greenwood, J.R., Norris, J.E., Wint, J. and Barker, D.H. (2003). Bioengineering and the transportation
September 2003. Thomas Telford, pp.205-220. Greenwood, J.R., Norris, J.E. and Wint, J. (2004). Assessing the contribution of vegetation to slope
Greenwood, J.R. (2004a). SLIP4EX – program for routine slope stability analysis to include the effects of vegetation, reinforcement and hydrological changes. Int. Conf. on Eco-Engineering: “The use of vegetation to improve slope stability”. Thessaloniki, Sept 2004. (Accepted by Geological and Geotechnical Engineering)