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The study on sensitivity analysis method of slope stability based on Sweden
Arc Method
JingYu Zhang1, LiangPeng Wan 2, GuoYong Duan3
College of Hydraulic & Environmental Engineering, China Three Gorges University, Yichang, China;
Wudongde Engineering Construction Department of China Three Gorges Construction Management co., LTD, Chengdu,
College of Civil and Transportation Engineering, Hohai University, Nanjing, China.
Corresponding author: LiangPeng Wan,
In this study, an attempt has been made to analyze the impacts of different parameters (such as the bulk density, the cohesive
force, the internal angle of friction, the angle of slip surface and the pore water pressure) on the safety factor of a given slope.
The analysis was done by using the Swedish Arc method. Meanwhile, the sensitivity ratios between the different parameters
were determined by taking the partial derivatives of non-dimensional parameters. A typical case study with a uniform slope
was considered to verify the efficiency of the provided method. The results showed that, the change in the failure path had a
significant impact on the sensitivity ratio of the parameters. In the meantime, unstable slopes will have a higher value of
sensitivity ratio in the shear strength parameters (tan φ and c). The sensitivity analysis method introduced in this paper,
eliminated the crude assumptions made on the conventional approach. The advantage of this analytical method is both the
safety factor and the sensitivity ratio can be computed simultaneously, for slopes with any given slip surface. The authors of
this paper believed that, the findings of this paper will have an indispensible role to understand and capture the nature of
geotechnical problems.
Keywords: partial derivative, non-dimensional, sensitivity ratio, sensitivity analysis
tan φ: tangent value of internal friction angle
c: cohesion
S: the slide force
T: the skid resistance force
i: slice number
W: weight of slice
u: pore water pressure acting at the base of the slice
b: slice width
α: slope angle along the slip surface
tan φ': tangent value of internal friction angle under effective shear strength parameters
c': cohesion under effective shear strength parameters
Fs : stability factor
R: Sweden arc radius of slope
DBA : sensitivity of B to A
d xF : the degree of significance of factors on slope stability