A stability analysis of landslides based on random fields, part II: base circle slope

Zhou, Xiaoping; Zhu, Bin; Wong, Louis Ngai Yuen

doi:10.1007/s10064-017-1051-2

Cited by 2 publications

(1 citation statement)

References 15 publications

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“…Various statistical models have been proposed and utilized for fitting the base distribution of shear strength parameters. For instance, Low [21], Li et al [22], Ji et al [23], and Zhou et al [24] employed normal distribution to represent base distribution of shear strength parameters. Brejda et al [25], Fenton and Griffiths [26], and Jiang et al [27] considered the parameters obeying lognormal distribution because the soil properties were strictly nonnegative.…”

Section: Introductionmentioning

confidence: 99%

Optimal Estimation of Shear Strength Parameters Based on Copula Theory Coupling Information Diffusion Technique

Zhou

Zhang

et al. 2019

Advances in Civil Engineering

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In geotechnical reliability analysis, random volatility in marginal distributions of shear strength parameters has been rarely considered. Unfortunately, conventional marginal distribution models cannot characterize real probability distribution accurately, leading to considerable dispersion with incomplete probabilistic information. In this paper, an estimation methodology is proposed based on copula theory coupling information diffusion technique. Firstly, information diffusion distribution is extended to represent one-dimensional marginal distributions of shear strength parameters. Secondly, copula theory is employed to characterize the dependence structures among the parameters. Eventually, equivalent sample is yielded by information diffusion distribution that has been already established. A case study in Singapore is implemented to enunciate and validate the competence of the proposed method. The performances of the candidate copulas coupling different marginal distributions are further discussed. Results indicate that information diffusion distribution can efficiently capture the random volatility of real distributions of shear strength parameters and hold remarkable superiority in modeling marginal distributions. The equivalent sample, estimated by information diffusion technique in conjunction with Gaussian copula, has considerable consistency with original data. The proposed method can provide a reference to reliability analysis in geotechnical engineering.

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