Probabilistic and Sensitivity Analysis of Rock Slope Using Anisotropic Material Models for Planar Failures

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ORIGINAL PAPER

Probabilistic and Sensitivity Analysis of Rock Slope Using Anisotropic Material Models for Planar Failures Sharan Kumar Nagendran

. Mohd Ashraf Mohamad Ismail

Received: 22 October 2019 / Accepted: 13 October 2020 Ó Springer Nature Switzerland AG 2020

Abstract Rock anisotropy is a well-known phenomenon that occurs due to the heterogeneity of rock mass, but their influence on geotechnical design, especially in rock engineering, is often ignored. Every slope may be subjected to a certain mode of failure that can be evaluated using conventional and numerical methods. In this study, the rock slope is assessed numerically using 2D Limit Equilibrium Method (LEM) utilizing the Slide 2018 program in Rocscience software. The fundamental roles of the discontinuities present in the study area were evaluated to study the influence on slope stability. Anisotropic material model was incorporated in the LEM analysis to investigate the presence of discontinuities. A generalized anisotropy model was applied to represent the discontinuity behavior in the slope stability assessment. The relationship between the dipping angle of discontinuity and other significant parameters such as

friction angle and cohesion effect on Factor of Safety (FoS) were studied. Sensitivity and probabilistic analysis were carried out to assess the uncertainties involved in the governing parameters. Anisotropy was modeled using 10° increments of angular range to represent the transition of shear strength from weak joint to rock mass strength. The results of FoS show that rock slope without anisotropy model is stable, and analysis employing anisotropic material model shows that the slope may fail. This study presents the approach of using the anisotropic material model for rock slopes where discontinuities are present, and slope failure occurs.

S. K. Nagendran  M. A. Mohamad Ismail (&) School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, Nibong Tebal, Pulau Pinang, Malaysia e-mail: [email protected]

1 Introduction

S. K. Nagendran e-mail: [email protected]; [email protected] S. K. Nagendran Public Works Department (JKR), Centre of Excellence for Engineering and Technology (CREaTE), Alor Gajah, Melaka, Malaysia

Keywords Limit equilibrium method  Slope stability analysis  Anisotropy  Sensitivity analysis  Probabilistic analysis

Slope failures are very common in nature, especially in hilly areas, yet the slope behaviour is not completely understood. The occurrence of slope failures has witnessed a gradual increase due to unplanned infrastructure development and human interventions. Even slight instability may result in slope failures and subsequently cause loss of life and economy (Vatanpour et al. 2014; Chang and Konietzky 2018; Qi et al.

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Geotech Geol Eng

2018). Movement across slopes will only occur when the driving force is greater than the resisting force, where the driving force pulls the mass downwards. Slope stability with a plane mode of