Reliability-Based Slope Stability Analysis of Durgawati Earthen Dam Considering Steady and Transient State Seepage Conditions Using MARS and RVM

Abstract

In this study, reliability analysis of slope failure of Durgawati earthen embankment has been performed using two different methods specifically multivariate adaptive regression splines (MARS) and relevance vector machine (RVM). Reliability index $$(\beta )$$ is calculated using both MARS and RVM under steady-state and transient-state seepage conditions. The analyses are performed for two different sections CH 21.0 and CH 22.0 at RD 640.09 m and RD 670.57 m, respectively. The Durgawati dam is situated in Kaimur district of Bihar, India. The FOS values of Durgawati earthen dam is calculated for using modified Bishop’s method for different seepage conditions, i.e., steady state and transient state. The seepage and slope failure analysis of Durgawati earthen dam is performed using SEEP-W and SLOPE-W modules of Geo-Studio 2007 software. The FOS values are calculated for these conditions for different realizations of the material parameters $$(c,\varphi ,\gamma )$$. After that, MARS and RVM have been applied to estimate the reliability index $$(\beta )$$ for the estimated FOS values for different realizations over the body of the dam. The computed reliability index $$(\beta )$$ under different situations indicates that the performance of the dam is satisfactory.