Finite difference probabilistic slope stability analysis based on collocation-based stochastic response surface method (
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CASE STUDY
Finite difference probabilistic slope stability analysis based on collocation‑based stochastic response surface method (CSRSM) Samir Ghedjati1,2 · Mohammed Lamara2 · Youcef Houmadi3 Received: 9 December 2019 / Accepted: 15 June 2020 © Springer Nature Switzerland AG 2020
Abstract Significant damage has been observed due to the landslide along the East–West motorway section, located near Ain Bouzian–El-Harrouch region, Northeast Algeria. In this paper, a probabilistic study was carried out to assess the stability of a slope, with a total height of 60 m and varying inclination angles. Two cases were considered with and without the presence of the groundwater table. To investigate the failure probability of the slope, the collocation-based stochastic response surface method was employed. The input random parameters were the Young modulus E, cohesion C, and friction angle φ, where probabilistic system response is the factor of safety. To identify the effective contribution of each random parameter in the variability of the system response, a global sensitivity analysis based on Sobol indices was conducted. Also, a parametric study was realized to inspect the effect of input geotechnical parameter variations on the reliability of slope stability. The result showed that the slope reliability analysis is strongly influenced by the inherent variability of friction angle and hydrogeological ground conditions. Keywords Slope stability · Safety factor · Failure probability · Probabilistic method
Introduction Landslides are among the most widespread and hazardous geodynamic phenomena in the world, and it remains a critical issue challenging engineering community. The building of massive projects (motorways, dams, tunnels, etc.) generates often problems of soil movements. The failure mechanism of slopes is not restricted to a single factor but is the interplay of some factors such as the interaction of various geological, geomorphological, physical, and anthropogenic * Samir Ghedjati [email protected] Mohammed Lamara [email protected] Youcef Houmadi [email protected] 1
Faculty of natural and life sciences and earth, Seddik Ben Yahia University, Jijel, Algeria
2
Laboratoire de Génie Civil et Environnement (LGCE), University of Med Seddik Ben Yahia, Jijel, Algeria
3
Smart Structures Laboratory, Department of Civil Engineering, University Center of Ain Temouchent, Ain Temouchent, Algeria
activities [1]. With the development of economic constructions, more and more attention has been paid to the reasonable assessment of slope stability. It has been proved that due to the complexity of geological formation which causes the imprecise physical processes, the geotechnical engineering properties of soil show varied and uncertain behavior [2]. It is well recognized that the soil variability has a significant effect on the stability of slopes. However, in practice, the variability is not considered properly in routine slope stability analysis [3]. Conventional deterministic slope analysis does not e
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