Reliability analysis for stability of the gravity retaining wall under mountain torrent

The damage of roadbed retaining wall caused by mountain torrent is the most common disaster in geotechnical engineering. Based on the central point method, a reliability analysis model of the gravity retaining wall under mountain torrent load was established in this paper, and the performance functions of the anti-sliding and anti-overturning stability were derived. Finally, the reliability indexes of the anti-slip stability and overturning stability of the gravity retaining wall were obtained. We also analysed the sensitivity of stability reliability by changing the values of five variables which were the angle of mountain torrent load $(\varepsilon ) $, internal friction angle $(\varphi ) $, included angle between the retaining wall and the straight surface $(\theta ) $, friction angle $(\delta ) $, friction coefficient f. For the anti- sliding reliability, f, ϵ and ϕ have the greatest influences on the stability of the retaining wall. The increases of the other two variables have positive impacts on the anti-sliding stability. For the anti-overturning stability, the index coefficient increases with the increases of θ and ϵ, and decreases with the increase of ϕ until stability. The calculation method proposed in this paper considered the influence of mountain torrent, therefore it has a good practical application value in engineering.