Upper Bound Limit Stability Analysis for Soil Slope with Nonuniform Multiparameter Distribution Based on Discrete Algorithm

Abstract

Slope stability analysis is a core issue in geotechnical engineering. This paper proposes a method of upper bound limit stability analysis for a slope with multiparameter coordinated variation based on the comprehensive consideration of the nonuniform distribution of slope soil parameters. This method starts from the perspective of energy balance, establishes a slope failure mechanism which meets velocity separation requirements, deduces its calculation formula for external force power and internal energy dissipation power, develops a cycle program for the most dangerous slip surface searching and stability coefficient calculation through computer programming technology, and finally forms a calculation method of upper bound limit stability analysis for the soil slope with nonuniform multiparameter distribution. At the same time, this method takes a dump slope in an open-pit mine as the engineering background, considers the nonuniformity of density, cohesion, and internal friction angle of the slope soil under subsidence, applies upper bound limit analysis to analyze the slope stability, and evaluates the accuracy of analysis results by using the residual thrust method. The results show that upper bound limit analysis has highly accuracy in stability coefficient calculation; compared with the residual thrust method, the stability coefficient calculation result by upper bound limit analysis is a strict upper bound solution, and the calculation error is easy to be estimated and eliminated. Simultaneously, the most dangerous slip surface obtained by upper bound limit analysis can fully satisfy the velocity separation requirement and has a greater engineering reference value.

Research on Upper Bound Limit Stability Analysis of Multi-Step High Steep Slope

“…Upper bound limit analysis assumes that the slope soil is rigid material and the velocity of soil inside and outside the slope slip surface is continuous. Obviously, the velocity discontinuity only occurs on the slip surface, the same with combined logarithmic spiral [34][35][36]. Terefore, internal energy dissipation power in failure area of high steep slope concentrates on intersecting parts of m logarithmic spirals.…”

Research on Landslide Warning Model Establishment and Disaster Space‐Time Evolution Analysis

“…Japanese scholar Saito proposed an empirical formula for landslide warning, creating a precedent for landslide warning research [6]. In the next few decades, scholars from various countries have successively proposed dozens of landslide warning models and have experienced development stages such as qualitative landslide warning, quantitative landslide warning, and comprehensive landslide warning [7][8][9][10][11]. Qualitative landslide warning established the slope catastrophic evolution model based on engineering experience, and then analyzed catastrophic stage and stability state of the slope [12].…”