地质科技通报2024,Vol.43Issue(6) :162-170.DOI:10.19509/j.cnki.dzkq.tb20240183

基于随机场理论的土石混合体边坡稳定性

Stability of soil-rock mixture slopes based on random field theory

边宏光 王顺 马海善 辛鹏
地质科技通报2024,Vol.43Issue(6) :162-170.DOI:10.19509/j.cnki.dzkq.tb20240183

基于随机场理论的土石混合体边坡稳定性

Stability of soil-rock mixture slopes based on random field theory

边宏光 1王顺 1马海善 2辛鹏3
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作者信息

  • 1. 武汉大学水资源工程与调度全国重点实验室,武汉 430072;武汉大学水利水电学院,武汉 430072
  • 2. 青海省环境地质勘查局,西宁 810001
  • 3. 中国地质科学院地质力学研究所,北京 100081
  • 折叠

摘要

土石混合体边坡在我国分布范围广,且其材料组成复杂,受到了众多学者的关注.为了科学合理地评估土体参数的空间变异性对土石混合体边坡稳定性的影响,基于随机场理论,选取有效抗剪强度参数黏聚力c和内摩擦角φ作为随机变量,采用局部平均法模拟随机场,在MATLAB中实现随机场参数生成,在考虑土石混合体块石真实形状和块石含量基础上,采用Python语言脚本方式,将随机场参数映射到有限元软件中的土石混合体边坡,应用强度折减法计算边坡稳定安全系数.计算结果显示,土石混合体边坡的稳定安全系数符合正态分布,随着土石混合体边坡块石含量增加,边坡稳定安全系数的均值从1.005增长至1.095,边坡也由浅层破坏逐渐发展为深层破坏.块石质量分数均为35%时,块石粒径较大土石混合体边坡稳定性安全系数为1.334,块石粒径较小土石混合体边坡稳定安全系数为1.064.相比于确定性计算结果,考虑土体参数空间变异性的稳定安全系数更高.因此,在进行土石混合体边坡稳定性分析时,应充分考虑土体有效抗剪强度参数空间变异性,避免出现设计过于保守的情况.

Abstract

The extensive distribution and complex material composition of soil-rock mixture slopes in China have at-tracted significant attention from scholars.[Objective]This study aims to scientifically and rationally assess the impact of the spatial variability of soil parameters on the stability of soil-rock mixture slopes.[Methods]Based on the random field theory,the effective shear strength parameters cohesion c and internal friction angle φ are selected as random variables.The local averaging method is used to simulate the random field,with random field parameter generation conducted in MATLAB.Python scripts are employed to map the random field parameters to the soil-rock mixture slope via finite element software,accounting for the actual shape and content of block rocks in the soil-rock mixture.The strength reduction method is then applied to calculate the slope stability safety factor.[Results]The results reveal that the stability safety factor of soil-rock mixture slopes follows a normal distribution.As the block stone content increases,the mean value of the stability safety factor rises from 1.005 to 1.095,reflecting a transi-tion from shallow to deep failure.For block stone content of 35%,the stability safety factor reaches 1.334 for larger block stones and 1.064 for smaller ones.Compared to deterministic calculation results,incorporating the spatial variability of the soil parameters yields higher stability safety factor.[Conclusion]Therefore,in soil-rock mixture slope stability analyses,the spatial variability of effective shear strength parameters must be fully considered to pre-vent overly conservative designs.

关键词

土石混合体/随机场理论/边坡稳定性分析/有限元法/强度折减法

Key words

soil-rock mixture/random field theory/slope stability analysis/finite element method/strength reduc-tion method

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出版年

2024
地质科技通报
中国地质大学(武汉)

地质科技通报

CSTPCDCSCD北大核心
影响因子:1.018
ISSN:2096-8523
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