铁道标准设计2025，Vol.69Issue(6)：23-31,38,10.DOI:10.13238/j.issn.1004-2954.202307120004
基于地形应力系数的河谷区域应力表达方法研究
Study on Stress Representation Method for Valley Regions Based on Topographic Stress Coefficient
摘要
Abstract
The distribution pattern of in-situ stress in valley regions serves as the foundation for slope stability research,and is a critical factor controlling slope failure modes and patterns.To investigate the distribution characteristics and representation methods of in-situ stress in valley regions,measured data from 15 existing stress boreholes in valley slopes were collected.The distribution and zoning characteristics of the valley stress field were analyzed.Combined with the geological evolution of the valley region,a method for representing valley stress was proposed.Based on this,three dimensionless quantities were defined:topographic stress coefficient,slope height-to-valley width ratio,and burial depth-to-slope height ratio.A three-point representation method for valley stress based on topographic stress coefficient was proposed.Numerical simulations were subsequently carried out to investigate the influencing factors of valley stress under 25 research schemes,and a fitting solution method for the representation of valley stress based on topographic stress coefficient was developed.Finally,comparative validations were conducted using engineering cases.The research results showed that:(1)the valley stress representation method based on topographic stress coefficient could effectively identify the stress distribution patterns and zoning characteristics,and enabled rapid estimation of stress magnitudes.When the slope height-to-valley width ratio was 4 and the slope angle was 80°,the maximum topographic stress coefficient was approximately 0.91,the burial depth-to-slope height ratio was about 0.59,and the corresponding stress magnitude was approximately 1.91 times the gravitational stress.(2)When the slope height-to-valley width ratio remained constant,a trigonometric relationship existed between topographic stress coefficient and slope angle.Specifically,the slope of the rising segments in the stress reduction and increase zones was linearly related to the cotangent of the slope angle.The maximum topographic stress coefficient in the stress increase zone showed a linear relationship with the sine of the slope angle.The burial depth-to-slope height ratio corresponding to the maximum topographic stress coefficient showed a linear relationship with the cosine of the slope angle.In addition,the topographic stress coefficient in the descending segment of the stress increase zone was exponentially related to the burial depth-to-slope height ratio.关键词
河谷应力/地形应力系数/应力表达方法/数值模拟/拟合求解Key words
valley stress/topographic stress coefficient/stress representation method/numerical simulation/fitting solution分类
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张占荣,崔岚,冷先伦,王川,杨闯,李时亮..基于地形应力系数的河谷区域应力表达方法研究[J].铁道标准设计,2025,69(6):23-31,38,10.基金项目
国家自然科学基金项目面上项目(52279118) （52279118）
中铁第四勘察设计院集团有限公司科研课题(2020K043) （2020K043）
