含层面岩体初始地应力场的应力函数解析法  

Stress function analytic method for initial stress fields of rock masses with strata interfaces

作　　者：吴锦亮[1] 陈胜宏[1] 何吉[1] 

机构地区：[1]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072

出　　处：《中南大学学报（自然科学版）》2014年第11期3922-3929,共8页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51079109)~~

摘　　要：从应力函数解析法出发,考虑初始地应力场在岩层分界面处的应力不连续性,采用分片四次多项式应力函数对含层面岩体的初始地应力场进行分区拟合。针对多项式中的待定系数,引入地应力测点,并考虑地表面和岩层分界面处的应力边界条件,建立矛盾方程组,利用最小二乘法进行求解。为验证其合理性,假设某简化岩质边坡的边界条件和力学参数均为已知,利用有限单元法计算出"真实初始地应力场";然后,取每个片区内若干节点处的应力作为实测值;最后,应用应力函数解析法求得"反演初始地应力场"。研究结果表明:在弹性范围内,使用该方法可快速有效地反演含层面岩体的三维初始地应力场。Based on stress function analytic method, piecewise quartic polynomial functions were established to analyze three dimensional initial stress fields of rock masses with strata interfaces in elastic range. Inconsistent equations were set up with measuring points and stress boundary conditions, and solved with the least square algorithm to determine the unknown parameters in the equations. A case study of a simplified slope was conducted to validate the method＇s rationality. The slope was divided into four regions and each of them had some measuring points and some stress boundary conditions given. The slope ＂initial stress field＂ was analyzed with the proposed method. The method＇s effectiveness and speediness is proved by comparing the analyzed results and the ＂real＂ initial stress field.

关 键 词：初始地应力场 应力不连续性 分区拟合 

分 类 号：P553[天文地球—构造地质学]