岩体渗流–应力耦合有限元计算的精细积分方法  

PRECISE INTEGRATION ALGORITHM FOR FEM SIMULATION OF COUPLED PROCESS OF SEEPAGE FIELD AND STRESS FIELD IN ROCK MASS

作　　者：何翔[1] 冯夏庭[1] 张东晓[2] 

机构地区：[1]中国科学院武汉岩土力学研究所,湖北武汉430071 [2]俄克拉荷马大学,美国俄克拉荷马73019

出　　处：《岩石力学与工程学报》2006年第10期2003-2008,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金国际合作项目(50340420444);中国科学院海外杰出学者基金项目(2005–1–1);国家杰出青年科学基金项目(50325414)

摘　　要：在Biot固结方程的基础上,引入介质渗透系数张量随应力张量的变化函数,建立能反映介质中应力场与渗流场非线性耦合作用的微分方程组,并在此基础上进行渗流–应力耦合问题的有限元求解。在有限元计算中采用精细积分方法进行时间离散,即可得到渗流–应力耦合有限元计算的解耦形式,也避免传统的时间差分法收敛速度慢、计算精度低、迭代过程易振荡的缺陷。结合工程实例,检验所提出算法的有效性。Based on the Biot consolidation equations, the governing differential equations of the nonlinear coupled process of seepage field and stress field are given by introducing the function of permeability tensor with respect to stress tensor. Finite element method is therefore given based on those equations. Precise integration algorithm is applied to time discretion in finite element computation to decouple the coupled process. With the precise integration algorithm as time discrete method, the convergent speed, the computational precision and the computational stability are improved comparing with the time differencing methods. The effectiveness and computational efficiency of the algorithm are proved by project practice.

关 键 词：岩石力学 渗流-应力耦合 精细积分 解耦 计算稳定性 收敛速度 

分 类 号：TU45[建筑科学—岩土工程]