岩体渗透系数反演的数值方法及其适定性

Numerical Methods and Posedness of the Inverse Analysis for Seepage Problem

分析了渗透系数反演中的适定性问题 ,包括唯一性和稳定性问题 ;分别对直接反演法和间接反演法进行了论述 ,侧重研究了间接法中的正则化最小二乘法和逐个修正法 ,建立了两套反演数值计算方法 ,主要包括叠代格式的建立、Jacobian矩阵的计算、高斯 -牛顿方向的修正。计算结果表明 ,此两种方法有较快的收敛速度和较强的稳定性。

The posedness of the inverse analysis in the seepage problem has been researched in the paper,including uniqueness and stability problems.The direct and indirect approaches of inverse problem have been discussed.The regularized the least squares algorithm and modifying algorithm in turn have been set up.The main contents include building reiterative format,computing Jacobian matrix and modifying Gauss Newton direction,The calculating results show that two methods have faster rate of convergence and better stability.