用脉冲谱法确定承压含水层非均值导水系数

An Algorithm for Determining Inhomogeneous Transmissivities of Confined Aquifer by Pulse Spectrum Technique

The problem of determining inhomogeneous transmissivities of two-dimensional confined aquifer is presented as a parameter-control inverse problem for Poisson Equation in this paper. By virtue of PST, the solution of the inverse problem is converted into an interation procedure of solving a direct problem and solving a Fredholm integral equation of the first kind. Besides, ? normalization method is introduced to treat the uncertainty caused by the integral equation. Thus an algorithm for determining inhomogeneous transmissivities has been formulated and implemented. Numerical results show: (a) the algorithm presented in the paper is suitable to strongly inhomogeneous aquifer with large scale; (b) the additional information needed for solution is merely the water head and discharge per width on the permeable boundary, so that drill works, otherwise needed for gaining additional information, can be reduced remarkably; and (c) the algorithm is applicable to determining inhomoge neous transmissivities or transmission coefficients in groundwater engineering or other engineering.