二维采空区非线性渗流问题和解法

THE NON-LINEAR INFILTRATION FLOW ON TWO-DIMENSIONAL GOAF AND ITS SOLUTION

本文针对二维采空区非线性渗流问题不能建立如二维线性渗流的势函数方程,提出了非线性渗流的流函数方程。流函数方程的建立为解决二维采空区非线性渗流问题提供了理论基础,使二维采空区非线性渗流问题归结为求解二维非线性渗流流函数方程的边值问题。文末简单分析了用有限元方法和差分法解此边值问题的途径以及用改进的牛顿迭代法解高次非线性方程组问题。参考文献5。

Aiming at the problem that potential function equation of the non-linear infiltration flow on two-dimensional goal can't be established like potential function equation of the two-dimensional linear infiltration flow be done, this paper presented flow function equation of non-linear infiltration flow. The flow function equation provides the solution of the two-dimentional goal non-linear infiltration flow problem with theoretical basis, and it converts the non-linear infiltration flow problem of twodimensional goal into the solution of boundary value problem of twodimensional non-linear infiltration flow function equation.5refs.