论文部分内容阅读
本文论述了应用边界元法进行井群系统的非稳定流计算问题。非稳定井流的数学模型是一个抛物型微分方程的边值问题,是利用拉普拉斯变换消去时间变量,把它变为椭圆型微分方程的边值问题。水头的象函数可用边界元法求解。我们导出了井群抽水条件下的象函数的边界积分方程及其离散化的形式。利用它进行边界元计算时不需要对井壁边界进行离散,因而比较简便,并且易于处理井数很多时的计算问题。求得后,地下水水头可通过数值反演求得。
This article discusses the application of the boundary element method to the well group system unsteady flow calculation. The mathematical model of unsteady well flow is a boundary value problem of a parabolic differential equation. It is a boundary value problem which takes Laplace transform to eliminate time variable and transform it into elliptic differential equation. The head function can be solved by the boundary element method. We derive the boundary integral equation of the elephant function and its discrete form under well pumping conditions. The boundary element calculation using it does not need to discretize the wellbore boundary, so it is relatively simple and easy to deal with the computational problems when there are many wells. After obtaining, groundwater head can be obtained by numerical inversion.