越流含水层井群系统地下水流的边界元数值模拟

A Boundary Element Method of Groundwater Flow to Well System in a Leaky Aquifer

本文提出一种求解越流含水层井群系统的边界元方法。该法把抽水井井壁作为内边界,通过积分处理,不需要对井壁内边界进行剖分,通过推导求得水头H及其法向导数的边界积分方程,离散化后得到求解该积分方程的一组线性代数方程组、该法用于实例计算表明,计算精度较高。

A boundary element method (BEM) for calculating groundwater flow to a multiple well system in a leaky aquifer is presented. This method treats the well walls as internal boundaries and avoids discretizing the boundaries of the well walls. At first, the boundary integral equations of the water head H and its normal derivative eW/en are derived. After discretization, a system of linear algebraic equations for solving the integral equations is obtained. To illustrate application of the method,, some typical problems are solved and the results show that the method is accurate.