Analytic element method plays a crucial role to solve fluid flow problems in porous media having isotropic hydraulic conductivity. Flow problems in anisotropic domains can be modeled by means of an equivalent isotropic domains by appropriate scaling of the coordinate transformation. Once analytic solutions are obtained for the equivalent isotropic domain, they can be mapped back to the original anisotropic domain. In this article we use a suitable coordinate transformation to solve the problem of potential flow in anisotropic domain. If the standard analytic solution for steady radial flow towards a well is considered with coordinate transformation, the resulting solutions correctly models the far field but they do not meet the constant head boundary condition at the boundary of a well. This is a significant drawback if one is interested in the flow field close to the well or wish to estimate the head at the pumping well. In this paper, using conformal mapping, we develop a technique to overcome this difficulty on the boundary of the well.

解析元法对于解决具有各向同性导水率的多孔介质中的流体流动问题起着至关重要的作用。各向异性域中的流动问题可以通过坐标变换的适当缩放，通过等效的各向同性域来建模。一旦获得等效各向同性域的解析解，就可以将它们映射回原始各向异性域。在本文中，我们使用合适的坐标变换来解决各向异性域中的势流问题。如果用坐标变换考虑稳定径向流向井的标准解析解，所得解可以正确模拟远场，但它们不满足井边界处的恒定水头边界条件。如果人们对靠近井的流场感兴趣或希望估计抽水井的水头，这是一个明显的缺点。在本文中，我们使用保角映射开发了一种技术来克服井边界上的这一困难。