非对称井问题的一个解析解

Analytical Solution to Unsymmetrical Well Flow Problem

运用保角变换方法寻求了一个半无限渗流域中非对称井流问题的解析解,分析了非对称井流水头势的分布规律.在此基础上,又利用井群工作时降深的叠加原理,进一步研究了非对称井群协同工作情况,获得了非对称井群共同作用下的水头场解析关系.如将该解析解与数值解(有限单元法或差分法)相结合,将可实现对含有复杂密集排水系统的渗流控制问题进行快速求解。

The conformal transformation method is used to find an analytical solution to unsymmetrical well flow problems of the semi infinite seepage field,and the hydraulic head distribution law of unsymmetrical well flow is also analyzed.Based on this,the superposition principle of drop depth is used to gain the head field analytical relationship under the action of unsymmetrical well group.If the present analytical theory is combined with a numerical method(finite element method or finite difference method),it can be applied to rapid solution to seepage control problems with a complicated close drainage system and the optimization design of seepage control and drainage system of complicated engineering projects.