Abstract

A novel semi-analytical method for calculating the characteristics of the flow in a porous medium bounded by a rectangular polygonal barrier is proposed. The method is based on the usage of Riemann theta functions. It allows one to effectively solve certain filtration problems with machine accuracy and obtain some characteristics of the solutions without solving the problem as a whole.

中文翻译：

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阶梯坝和Riemann Theta函数下的过滤

摘要

提出了一种新颖的半解析方法，用于计算以矩形多边形壁垒为边界的多孔介质中的流动特性。该方法基于Riemann theta函数的使用。它使人们能够以机器精度有效地解决某些过滤问题，并获得解决方案的某些特性，而无需从整体上解决问题。