任意直角坐标系下潜水面边界条件的表达式

冉兴龙　

摘　要：渗流理论中现有的潜水面边界条件表达式是针对特定方向的一类潜水渗流问题而给出的。随着与地下水有关的工程活动的逐步复杂化，任意直角坐标系下潜水渗流问题日渐多见。因此给出描述这类渗流问题潜水面边界条件的最一般表达式，将使建立任意座标方向下的潜水三维流或倾斜平面二维流问题的数学模型成为可能，这是对渗流基本理论的一种完善。
关键词：边界条件; 潜水面; 直角坐标系; 渗流理论
分类号：P641.2　文献标识码：A
文章编号：1007-9955(2001)01-0030-03

EXPRESSIONS OF THE BOUNDARY CONDITION ON PHREATIC SURFACE IN ARBITRARY RECTANGULAR COODINATES SYSTEM

RAN Xing-long（Dept.of Water Resources and Environmental Engineering，Chang'an University，Xi'an 710054，China）　

Abstract：In the seepage theory, the current expression of boundary condition on phreatic surface is aimed at a kind of seepage. with some particular flow direations. As engineering activities related to groundwater are getting more and more complicated,seepage problems in arbitrary rectangular coordinates system can be often met.This paper sets up mathematical expressions of boundary condition on phreatic surface for this kind of problems, which makes it possible to mathematcally establish the phreatic models either of 3-D flow in an arbitrary rectangular codinates system or of 2-D flow on any inclined plane. The work is also a complement to the basic seepage theory.
Keywords：boundary conditions；phreatic surface；rectangular coordinates system；seepage theory

参考文献：

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［3］G.A.科恩,等.数学手册[Z].周民强,等译.北京：工人出版社，1987.43～47.

收稿日期：2000年6月27日

出版日期：2001年3月15日