柱坐标系下地下水非稳定流模拟的有限层法  

Finite layer method for numerical simulation of unsteady groundwater flow in cylindrical coordinate system

作　　者：王旭东[1,2] 殷宗泽[2] 宰金珉[1] 诸宏博[1] 

机构地区：[1]南京工业大学岩土工程研究所,江苏南京210009 [2]河海大学岩土工程科学研究所,江苏南京210098

出　　处：《岩土工程学报》2009年第1期15-20,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(50278042);江苏省高校自然科学研究计划项目(03KJB560044)

摘　　要：在柱坐标系下,利用贝塞耳函数和基函数提出了满足地下水流动边界条件的降深试探函数;采用伽辽金法原理,推导了层状非均质各向异性越流承压含水层中地下水非稳定流的有限层方程,建立了地下水流动的有限层分析方法。在此基础上,编制了相应的计算程序实现了有限层方程的求解。经典算例的解析解与有限层解的对比分析验证了本文方法的正确性和有效性。A test function by using the Bessel function and basic function, which satisfies constant-head and no flow boundary conditions, is put forward to describe unsteady groundwater flow in the cylindrical coordinate system. Based on Galerkin＇s method, semi-analytical finite layer equations are derived in the non-homogeneous and anisotropic layered leaky confined aquifers. The finite layer method （FLM） for the unsteady groundwater flow is presented in the cylindrical coordinate system. A computer program is developed for solving the finite layer equations, Numerical examples are presented and compared with the analytical solutions to demonstrate the validity and efficiency of the present method.

关 键 词：有限层法 地下水 非稳定流 柱坐标系 

分 类 号：TU43[建筑科学—岩土工程]