基岩三维流数学模型求解的广义差分法及应用

J4 ›› 2009, Vol. 39 ›› Issue (5): 863-867.

基岩三维流数学模型求解的广义差分法及应用

马瑞杰¹| 赵宇琦²| |张静¹| 黄平³

1.吉林大学数学学院|长春 130012;2.长春市水利局|长春 130022;3.吉林大学环境与资源学院,长春 130026

收稿日期:2009-03-12 出版日期:2009-09-26 发布日期:2009-09-26
通讯作者: 马瑞杰(1965-)，女，吉林长春人，副教授，博士，主要从事应用数学研究 E-mail:marj@jlu.edu.cn
作者简介:马瑞杰(1965-)|女|吉林长春人|副教授|博士|主要从事应用数学研究|E-mail:marj@jlu.edu.cn
基金资助:
“十一·五”国家科技支撑计划项目（2006BAB04A09-02，2007BAB28B04-03）

Generalized Finite Difference Method and Its Application of Bedrock Waterflow |Three-Dimensional Mathematical Model Solving

MA Rui-jie¹, ZHAO Yu-qi²,ZHANG Jing¹,HUANG Ping³

1.College of Math, Jilin University, Changchun 130012,China;2.Changchun |Water Conservancy Bureau, Changchun 130022,China;3.College of Environment and Resources, Jilin University, Changchun 130026, China

Received:2009-03-12 Online:2009-09-26 Published:2009-09-26

摘要/Abstract

摘要：

白垩系基岩孔隙裂隙承压含水层为研究区地下水主要含水层之一，水文地质模型概化为各项异性非均质。根据地下水系统运动规律及分布特征建立三维非稳定流数学模型，采用广义差分法对其求解，并以长春市区为例对模型进行识别验证。结果表明，计算模型与实际水文地质条件比较接近，计算水位与实测水位相吻合；为研究区地下水系统可持续管理提供了科学理论依据。

关键词: 基岩, 孔隙裂隙, 广义差分法, 计算水位, 实测水位

Abstract:

Confined pore and fissure aquifer in Cretaceous bedrock is one of the main aquifers in Changchun area and the hydrogeological conceptural model can be simplified as anisotropy and heterogeneity. According to the movement’s feature of groundwater system, the mathematic model of three-dimensional transient flow is assumed and generalized difference method is used to solve the flow equations and the groundwater flow model has been calibrated and verified. The model simulation result is in accordance to the actual hydrogeologic condition and the caculated water table is consistent to the monitored water table. The results can provide a scientific theoretical foundation for sustainable management of groundwater resources in the study area.

Key words: bedrock, pore and fissue, generalized difference, caculated water table, measured water table

中图分类号:

P641.1

马瑞杰, 赵宇琦, 张静, 黄平. 基岩三维流数学模型求解的广义差分法及应用[J]. J4, 2009, 39(5): 863-867.

MA Rui-jie, ZHAO Yu-qi, ZHANG Jing, HUANG Ping. Generalized Finite Difference Method and Its Application of Bedrock Waterflow |Three-Dimensional Mathematical Model Solving[J]. J4, 2009, 39(5): 863-867.

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