摘要
基于地下水向水平井三维流动数学模型,利用半解析数值分析原理推导了层状各向异性承压含水层有限层方程,给出了水平井源汇项计算公式,编制了相应的计算程序,实现了有限层方程的求解。通过算例的解析解和有限差分解验证了有限层法及程序的正确性,对比分析了有限层法与有限差法的计算效率。结果表明,有限层法适于层状各向异性承压含水层中地下水向水平井三维流动问题的模拟分析,且具有较高的计算效率。
Based on three-dimensional mathematical model of groundwater flow to horizontal well,the finite layer equations and the formula of sources and sinks is presented by using the principles of semi-analytical numerical analysis in layered anisotropic confined aquifer.A computer program is developed for solving the finite layer equations.Numerical examples are given and compared with analytical solution and finite difference solution to verify the validity of the presented method and the program.The comparative analysis of finite layer method（FLM） and finite difference method（FDM） shows that the FLM is suitable for modeling the three-dimensional groundwater flow to horizontal well in anisotropic layered confined aquifer;and it has high computational efficiency.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2011年第3期922-926,共5页
Rock and Soil Mechanics
关键词
有限层法
各向异性承压含水层
地下水
水平井
finite layer method
anisotropic confined aquifer
groundwater
horizontal well
