安全与环境工程2024，Vol.31Issue(6)：179-188,10.DOI:10.13578/j.cnki.issn.1671-1556.20230746
非达西效应下不稳定承压-无压井流的有限差分解
Finite difference solution for transient confined-unconfined flow with non-Darcian effect
摘要
Abstract
To avoid the water inrush and ensure mining safety in deep coal mining engineering,it is common to use mine drainage to decrease the water level in the confined aquifer above the mine face.This paper proposes a new finite difference numerical solution to investigate the mechanism of transient confined-unconfined flow under the non-Darcian condition in the fully-penetrated confined aquifer.In order to use the finite difference method to solve the mathematical model,a new linearization method was developed to approximate the nonlinear terms of pumping-induced flow by using the Izbash's equation.The model further investigated the non-Darcian effect represented by the non-Darcian index,hydraulic conductivity and the storativity ratio on drawdown simulation and development of the unconfined region.The results show that larger non-Darcian index and hydraulic conductivity can lead to a large drawdown in confined region,and a smaller drawdown in unconfined region and a later confined-unconfined conversion time;the storativity ratio has a negative effect on the drawdown and the development of the unconfined region;a large storativity ratio means a large storativity in the confined region and there is more water supply to the pumping well,leading to a smalle drawdown.关键词
不稳定承压-无压井流/非达西效应/地下水动力学/有限差分解Key words
transient confined-unconfined flow/non-Darcian effect/groundwater hydraulics/finite difference solutions分类
资源环境引用本文复制引用
滕开庆,刘健军,史鹏钰,宗一杰,肖良..非达西效应下不稳定承压-无压井流的有限差分解[J].安全与环境工程,2024,31(6):179-188,10.基金项目
国家自然科学基金青年科学基金项目(41807197) （41807197）
广西自然科学基金项目(2018GXNSFAA138042) （2018GXNSFAA138042）
河北省高层次人才资助项目(B2018003016) （B2018003016）
