承压含水层大口井不稳定非达西流简化解析解  

Simplified analytical solution of transient non-Darcian flow in confined aquifers with large-diameter well

作　　者：肖良 柳岳辉 陈立华[1,2] 于江伟 XIAO Liang;LIU Yue-hui;CHEN Li-hua;YU Jiang-wei(College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Guangxi Key Laboratory of Disaster Prevention and Engineering Safety,Nanning 530004,China;Zhongtian Construction Group Co.,Ltd.,Guangxi Branch,Nanning 53004,China)

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]广西防灾减灾与工程安全重点实验室,广西南宁530004 [3]中天建设集团有限公司广西分公司,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2021年第2期319-326,共8页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(41807197);广西自然科学基金资助项目(桂科AB17195073;2017JJB140098);河北高层次人才资助项目(B2018003016)。

摘　　要：针对等速抽水条件下的承压无限含水层非达西不稳定井流问题,提出一种简化解析模型,同时考虑了井储效应对于水位降深变化的影响。该模型采用Izbash公式描述非达西流中单位宽度流量和水力梯度的非线性关系,采用Boltzmann变换及线性化近似方法相结合推导得不稳定非达西井流数学模型的简化解析解。通过比较其有无“井储”效应下水位降深时间曲线,发现井储效应仅发生于抽水初期并随着抽水的进行逐渐消失。同时通过对Izbash公式的两个参数进行参数特征分析,在抽水前期水位降深s与准水力传导系数k与非达西系数n呈正相关;而在中后期水位降深与两系数均呈负相关系。通过参数敏感性分析,发现Izbash公式中的非达西系数n相较于准水力传导系数k,其敏感性更强。This paper proposes a simplified analytical model for drawdown of transient non-Darcian flow in infinite confined aquifers.The proposed solution considers the wellbore storage induced by the use of large-diameter well.Izbash s equation is used to depict the nonlinear relationship between specific discharge and hydraulic gradient.The solution of mathematical modelling is derived by using Boltzmann transform and linearization approximate method.The results indicate that the effect of wellbore-storage occurs in the early pumping time and gradually eliminates as pumping continues.By the Izbash s equation,effects of non-Darcian index and quasi-conductivity on drawdown simulation are also investigated.It is found that the correlation between the water level drop and the two parameters is positive at early times,and is negative at moderate and late times.The drawdown is more sensitive to the non-Darcian index than the quasi-conductivity coefficient.

关 键 词：非达西流 Izbash定律 Boltzmann变换 大口井 解析模型 

分 类 号：TV139.1[水利工程—水力学及河流动力学]