Non‐Darcian flow toward an injection well fully penetrating a leaky confined aquifer with clogging‐induced permeability reduction

Managed aquifer recharge (MAR) using aquifer injection wells is generally developed with the validity of Darcy's law and assumption of a constant hydraulic conductivity, hence ignoring the non‐Darcian nature of groundwater flow and the spatiotemporal permeability reduction owing to well and aqu...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2022-12, Vol.46 (17), p.3217-3235
Main Authors: Li, Jiong, Li, Ming‐Guang, Zhan, Hongbin, Chen, Jin‐Jian, Xia, Xiao‐He
Format: Article
Language:English
Subjects:
approximate solutions
Aquifer management
Aquifers
artificial recharge
Clogging
Confined aquifers
Darcys law
Exact solutions
Groundwater
Groundwater flow
Groundwater recharge
Injection
Injection wells
Leaky aquifers
Mathematical models
non‐Darcian flow
Parameter estimation
Permeability
permeability reduction
Reduction
Time dependence
Water flow
well and aquifer clogging
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Summary:Managed aquifer recharge (MAR) using aquifer injection wells is generally developed with the validity of Darcy's law and assumption of a constant hydraulic conductivity, hence ignoring the non‐Darcian nature of groundwater flow and the spatiotemporal permeability reduction owing to well and aquifer clogging. In this study, an Izbash's law‐based analytical model is proposed for constant‐rate recharge (CRR) and constant‐head recharge (CHR) with special consideration of well and aquifer clogging using a time‐dependent hydraulic conductivity (K) function. By means of linearization approximations, variable substitutions and Hankel and Weber transforms, approximate analytical solutions for the model are derived. The early‐time and late‐time solutions and the steady‐state solutions are also derived using the developed approximate solutions. A comparison with numerical solutions indicates that the approximate solutions are highly accurate except during the short period of initial recharge stage. Then, a semi‐log graphic approach based on the developed solutions is tendered for estimating parameters associated with the clogging effect and non‐Darcian aquifer property. The proposed model offers a straightforward way for the quantitative assessment of the non‐Darcian flow dynamics in confined aquifers experiencing clogging and can be adopted for the estimation and prediction of clogging‐related permeability reduction in MAR using aquifer injection wells.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.3448