Well hydraulics of temporally varying artificial recharge with well clogging in confined aquifers

Li, Jiong; Chen, Jin-Jian; Li, Ming-Guang; Xia, Xiaohe

doi:10.1007/s12517-020-05898-3

Cited by 2 publications

(4 citation statements)

References 55 publications

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“…The choices of an exponentially decayed K function above and the associated parameter values are based on previous experiment of Bianchi et al 14 . A similar K ‐ t function has also been adopted in some previous studies, 16–19 which can be regarded as a special case of the present study when K ∞ is equal to zero. The exponentially decayed K ‐ t function is also generally supported in laboratory and field tests 14,15,41,42 .…”

Section: Results Analysismentioning

confidence: 99%

“…where K 0 and K ∞ are respectively the initial and asymptotic hydraulic conductivities [LT −1 ], λ is an adjustable parameter that denotes the reduction rate of permeability [T −1 ]. The choices of an exponentially decayed K function above and the associated parameter values are based on previous experiment of Bianchi et al 14 A similar K-t function has also been adopted in some previous studies, [16][17][18][19] which can be regarded as a special case of the present study when K ∞ is equal to zero. The exponentially decayed K-t function is also generally supported in laboratory and field tests.…”

Section: Solution Verificationmentioning

confidence: 99%

“…To address the effect of the clogging-induced permeability reduction on groundwater flow dynamics, some scholars have incorporated the empirical clogging-related permeability reduction models 14,15 into the well hydraulics models. [16][17][18][19] For instance, He et al 16 developed a model for constant-rate geothermal injection by substituting an exponentially-decay permeability model 15 into the traditional Theis 20 model and derived the semi-analytical solution. However, a careful check of the solution developed by He et al 16 revealed that they only simply replace the constant hydraulic conductivity K 0 with a variable one K(t) in the Theis solution, which was only suitable for the steady-state flow.…”

Section: Introductionmentioning

confidence: 99%

“…To address the effect of the clogging‐induced permeability reduction on groundwater flow dynamics, some scholars have incorporated the empirical clogging‐related permeability reduction models 14,15 into the well hydraulics models 16–19 . For instance, He et al 16 .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

et al. 2022

Num Anal Meth Geomechanics

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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.

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Section: Results Analysismentioning

confidence: 99%