Semi-analytical solutions for groundwater flow dynamics in confined aquifers under constant-rate injection considering clogging of aquifers around well
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Semi-analytical solutions for groundwater flow dynamics in confined aquifers under constant-rate injection considering clogging of aquifers around well
LI Jiong, LI Ming-guang, ZHAN Hong-bing, et al. Semi-analytical solutions for groundwater flow dynamics in confined aquifers under constant-rate injection considering clogging of aquifers around well[J]. 2023, 44(10): 2871-2878.
DOI:
LI Jiong, LI Ming-guang, ZHAN Hong-bing, et al. Semi-analytical solutions for groundwater flow dynamics in confined aquifers under constant-rate injection considering clogging of aquifers around well[J]. 2023, 44(10): 2871-2878.DOI: 10.16285/j.rsm.2023.0375.
Semi-analytical solutions for groundwater flow dynamics in confined aquifers under constant-rate injection considering clogging of aquifers around well
∞和λ 不同而引起的水头差在井筒处达到最大值并沿径向距离逐渐减小。研究结果可以为定流量回灌中井周含水层堵塞的识别与预测提供理论依据。To investigate the effect of clogging of aquifers around well on the flow dynamics in thewell vicinity during the constant-rate recharge using a partially penetratinginjection well
an analytical model for well hydraulics was proposed withspecial consideration of the clogging-related permeability reduction
which wasassumed to reduce exponentially with time. By means of the variablesubstitution and the Laplace and finite Fourier cosine transforms
thesolutions for the hydraulic head increment in the Laplace domain were derivedand then the solutions in the real-time domain were obtained using the Stehfestnumerical inversion method. A parametric study indicates that: a smallerasymptotic hydraulic conductivity Kr
∞ can not only increase the hydraulic head increment and the injection pressureduring the recharge process but also accelerate the flow dynamics of therecharged aquifer at the quasi-steady state
whereas a larger permeabilityreduction exponent λ only result in largerhydraulic head increment and the injection pressure during the recharge processbut doesn’t affect the flow dynamics at the quasi-steady state. The hydraulichead difference distribution due to various Kr
∞ and λ values reaches its maximum valuein the wellbore and then decreases gradually with the radial distance. Thefindings of this study can offer theoretical reference for the estimation andprediction of the clogging in the aquifer around well during the constant-rateinjection test.