Effects of exponentially decaying aquitard hydraulic conductivity on well hydraulics and fractions of groundwater withdrawal in a leaky aquifer system

Effects of exponentially decaying aquitard hydraulic conductivity on well hydraulics and fractions of groundwater withdrawal in a leaky aquifer system
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指数衰减的透水层水力传导率对渗漏含水层系统中井水力学和地下水抽取比例的影响

DOI:
10.1016/j.jhydrol.2022.127439
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发表时间:
2022-01
影响因子:
6.4
通讯作者:
Jinguo Wang
Jinguo Wang
中科院分区:
地球科学1区
文献类型:
--
作者:
Chao Zhuang;Yabing Li;Zhifang Zhou;Walter A. Illman;Zhi Dou;Yun Yang;Jinguo Wang

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具有相当厚度的水文地质单元通常在区域尺度上表现出深度衰减的水力导电性(K)。在这项研究中,我们研究了一个泄漏含水层系统中的瞬态井水力学(即含水层和含水层下降)和地下水预算(即地下水抽取的部分,包括含水层枯竭、含水层枯竭和无承压含水层的泄漏),考虑了含水层的指数衰减K,用无因次衰减系数(a d)进行参数化。利用Laplace变换和Hankel变换技术推导了相应的半解析解,并从理论上分析了降水和地下水收支特征及其对A d的敏感性。理论分析结果表明,ad越大,含水层降水越大,含水层降水越小,含水层衰竭比例越大,无承压含水层渗漏比例越小。敏感性分析结果也表明了A d对井水力学和地下水收支的关键影响。对比分析表明,3种典型的深度衰减含水层K均值均不能很好地表征早中期的水力学和地下水收支情况。谐波平均值和几何平均值可分别用于计算含水层衰竭最终分数和后期含水层衰竭最终分数。本文还讨论了新建立的分析模型的局限性。提出了纵向水不均一性的实际研究和该模型的进一步应用。
A hydrogeological unit with a considerable thickness usually demonstrates depth-decaying hydraulic conductivity (K) at the regional scale. In this study, we investigated transient well hydraulics (ie, aquifer and aquitard drawdown) and groundwater budget (ie, fractions of groundwater withdrawal including aquifer depletion, aquitard depletion and leakage from the unconfined aquifer) within a leaky aquifer system considering an exponentially decaying K of the aquitard, parameterized with a dimensionless decay coefficient (A d). Relevant semi-analytical solutions were derived using the Laplace transform and Hankel transform techniques, while drawdown and groundwater budget characteristics and their sensitivities to A d were theoretically analyzed. Theoretical analysis results suggested that a larger A d consistently leads to a larger aquifer drawdown, a smaller aquitard drawdown, a larger fraction of aquifer depletion and a smaller fraction of leakage from the unconfined aquifer. Sensitivity analysis results also indicated critical effects of A d on well hydraulics and groundwater budget. Comparative analysis revealed that none of the three typical mean values of depth-decaying aquitard K can perfectly characterize the well hydraulics and groundwater budget from early to intermediate times. However, the harmonic and geometric mean values can be feasibly used to calculate the final fractions of aquifer depletion and aquitard depletion at late times, respectively. Limitations of the newly developed analytical model have also been discussed. Practical investigations of vertical aquitard heterogeneity and further applications of this new model are recommended.
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