Semi-Analytical Modeling of Transient Stream Drawdown and Depletion in Response to Aquifer Pumping.

Ground water Pub Date : 2024-11-01 Epub Date: 2024-07-04 DOI:10.1111/gwat.13425
Bwalya Malama, Ying-Fan Lin, Kristopher L Kuhlman
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Abstract

Analytical and semi-analytical models for stream depletion with transient stream stage drawdown induced by groundwater pumping are developed to address a deficiency in existing models, namely, the use of a fixed stream stage condition at the stream-aquifer interface. Field data are presented to demonstrate that stream stage drawdown does indeed occur in response to groundwater pumping near aquifer-connected streams. A model that predicts stream depletion with transient stream drawdown is developed based on stream channel mass conservation and finite stream channel storage. The resulting models are shown to reduce to existing fixed-stage models in the limit as stream channel storage becomes infinitely large, and to the confined aquifer flow with a no-flow boundary at the streambed in the limit as stream storage becomes vanishingly small. The model is applied to field measurements of aquifer and stream drawdown, giving estimates of aquifer hydraulic parameters, streambed conductance, and a measure of stream channel storage. The results of the modeling and data analysis presented herein have implications for sustainable groundwater management.

含水层抽水时瞬时溪流缩减和枯竭的半分析模型。
针对现有模型中的不足之处,即在溪流-含水层界面使用固定的溪流水位条件,建立了地下水抽取引起的瞬时溪流水位下降的溪流枯竭分析和半分析模型。实地数据表明,在含水层相连的溪流附近,抽取地下水确实会导致溪流水位下降。根据溪流河道质量守恒和有限溪流河道存储,建立了一个预测溪流枯竭和瞬时溪流抽水的模型。结果表明,当河道储量变得无限大时,所建立的模型在极限范围内可还原为现有的固定阶段模型;当河道储量变得非常小时,所建立的模型在极限范围内可还原为在河床处具有无流边界的承压含水层流动模型。该模型应用于含水层和溪流缩减的实地测量,从而估算出含水层水力参数、溪流河床电导率以及溪流河道储量。本文介绍的建模和数据分析结果对可持续地下水管理具有重要意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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