A Close-to-Optimal Discretization Strategy for Pumping Test Numerical Simulation.

Ground water Pub Date : 2024-09-23 DOI:10.1111/gwat.13442
Ronny Figueroa, Etienne Bresciani
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Abstract

Numerical modeling offers a valuable alternative to analytical solutions for pumping test analysis. However, little is known about how discretization impacts results accuracy and runtime. This study presents a systematic method for defining the spatiotemporal discretization of pumping test numerical models based on dimensionless parameters. Two types of analysis are considered: one where observations are made in the pumping well, and another one where observations are made in different wells. The influence of the discretization parameters on results accuracy and runtime is investigated and an optimal set of parameters is determined that minimizes runtime while maintaining the maximum error under 1% for an "average" aquifer. Lower runtimes are achieved when the analysis focuses on the pumping well, which is attributed to the steady-state analytical solution approximating drawdown in the well in the numerical scheme employed. Additional tests demonstrate the robustness of the derived set of parameters in different configurations.

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用于抽水试验数值模拟的接近最优的离散化策略。
数值建模为抽水试验分析提供了一种有价值的替代分析解决方案。然而,人们对离散化如何影响结果精度和运行时间知之甚少。本研究提出了一种基于无量纲参数的系统方法,用于定义抽水试验数值模型的时空离散化。研究考虑了两种类型的分析:一种是在抽水井中进行观测,另一种是在不同的井中进行观测。研究了离散化参数对结果准确性和运行时间的影响,并确定了一组最佳参数,在保持 "平均 "含水层最大误差在 1%以下的同时,最大限度地缩短了运行时间。当分析集中于抽水井时,运行时间较短,这归因于在所采用的数值方案中,稳态分析解近似于抽水井中的缩减。其他测试表明,推导出的参数集在不同配置下具有稳健性。
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