Assessing the reliability of exponential recession in the water table fluctuation method

IF 4 2区 环境科学与生态学 Q1 WATER RESOURCES Advances in Water Resources Pub Date : 2024-09-12 DOI:10.1016/j.advwatres.2024.104821
S. Cristina Solórzano-Rivas, Adrian D. Werner, Neville I. Robinson
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Abstract

Distributed recharge is commonly predicted from groundwater level data by adopting the water table fluctuation method (WTFM). The simplicity of the technique makes it attractive for groundwater management applications seeking sustainable levels of extraction. While there are variations to the WTFM, the classic approach extends the antecedent recession curve (prior to recharge events) to allow for the estimation of the gross recharge. This is achieved using either the previous (local) recession or a master recession curve obtained from multiple recession events. The most common function used for the recession extension is exponential. Despite the wide application of the WTFM, remarkably, a validation of this approach against known recharge values has not been previously attempted. This is the goal of the current study, which also compares local recession and master recession curve approaches adopting an exponential function for estimating recharge using the WTFM. Stochastic analysis applying an existing analytical solution to water table fluctuations from intermittent recharge was used to produce 1000 hypothetical hydrographs. From these, WTFM-based recharge was estimated for three recession periods of differing lengths, producing 6000 estimates of recharge (1000 simulations, two recession curve approaches, three recharge-recession events). The WTFM produced an average under-estimation error of 14%. The WTFM is more likely to obtain recharge errors within 5% of the true value using the master recession curve approach. This study demonstrates the need to revise the WTFM to eliminate bias, especially in the extrapolation of antecedent recession curves.
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评估地下水位波动法中指数衰退的可靠性
通常采用地下水位波动法(WTFM)根据地下水位数据预测分布式补给。该技术简单易用,对寻求可持续开采水平的地下水管理应用很有吸引力。虽然 WTFM 有各种不同的方法,但经典的方法是扩展前衰退曲线(在补给事件发生之前),以便估算总补给量。这种方法可以使用前一次(局部)衰退曲线,也可以使用从多次衰退事件中获得的主衰退曲线。最常用的衰退扩展函数是指数函数。尽管 WTFM 得到了广泛应用,但值得注意的是,以前从未尝试过根据已知的补给值来验证这种方法。这也是本次研究的目标,它还比较了采用指数函数的局部衰退和主衰退曲线方法,以使用 WTFM 估算补给量。随机分析应用现有的间歇补给地下水位波动分析方法,生成 1000 个假设水文图。在此基础上,对三个不同长度的衰退期进行了基于 WTFM 的补给估算,得出了 6000 个补给估算值(1000 个模拟值、两种衰退曲线方法、三个补给-衰退事件)。WTFM 的平均低估误差为 14%。使用主衰退曲线法,WTFM 更有可能获得真实值 5%以内的补给误差。这项研究表明,有必要对 WTFM 进行修订,以消除偏差,特别是在前衰退曲线的推断方面。
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来源期刊
Advances in Water Resources
Advances in Water Resources 环境科学-水资源
CiteScore
9.40
自引率
6.40%
发文量
171
审稿时长
36 days
期刊介绍: Advances in Water Resources provides a forum for the presentation of fundamental scientific advances in the understanding of water resources systems. The scope of Advances in Water Resources includes any combination of theoretical, computational, and experimental approaches used to advance fundamental understanding of surface or subsurface water resources systems or the interaction of these systems with the atmosphere, geosphere, biosphere, and human societies. Manuscripts involving case studies that do not attempt to reach broader conclusions, research on engineering design, applied hydraulics, or water quality and treatment, as well as applications of existing knowledge that do not advance fundamental understanding of hydrological processes, are not appropriate for Advances in Water Resources. Examples of appropriate topical areas that will be considered include the following: • Surface and subsurface hydrology • Hydrometeorology • Environmental fluid dynamics • Ecohydrology and ecohydrodynamics • Multiphase transport phenomena in porous media • Fluid flow and species transport and reaction processes
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