Developing a Two-Dimensional Semi-Analytical Solution on a Plan View for a Consecutive Divergent Tracer Test Considering Regional Groundwater Flow

IF 3.2 3区 地球科学 Q1 Environmental Science
Heejun Suk, Jize Piao, Ching-Ping Liang, Weon Shik Han, Hongil Ahn, Jui-Sheng Chen
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引用次数: 0

Abstract

Multiple successive tracer tests are often conducted to obtain reliable breakthrough curve results under regional groundwater flow, especially when the accuracy is crucial. In such cases, the period of rest between the end of the first divergent tracer test and the initiation of the second divergent tracer test allows the tracer from the first test to travel along with the background regional flow, thereby influencing the distribution of residual tracer concentration. This residual tracer could potentially interfere with breakthrough curve results from the tracer injection in the second tracer test. Additionally, the conventional analytical solution used for the divergent tracer test considers only radial flow; regional flow and consecutive tracer tests are ignored. Consequently, interpreting the behaviour of the tracer in consecutive divergent tracer tests under regional flow conditions is challenging using conventional measures because of background regional concentration. This study proposes a new semi-analytical solution, considering the effects of divergent radial and regional flows in consecutive tracer tests, addressing a critical gap in the conventional analytical solutions that, despite their practical necessity, have not been previously developed. The proposed semi-analytical solution was subjected to parameter studies under various scenarios. In our case studies, the conventional analytical solution based on a single tracer test can be safely used for parameter estimation only in cases where the injected mass for the subsequent tracer test is approximately six-fold that of the first tracer test or if the drift time is longer than 10 days.

Abstract Image

考虑区域地下水流的连续发散示踪试验平面视图二维半解析解
在区域地下水流作用下,为了获得可靠的突破曲线结果,往往需要进行多次连续示踪试验,特别是在精度要求很高的情况下。在这种情况下,在第一次发散性示踪剂试验结束和第二次发散性示踪剂试验开始之间的休息时间允许来自第一次试验的示踪剂随背景区域流行进,从而影响残留示踪剂浓度的分布。残留的示踪剂可能会干扰第二次示踪剂测试中示踪剂注入的突破曲线结果。此外,用于发散示踪试验的传统解析解只考虑径向流;区域流和连续示踪剂测试被忽略。因此,在连续发散示踪剂测试中,在区域流动条件下解释示踪剂的行为是具有挑战性的,因为存在区域背景浓度。本研究提出了一种新的半分析解决方案,考虑了连续示踪剂测试中发散的径向和区域流动的影响,解决了传统分析解决方案中的一个关键空白,尽管它们具有实际必要性,但以前没有开发过。提出的半解析解在各种情况下进行了参数研究。在我们的案例研究中,只有在后续示踪剂测试的注入质量大约是第一次示踪剂测试的6倍或漂移时间超过10天的情况下,基于单一示踪剂测试的传统分析解决方案才能安全地用于参数估计。
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来源期刊
Hydrological Processes
Hydrological Processes 环境科学-水资源
CiteScore
6.00
自引率
12.50%
发文量
313
审稿时长
2-4 weeks
期刊介绍: Hydrological Processes is an international journal that publishes original scientific papers advancing understanding of the mechanisms underlying the movement and storage of water in the environment, and the interaction of water with geological, biogeochemical, atmospheric and ecological systems. Not all papers related to water resources are appropriate for submission to this journal; rather we seek papers that clearly articulate the role(s) of hydrological processes.
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