Technical Papers
Nov 23, 2023

Measuring Groundwater Velocity: Method Based on Groundwater Flow–Induced Cooling

Publication: Journal of Hydrologic Engineering
Volume 29, Issue 1

Abstract

Groundwater flow velocity, including its magnitude and direction, is a crucial aquifer characteristic that plays a significant role in developing and protecting groundwater resources. Current groundwater measurement technologies yield low flow velocity accuracy and are expensive. This study proposes a new method for in situ measurement of groundwater velocity based on groundwater flow–induced cooling. It utilizes the cooling capability of flowing groundwater on a closed circulation of heated fluid to establish a functional relationship between the temperature difference of heated fluid and groundwater velocity. A series of experiments were conducted in a sandbox to verify this approach. The result shows that the new method can measure the groundwater velocity’s magnitude and direction. Within the designed flow rate range (01.055  mm/s), the correlation coefficient between the calculated values obtained by the new method and the actual values exceeds 0.97, with only a 0.017 root mean square error and a 0.040 mean absolute error. Further, the method finds a significant sine function relationship between the temperature difference of heated fluid and the direction of groundwater flow, with the correlation coefficient exceeding 0.97.

Practical Applications

Accurately detecting groundwater flow velocity, including its magnitude and direction, plays a significant role in developing and protecting groundwater resources. However, traditional methods for measuring groundwater flow velocity, such as isotope tracing and borehole dilution tests, have a problem: measurement accuracy is not high, measuring equipment is expensive, and there is a long measurement time. Thus, we propose a fast and accurate method for measuring groundwater velocity. The new method utilizes the cooling capability of flowing groundwater on a closed circulation of heated fluid. A theoretical analysis of the method yields a mathematical relationship between the temperature difference of heated fluid and groundwater velocity. Based on the theoretical analysis, we designed and tested a series of experiments in a sandbox. The result shows that the new method can simultaneously measure the groundwater velocity’s magnitude and direction and has the advantages of high accuracy and strong robustness, which provides a theoretical reference for in situ measurement of groundwater velocity.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

The authors gratefully acknowledge the financial support for this study from the National Key Research and Development Program of China (Grant No. 2019YFC1510802), the Special Funding for Chongqing Postdoctoral Research Project (Grant No. 2022CQBSHTB1010), the China Postdoctoral Science Foundation (Grant No. 2023M730432), the Chongqing Postdoctoral Science Foundation (Grant No. CSTB2023NSCQ-BHX0223), and the Research and Innovation Program for Graduate Students in Chongqing (Grant No. CYB23251). Moreover, the authors gratefully thank the editors’ and anonymous reviewers’ suggestions and comments.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 29Issue 1February 2024

History

Received: Nov 2, 2022
Accepted: Sep 14, 2023
Published online: Nov 23, 2023
Published in print: Feb 1, 2024
Discussion open until: Apr 23, 2024

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Ph.D. Candidate, National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong Univ., Chongqing 400074, China. Email: [email protected]
Professor, National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong Univ., Chongqing 400074, China (corresponding author). Email: [email protected]
Tian-Chyi Jim Yeh [email protected]
Professor, Dept. of Hydrology and Atmospheric Sciences, The Univ. of Arizona, Tucson, AZ 85721. Email: [email protected]
Xinqiang Niu [email protected]
Academician of Chinese Academy of Engineering, Key Laboratory of Yangtza River Regulation and Protection of Ministry of Water Resources, Yangtza River Institute of Survey, Planning, Design and Research Corporation, Wuhan 430010, China. Email: [email protected]
Lecturer, National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong Univ., Chongqing 400074, China. Email: [email protected]
Ph.D. Candidate, National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong Univ., Chongqing 400074, China. Email: [email protected]

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