Earth Science Frontiers ›› 2022, Vol. 29 ›› Issue (3): 256-262.DOI: 10.13745/j.esf.sf.2022.1.38

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The relationship between groundwater displacement rate, air-entrapped saturation, and quasi-saturated hydraulic conductivity in quasi-saturated porous media

CHENG Donghui1,2(), LI Hui1, WANG Jun1, LI Shuang3, HUANG Mengnan1, MA Chenglong1, RAO Ze1   

  1. 1. School of Water and Environment, Chang’an University, Xi’an 710054, China
    2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region, Ministry of Education, Xi’an 710054, China
    3. School of Environmental Studies, China University of Geosciences (Wuhan), Wuhan 430074, China
  • Received:2022-01-30 Revised:2022-02-08 Online:2022-05-25 Published:2022-04-28

Abstract:

An aquifer that traps discontinuous and non-flowing air is called a quasi-saturated aquifer. The trapped air can reduce the permeability of the aquifer; however, the relationship between quasi-saturated hydraulic conductivity (Kq), trapped gas saturation (Sa-t), and displacement rate is not fully understood. In this study, a displacement experiment was conducted to illustrate the effect of displacement rate on Sa-t and Kq. Sa-t was found to generally decrease nonlinearly with increasing displacement rate and remained almost unchanged at the high or low displacement rate. This S-shaped curve can be mathematically expressed by a model similar to “van Genuchten equation”. Further, a linear negative correlation between Kq and Sa-t was found for sandy media. The two empirical models above imply that the displacement rate can be used to estimate Kq, which provides another approach for determining the Kq values. These hydraulic properties provide a basis for understanding quasi-saturated groundwater flow. In addition, the relationship between displacement rate and Sa-t showed that in experiments involving fully saturated porous media, the initial saturation rate should be greater than the initial capillary rise rate when measuring Sa-t to avoid air entrapment in the media.

Key words: trapped gas saturation, quasi-saturated hydraulic conductivity, displacement rate, quasi-saturated aquifer, sandy media

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