An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone

Groundwater flow in an aquifer has frequently been found to be non-Darcian by performing in situ tests. A novel analytic model is proposed in this study for describing the unsteady non-Darcian flow in a confined aquifer by taking advantage of the observed flow rate and injection pressure during the...

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Main Authors:	Qi Shen, Zhifang Zhou, Meng Chen, Sijia Li, Zhe Wang, Yabing Li
Format:	article
Language:	EN
Published:	Hindawi-Wiley 2021
Subjects:	Geology QE1-996.5
Online Access:	https://doaj.org/article/2f0cfaaef59a45dca93fd69355c1390d
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spelling	oai:doaj.org-article:2f0cfaaef59a45dca93fd69355c1390d2021-11-22T01:10:45ZAn Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone1468-812310.1155/2021/7170769https://doaj.org/article/2f0cfaaef59a45dca93fd69355c1390d2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7170769https://doaj.org/toc/1468-8123Groundwater flow in an aquifer has frequently been found to be non-Darcian by performing in situ tests. A novel analytic model is proposed in this study for describing the unsteady non-Darcian flow in a confined aquifer by taking advantage of the observed flow rate and injection pressure during the constant head packer test. A linearization approximation of the Izbash equation is used to approximate the nonlinear term in the governing equation. This analytic model is applied to describe the non-Darcian flow in the interlayer staggered zone at the Baihetan hydropower station, China. The test results inversed by the genetic algorithm show that non-Darcian flow happened during the test under the injection pressure 0.3 MPa with the power index n is 1.278, non-Darcian hydraulic conductivity k1 is 1.613×10−5 cm/s and the specific storage Ss is 9.757×10−5 m-1, respectively. The sensitivity analysis indicated that when the power index n or the specific storage Ss is larger, and the hydraulic head will increase more slowly and needs longer to stabilize, but the non-Darcian hydraulic conductivity k1 shows the opposite trend. Moreover, the hydraulic head is more sensitive to the power index n compared to other parameters at late times. The findings of this study reveal the non-Darcian flow during the constant head packer test and provide a simple and fast way to estimate parameters for more accurate seepage field simulation.Qi ShenZhifang ZhouMeng ChenSijia LiZhe WangYabing LiHindawi-WileyarticleGeologyQE1-996.5ENGeofluids, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Geology QE1-996.5
spellingShingle	Geology QE1-996.5 Qi Shen Zhifang Zhou Meng Chen Sijia Li Zhe Wang Yabing Li An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
description	Groundwater flow in an aquifer has frequently been found to be non-Darcian by performing in situ tests. A novel analytic model is proposed in this study for describing the unsteady non-Darcian flow in a confined aquifer by taking advantage of the observed flow rate and injection pressure during the constant head packer test. A linearization approximation of the Izbash equation is used to approximate the nonlinear term in the governing equation. This analytic model is applied to describe the non-Darcian flow in the interlayer staggered zone at the Baihetan hydropower station, China. The test results inversed by the genetic algorithm show that non-Darcian flow happened during the test under the injection pressure 0.3 MPa with the power index n is 1.278, non-Darcian hydraulic conductivity k1 is 1.613×10−5 cm/s and the specific storage Ss is 9.757×10−5 m-1, respectively. The sensitivity analysis indicated that when the power index n or the specific storage Ss is larger, and the hydraulic head will increase more slowly and needs longer to stabilize, but the non-Darcian hydraulic conductivity k1 shows the opposite trend. Moreover, the hydraulic head is more sensitive to the power index n compared to other parameters at late times. The findings of this study reveal the non-Darcian flow during the constant head packer test and provide a simple and fast way to estimate parameters for more accurate seepage field simulation.
format	article
author	Qi Shen Zhifang Zhou Meng Chen Sijia Li Zhe Wang Yabing Li
author_facet	Qi Shen Zhifang Zhou Meng Chen Sijia Li Zhe Wang Yabing Li
author_sort	Qi Shen
title	An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
title_short	An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
title_full	An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
title_fullStr	An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
title_full_unstemmed	An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone
title_sort	analytical solution for non-darcian flow on a constant head packer test in the interlayer staggered zone
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/2f0cfaaef59a45dca93fd69355c1390d
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An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered Zone

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