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:English
Published: Wiley 2021-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2021/7170769
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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
collection DOAJ
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.
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issn 1468-8123
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spelling doaj-art-2f0cfaaef59a45dca93fd69355c1390d2025-02-03T06:45:50ZengWileyGeofluids1468-81232021-01-01202110.1155/2021/7170769An Analytical Solution for Non-Darcian Flow on a Constant Head Packer Test in the Interlayer Staggered ZoneQi Shen0Zhifang Zhou1Meng Chen2Sijia Li3Zhe Wang4Yabing Li5School of Earth Science and EngineeringSchool of Earth Science and EngineeringNanjing Institute of Environmental SciencesSchool of Earth Science and EngineeringSchool of Earth Science and EngineeringSchool of Earth Science and EngineeringGroundwater 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.http://dx.doi.org/10.1155/2021/7170769
spellingShingle 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
Geofluids
title 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_short 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
url http://dx.doi.org/10.1155/2021/7170769
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