Analytical Solutions of Steady Flow Toward a Partially Penetrating Well in a Rectangular Leaky-Confined Aquifer

SUN Qianlin; TAN Weijia; XU Beiyi; WANG Xudong

doi:10.21656/1000-0887.430398

Volume 44 Issue 8

Aug. 2023

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SUN Qianlin, TAN Weijia, XU Beiyi, WANG Xudong. Analytical Solutions of Steady Flow Toward a Partially Penetrating Well in a Rectangular Leaky-Confined Aquifer[J]. Applied Mathematics and Mechanics, 2023, 44(8): 909-920. doi: 10.21656/1000-0887.430398

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Analytical Solutions of Steady Flow Toward a Partially Penetrating Well in a Rectangular Leaky-Confined Aquifer

doi: 10.21656/1000-0887.430398

Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing 211816, P.R.China

Received Date: 2022-12-21
Rev Recd Date: 2023-05-06
Publish Date: 2023-08-01

Abstract

Abstract

For the complicated problem of groundwater flow to a partially penetrating well in a rectangular confined aquifer, a mathematical model describing the groundwater flow to a partially penetrating well pumped at a constant rate in a rectangular leaky-confined aquifer, was established. The analytical solutions of the 3D steady flow in the Cartesian coordinate system under different boundary conditions, were derived through the finite Fourier transform and the inverse transform. After the verification of the analytical solution of drawdown, the number of calculation items satisfying the calculation accuracy requirement was given, based on the analysis of the calculation accuracy of the analytical solution and the characteristics of the groundwater flow to a partially penetrating well. Moreover, the effects of orthotropy, well integrity and well location on the drawdown and seepage fields, were discussed. The engineering examples demonstrate the applicability of the proposed analytical method.
- rectangular confined aquifer,
- partially penetrating well,
- 3D steady flow,
- Cartesian coordinate system,
- analytical solution

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References(27)

References

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