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A Novel Spacetime Boundary-Type Meshless Method for Estimating Aquifer Hydraulic Properties Using Pumping Tests

Author

Listed:
  • Cheng-Yu Ku

    (School of Engineering, National Taiwan Ocean University, Keelung 202301, Taiwan)

  • Chih-Yu Liu

    (Department of Civil Engineering, National Central University, Taoyuan 320317, Taiwan)

Abstract

This article introduces a new boundary-type meshless method designed for solving axisymmetric transient groundwater flow problems, specifically for aquifer tests and estimating hydraulic properties. The method approximates solutions for axisymmetric transient groundwater flow using basis functions that satisfy the governing equation by solving the inverse boundary value problem in the spacetime domain. The effectiveness of this method was demonstrated through validation with the Theis solution, which involves transient flow to a well in an infinite confined aquifer. The study included numerical examples that predicted drawdown at various radial distances and times near pumping wells. Additionally, an iterative scheme, namely, the fictitious time integration method, was employed to iteratively determine the hydraulic properties during the pumping test. The results indicate that this approach yielded highly accurate solutions without relying on the conventional time-marching scheme. Due to its temporal and spatial discretization within the spacetime domain, this method was found to be advantageous for estimating crucial hydraulic properties, such as the transmissivity and storativity of an aquifer.

Suggested Citation

  • Cheng-Yu Ku & Chih-Yu Liu, 2023. "A Novel Spacetime Boundary-Type Meshless Method for Estimating Aquifer Hydraulic Properties Using Pumping Tests," Mathematics, MDPI, vol. 11(21), pages 1-23, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4497-:d:1271392
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    References listed on IDEAS

    as
    1. Sharad Patel & A. K. Rastogi, 2017. "Meshfree Multiquadric Solution for Real Field Large Heterogeneous Aquifer System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2869-2884, July.
    2. Manotosh Kumbhakar & Vijay P. Singh, 2023. "Analytical Approximations of Well Function by Solving the Governing Differential Equation Representing Unsteady Groundwater Flow in a Confined Aquifer," Mathematics, MDPI, vol. 11(7), pages 1-23, March.
    3. L. Guneshwor & T. I. Eldho & A. Vinod Kumar, 2018. "Identification of Groundwater Contamination Sources Using Meshfree RPCM Simulation and Particle Swarm Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(4), pages 1517-1538, March.
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