A B S T R A C T
In this article, numerical solutions of three–dimensional subsurface flow toward wells in layered soils using a
hybrid method of fundamental solutions is presented. The proposed boundary–type meshless method is based on
using the superposition of the fundamental solution and general solution of governing equations from the subsurface
flow and the radial flow to a well, respectively. To deal with the subsurface flow in a layered aquifer
system, the method of domain decomposition is employed in which the continuity conditions of head and flux at
the interface between layers can be satisfied. The validation of the proposed approach is conducted comparing
with exact solutions and the USGS’s modular hydrologic model, MODFLOW. The approach is then applied to
investigate the leakage of the aquifer under pumping conditions for a real layered aquifer system in Taiwan.
Results illustrate that the proposed approach exhibits high accuracy over the mesh–based numerical technique.
We also demonstrate that the boundary–type meshless method is beneficial for the boundary discretization
technique and reduces the computational complexity.
Keywords:
Subsurface flow
Layered soil
Well
Aquifer
Fundamental solution
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https://authors.elsevier.com/c/1gnPs3PKjszqNl
https://doi.org/10.1016/j.enganabound.2023.03.011
