Homotopy Perturbation Method-Based Analytical Solution for Tide-Induced Groundwater Fluctuations.
The groundwater variations in unconfined aquifers are governed by the nonlinear Boussinesq's equation. Analytical solution for groundwater fluctuations in coastal aquifers under tidal forcing can be solved using perturbation methods. However, the perturbation parameters should be properly selected and predefined for traditional perturbation methods. In this study, a new dimensional, higher-order analytical solution for groundwater fluctuations is proposed by using the homotopy perturbation method with a virtual perturbation parameter. Parameter-expansion method is used to remove the secular terms generated during the solution process. The solution does not require any predefined perturbation parameter and valid for higher values of amplitude parameter A/D, where A is the amplitude of the tide and D is the aquifer thickness.
Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
Selva Balaji
SB
Munusamy
Anirban
A
Dhar
D060587:Groundwater; D008962:Models, Theoretical