Asymptotic Solution of Fokker-Planck Equation Based on Darcy-Buckingham Approach in Unsaturated Soil

Abstract

The present study discusses one dimensional groundwater infiltration phenomenon in unsaturated soil. The mathematical formulation is developed using Dracy’s law, equation of continuity, and standard relations between diffusivity coefficient and hydraulic conductivity. We solved the obtained system using double power series method in the form of asymptotic expansion which represents moisture content in soil.