Mathematical Analysis of Solute Transport with Linear Sorption and Sedimentation in Porous Media via Olayiwola’s Generalized Polynomial Approximation Method

Solute transport plays a significant role in biogeochemical cycling and many other processes and can be dominated by advection, diffusion, or dispersion, or by any combination. Solutes are dissolved matters in an ecological media. Hence, the objective of this paper is to present a solution for Advection-dispersion equation (ADE) to analyses solute transport with linear sorption and sedimentation in porous media via the Olayiwola‟s generalized polynomial approximation method (OGPAM). The results obtained were presented graphically and discussed. It was observed that increase in sedimentation decrease the solute concentration. Also, the dispersion coefficient indicates that solute concentration which is the amount of particle in the water decreases from the initial point and later becomes uniform a long distance and increases at later time. The profile pattern of the present work closely agreed with the analytical solution obtained from the existing literatures.