Overview

Original Research

ANALYTICAL MODEL SOLUTION OF THE GROUNDWATER FLOW EQUATION

LHOUSSAINE EL MEZOUARY, SAMIR KABBAJ, BOUABID EL MANSOURI

Vol 16, No 02 ( 2021 )   |  DOI: 10.5281/zenodo.6552448   |   Author Affiliation: Laboratory of mathematical analysis, non-commutative geometry, and applications, Faculty of Science, Ibn Tofail University, Campus Maamora, BP. 133 1400 Kenitra, Morocco Geosciences; Laboratory of Natural Resources, hydroinformatics Team, Faculty of Sciences, University Ibn Tofail, Campus Maamora, BP. 133 1400 Kenitra, Morocco.   |   Licensing: CC 4.0   |   Pg no: 36-57   |   Published on: 12-02-2021

Abstract

This paper presents an analytical model solution for the prediction of the one-dimensional (1D) time-dependent groundwater flow profile in an unconfined system. Groundwater level can be estimated by using the proposed solution with several input data, such as permeability layer thicknesses, specific yield. This hydraulic charge prediction problem is modeled as a boundary value problem governed by the classic heat diffusion equations. The solution technique employs the separation of variables method and the result are compared to the 2 implicit numerical solutions of CrankNicholson and FTCS, the solution displays a reasonable groundwater flow head in contexts of sand-gravel aquifer during different time periods.

Keywords

Variable Separation, Groundwater Equation, Diffusion Equation, Porous Media