Analytical Solution of Homogeneous Groundwater Flow Equation using Method of Separation of Variables

Lhoussaine El Mezouary, Samir Kabbaj, Bouabid El Mansouri

2021

Abstract

This paper presents an analytical solution for predicting the one-dimensional (1D) time-dependent groundwater flow profile in an unconfined system. This hydraulic charge prediction problem is modeled as a boundary value problem governed by the heat diffusion equations. The solution technic employs the separation of variables method, the results are compared to the numerical solution, and the solution displays a reasonable flow head during different periods.

Paper Citation

in Harvard Style

El Mezouary L., Kabbaj S. and El Mansouri B. (2021). Analytical Solution of Homogeneous Groundwater Flow Equation using Method of Separation of Variables. In Proceedings of the 2nd International Conference on Big Data, Modelling and Machine Learning - Volume 1: BML, ISBN 978-989-758-559-3, pages 143-147. DOI: 10.5220/0010729900003101

in Bibtex Style

@conference{bml21,
author={Lhoussaine El Mezouary and Samir Kabbaj and Bouabid El Mansouri},
title={Analytical Solution of Homogeneous Groundwater Flow Equation using Method of Separation of Variables},
booktitle={Proceedings of the 2nd International Conference on Big Data, Modelling and Machine Learning - Volume 1: BML,},
year={2021},
pages={143-147},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010729900003101},
isbn={978-989-758-559-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Big Data, Modelling and Machine Learning - Volume 1: BML,
TI - Analytical Solution of Homogeneous Groundwater Flow Equation using Method of Separation of Variables
SN - 978-989-758-559-3
AU - El Mezouary L.
AU - Kabbaj S.
AU - El Mansouri B.
PY - 2021
SP - 143
EP - 147
DO - 10.5220/0010729900003101