Subjects
-Tags
Irrigation and Hydraulic Engineering
Abstract
A nonlinear optimization problem based on both single and multiple objective management functions for sustainable utilization of heterogeneous coastal aquifers was formulated and solved. The sharp interface approach was assumed within this work. Finite Element Method (FEM) was applied on Sirack's formulation to simulate the hydraulic response of the steady slate heterogeneous aquifer under different objectives. The LU-decomposition method was exploited to inverse the conductance matrix, that enhanced the computation time. The constraint technique was used to simplify, without any approximation, the multi objective management problem to single objective management problem. Genetic Algorithm (GA) was used to solve the nonlinear optimization problem. A Fortran program was written and verified against a problem that has an analytical solution. A hypothetical example was solved for one and three objective functions. These func tions are maximum magnitude of extracted freshwater, minimum drop in water table level, and minimum increment in volume of intruded saltwater.
DOI
10.21608/bfemu.2021.140434
Keywords
Multiple Objectives, Coastal Heterogeneous Aquifer, Generic Algorithm, Sharp interface, Steady Flow, Finite element method, Strack's Formation
Authors
Affiliation
Irrigation and Hydraulic Department., Faculty of Civil Engineering., El-Mansoura University., Mansoura., Egypt.
Email
-Orcid
-Link
https://bfemu.journals.ekb.eg/article_140434.html
Detail API
https://bfemu.journals.ekb.eg/service?article_code=140434
Publication Title
MEJ. Mansoura Engineering Journal
Publication Link
https://bfemu.journals.ekb.eg/
MainTitle
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