SIMULATION OF THE BEHAVIOR OF THE WATER TABLE IN A COASTAL AQUIFER SYSTEM FINITE ELEMENT

Authors

  • Luis Lara Romero
  • obidio Rubio Mercedes

DOI:

https://doi.org/10.17268/sel.mat.2016.01.08

Keywords:

Finite element, method of Galerkin, confined aquifer

Abstract

This paper presents the application of Galerkin method to discretize the model equation of groundwater ow in a conned aquifer semipermeable with tidal boundary conditions on one of its
borders, the other borders remain constant. For the simulations was generated a numerical program, Ground Water Finite Element Method, which implements the method of nite elements with
triangular elements with three nodes and a degree of freedom per node.

References

M. Anderson and W. Woessner. Appied Groundwater Modeling. Simulation of Flow and Advective Transport,

Academic Press, San Diego, USA, 1992.

J. Alberty, C. Carstensen and A. Funken. Remarks around 50 lines of Matlab: Short nite element implementation. Numerical Algorithms 1999 20: 117-137.

J. Bear. Hydraulics of Groundwater, McGraw-Hill Inc, USA, 1979.

J. Bear and A. Verruijt. Modeling Groundwater Flow and Pollution, Published by D. Reidel, Holland, 1978.

H. Borouchaki and P. Louis. Aspects of 2-D Delaunay mesh generation, International Journal for Numerical

Methods in Engineering 1997; 40: 1957-1975.

H. Borouchaki and P. Louis. Optimal Delaunay point insertion, International Journal for Numerical Methods in Engineering 1996; 39: 3407-3437.

M.-D Chuang and H.-D Yeh . An analytical solution for the head distribution in a tidal leaky conned aquifer extending an infinite distance under the sea, Advances in Water Resources (2006), doi:10.1016/j.advwatres.2006.05.011.

C. Cuvilier. A. Finite Element Methods and Navier-Stokes-Equations, Reidel Publishing Company, Dordrech, Holland, 1986.

J. Delleur. The Handbook of Groundwater Engineering . Edit. Editor-in-Chief Jacques W. Delleur, Boca Raton: CRC Press LLC, 1999.

E. Dogrul and T. Kadir. Flow computational and mass balance in Galerkin Finite-Element groundwater models, Journal of Hydraulic Engineering. 2006; 132(11): 1206-1214.

Downloads

Published

2016-06-30

How to Cite

Lara Romero, L., & Rubio Mercedes, obidio. (2016). SIMULATION OF THE BEHAVIOR OF THE WATER TABLE IN A COASTAL AQUIFER SYSTEM FINITE ELEMENT. Selecciones Matemáticas, 3(01), 55-66. https://doi.org/10.17268/sel.mat.2016.01.08

Issue

Vol. 3 No. 01 (2016): January - July

Section

Articles

License

The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.