Advertisement

Transport in Porous Media

, Volume 19, Issue 1, pp 1–13 | Cite as

Modelling of the convective diffusion process with nonlinear sorption in multi-layered aquifer

  • A. Buikis
  • Z. Rusakevich
  • N. Ulanova
Article

Abstract

A model of the process of the contaminant convective diffusion with nonlinear sorption in one-layered aquifer and multi-layered, consisting of basic aquifers with an aquifer dividing them by, is considered here. A three-dimensional formulation of the problem with a special averaging is reduced to a two-dimensional one, allowing to investigate the interaction of aquifers taking into account the aquitard of arbitrary thickness, and its absence as well.

Key words

Contaminant ground water aquifer aquitard aquifuge multi-layered aquifer convection diffusion sorption numerical method approximation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bear, J. and Verruijt: 1987Modelling Groundwater Flow and Pollution, D. Reidel, Dordrecht, 1987.Google Scholar
  2. 2.
    Fried, J.: 19Ground Water Pollution, Elsevier, Amsterdam.Google Scholar
  3. 3.
    Roshal, A. A.: Mass transfer in two-layered porous media,App. Mech. Tech. Phys. 36–43.Google Scholar
  4. 4.
    Buikis, A.: 1990, Conservative spline-approximation of differencial equation with discontinuous coefficients (in Russian),Numerical Analysis and Mathematical Modelling, Banach Center Publ., 24, PWN, Warsaw, pp. 487–491.Google Scholar
  5. 5.
    MacCormack, R. W.: 1983, A numerical method to solve the equation of the compressible viscous flow (in Russian),Aerokosmicheskaja tehnika,4 114–122.Google Scholar
  6. 6.
    Buikis, A.: Filtration problem numerical solution for multilayered aquifers with an application of splines (in Russian),A Numerical Method for Solving the Problem of Multiphase Noncompressible Liquid Filtration, Novosibirsk, pp. 68–71.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • A. Buikis
    • 1
  • Z. Rusakevich
    • 1
  • N. Ulanova
    • 1
  1. 1.Institute of Mathematics of the Latvian Academy of SciencesThe University of LatviaRigaLatvia

Personalised recommendations