Transport in Porous Media

, Volume 28, Issue 1, pp 51–67 | Cite as

Mathematical Treatment of Point Sources in a Flow Through Porous Media Governed by Darcy's Law

  • Marián SlodičkaEmail author


We consider stationary air flow in a porous medium caused by extraction wells and governed by Darcy's law. Point sinks are described by Dirac functions. We distinguish two different situations: locally continuous and discontinuous conductivity near the wells. In both cases, well-posedness is proved. We propose a finite-element scheme in the general case and show the convergence of the approximated solution to the exact one.

point sources Darcy's law jumping conductivity discrete maximum principle gas flow wells 


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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of the Federal Armed Forces MunichGermany

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