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

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Abstract

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.

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Authors and Affiliations

  1. Department of Computer Science, University of the Federal Armed Forces Munich, Germany

    Marián Slodička

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  1. Marián Slodička
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Correspondence to Marián Slodička.

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Slodička, M. Mathematical Treatment of Point Sources in a Flow Through Porous Media Governed by Darcy's Law. Transport in Porous Media 28, 51–67 (1997). https://doi.org/10.1023/A:1006598701763

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  • DOI: https://doi.org/10.1023/A:1006598701763

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