On a miscible displacement model in porous media flow with measure data

2014/03/05 by Jérôme Droniou, Jerome Droniou, Droniou, Jerome +2
Computer Science · Engineering · Environmental Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Groundwater flow and contamination studies #math.AP

paper · pdf · doi:10.48550/arxiv.1403.1007

arxiv created 2014/03/05 · openalex publication_date 2014/03/05 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the existence of a solution to a non-linearly coupled elliptic-parabolic system of PDEs describing the single-phase, miscible displacement of one incompressible fluid by another in a porous medium. We consider a velocity-dependent diffusion-dispersion tensor and model the action of injection and production wells by measures on the domain. We obtain the solution by passing to the limit on problems with regularised well data.

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