Travelling wave behaviour of crystal dissolution in porous media flow

C.J. Duijn, van, P. Knabner

    Research output: Contribution to journalArticleAcademicpeer-review

    22 Citations (Scopus)

    Abstract

    In this paper we present a model for crystal dissolution in porous media and analyse travelling wave solutions of the ensuing equations for a one-dimensional flow situation. We demonstrate the structure of the waves and we prove existence and uniqueness. The travelling wave description is characterized by a rate parameter k and a diffusion / dispersion parameter D. We investigate the limit processes as k -> 8 and D -> 0 and we obtain expressions for the rate of convergence. We also present some numerical results.
    Original languageEnglish
    Pages (from-to)49-72
    JournalEuropean Journal of Applied Mathematics
    Volume8
    Issue number1
    Publication statusPublished - 1997

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