Travelling wave behaviour of crystal dissolution in porous media flow

Van Duijn CJ, Knabner P (1997)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1997

Journal

European Journal of Applied Mathematics Cambridge University Press

Publisher: Cambridge University Press (CUP)

Book Volume: 8

Pages Range: 49-72

Journal Issue: 1

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_DuijnKn_TravWaveBehavOfCrystDissInPMflow

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→∞and D→0 and we obtain expressions for the rate of convergence. We also present some numerical results.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Centrum Wiskunde & Informatica (CWI) NL Netherlands (NL)

How to cite

APA:

Van Duijn, C.J., & Knabner, P. (1997). Travelling wave behaviour of crystal dissolution in porous media flow. European Journal of Applied Mathematics, 8(1), 49-72.

MLA:

Van Duijn, C. J. (Hans), and Peter Knabner. "Travelling wave behaviour of crystal dissolution in porous media flow." European Journal of Applied Mathematics 8.1 (1997): 49-72.

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