A geometric approach to fingering instabilities for reaction fronts in fully coupled geochemical systems

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 57, Issue 1, 1996, Pages 29-40

  Crompton, Stephen ^a   Grindrod, Peter ^a  

^a QuantiSci   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHEMICAL REACTIONS; DIFFUSION; GEOCHEMISTRY; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; POROSITY; POROUS MATERIALS; STABILITY; WAVEFRONTS;

ADVECTION; FINGERING INSTABILITY; GEOCHEMICAL SYSTEMS; REACTION FRONTS;

GEOMETRY;

EID: 0030206559     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/57.1.29     Document Type: Article

References (9)

1. ORTOLEVA, P., MERINO, E., CHADAM, J., & SEN, A., 1987. Geochemical self-organization II: The reactive-infiltration instability. Am J. Sci. 287, 1008-40.
2. CHEN, W., & ORTOLEVA, P., 1990. Reaction front fingering in carbonate cemented sandstones. In: Self-organization in geological systems: Proceedings of a Workshop, 26-30 June 1988, University of California Santa Barbara (P. Ortoleva, B. Hallet, A. McBirney, I. Meshri, R. Reeder, & P. Williams, eds.). Earth Sci. Rev. 29, 183-98.
3. CHEN, W., & ORTOLEVA, P., 1992. Development of complex reaction front morphologies through non-linear fluid-rock interaction: Modelling, asymptotics and numerical studies. In: Modelling and Analysis of Diffusive and Advective Processes in Geosciences (W. E. Fitzgibbon & Mary Fannett Wheeler, eds.), pp. 52-70. SIAM.
4. GRINDROD, P., 1991. Patterns and Waves in Reaction-diffusion Equations. Oxford University Press.
5. GRINDROD, P., 1994. Sharp fronts within geochemical transport problems. Proc. MRS Conf., Kyoto, 1994.
6. GRINDROD, P., 1995. Geometry and motion of sharp fronts within geochemical transport problems. Proc. R. Soc. Lond. A 449, 123-138.
7. GRINDROD, P., 1992. Some reactive transport, dispersal and flow problems associated with geological disposal of waste. Proc. Twelfth Conf. on O & PDEs, Dundee.
8. CHADAM, J. M., & RASMASSEN, H. (eds.), 1993. Emerging Applications in Free Boundary Problems. Pitman Research Notes in Mathematical Sciences 280, Longman Scientific and Technical.
9. CHADAM, J. M., & RASMASSEN, H. (eds.), 1993. Free Boundary Problems in Fluid Flow With Applications 282. Longman Scientific and Technical.