Stochastic reaction-diffusion phenomena in porous media with nonlinear kinetics: Effects of quenched porosity fluctuations

Physical Review Letters

Volumn 93, Issue 18, 2004, Pages

  L'Heureux, Ivan ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONCENTRATION (PROCESS); DIFFUSION; EQUATIONS OF MOTION; POROUS MATERIALS; QUENCHING; REACTION KINETICS; STOCHASTIC CONTROL SYSTEMS;

CONTINUUM EQUATIONS; MOLECULAR DIFFUSIONS; NONLINEAR KINETICS; POROSITY DISTRIBUTIONS;

POROSITY;

EID: 19744382284     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.180602     Document Type: Article

References (14)

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3. Y. Bachmat and J. Bear, Transp. Porous Media 1, 213 (1986); 1, 241 (1986); S. Whitaker, The Method of Volume Averaging (Kluwer, Dordrecht, 1999).
4. See, e.g., L.W. Gelhar, Stochastic Subsurface Hydrology (Prentice Hall, Englewood Cliffs, 1993); M. Sahimi, Comput. Geosci. 26, 877 (2000); M. Saadatfar and M. Sahimi, Phys. Rev. E 65, 036116 (2002).
5. See, e.g., L.W. Gelhar, Stochastic Subsurface Hydrology (Prentice Hall, Englewood Cliffs, 1993); M. Sahimi, Comput. Geosci. 26, 877 (2000); M. Saadatfar and M. Sahimi, Phys. Rev. E 65, 036116 (2002).
6. See, e.g., L.W. Gelhar, Stochastic Subsurface Hydrology (Prentice Hall, Englewood Cliffs, 1993); M. Sahimi, Comput. Geosci. 26, 877 (2000); M. Saadatfar and M. Sahimi, Phys. Rev. E 65, 036116 (2002).
7. Examples may be found in Nonlinear Dynamics and Control in Process Engineering-Recent Advances, edited by G. Continillo, S. Crescitelli, and M. Giona (Springer, Milano, 2002).
8. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
9. C. Meile, P. Van Cappellen, and K. Tuncay, in Abstracts of the American Society of Limnology and Oceanography Meeting, Honolulu, February 2004 (unpublished).
10. Diagenesis refers to the ensemble of transport and biogeochemical processes that take place in sediments.
11. B. P. Boudreau, Diagenetic Models and Their Implementation (Springer, Berlin, 1997).
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13. See, e.g., D. Forster, Hydrodynamics Fluctuations, Broken Symmetry, and Correlation Functions (Benjamin-Cummings, Reading, Massachusetts, 1977.
14. W. H. Press, S. A. Teukolsky, W.T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran (Cambridge University Press, Cambridge, England, 1992).