Langevin model for reactive transport in porous media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 2, 2010, Pages

  Tartakovsky, Alexandre M ^a  

^a PACIFIC NORTHWEST NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION DIFFUSION EQUATION; ADVECTIVE VELOCITY; CONTINUITY EQUATIONS; CONTINUUM MODEL; DARCY MODEL; DIFFUSIVE MIXING; DISPERSION COEFFICIENT; DISPERSION THEORY; EFFECTIVE DIFFUSION COEFFICIENTS; FLOW AND TRANSPORT; FLOW EQUATIONS; FLUID FLOW; LANGEVIN; LANGEVIN EQUATION; LANGEVIN MODELS; MECHANICAL DISPERSION; MIXING-CONTROLLED REACTION; MOLECULAR DIFFUSION; MULTICOMPONENTS; PORE-SCALE MODEL; POROUS MEDIUM; REACTIVE TRANSPORT; SCALE VELOCITY; STOCHASTIC TRANSPORT;

ADVECTION; COMPUTER SIMULATION; CONTINUUM MECHANICS; DIFFUSION; DISPERSIONS; FLOW OF FLUIDS; MIXING; PECLET NUMBER; POROUS MATERIALS; STOCHASTIC SYSTEMS; WHITE NOISE;

STOCHASTIC MODELS;

EID: 77955569629     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.026302     Document Type: Article

References (26)

1. A. M. Tartakovsky, D. M. Tartakovsky, and P. Meakin, Phys. Rev. Lett. 101, 044502 (2008). 10.1103/PhysRevLett.101.044502
2. J. Bear, Dynamics of Fluids in Porous Media (Dover, New York, 1988).
3. J. Li and D. Helm, Water Resour. Res. 34, 1675 (1998). 10.1029/98WR01208
4. D. Koch and J. Brady, J. Fluid Mech. 154, 399 (1985). 10.1017/S0022112085001598
5. J. Carvalho and J. Delgado, Chem. Eng. Sci. 54, 1121 (1999). 10.1016/S0009-2509(98)00324-8
6. A. Olsson and P. Grathwohl, J. Contam. Hydrol. 92, 149 (2007). 10.1016/j.jconhyd.2006.09.008
7. C. Knutson, A. Valocchi, and C. Werth, Adv. Water Resour. 30, 1421 (2007). 10.1016/j.advwatres.2006.05.012
8. O. Cirpka, E. Frind, and R. Helmig, J. Contam. Hydrol. 40, 159 (1999). 10.1016/S0169-7722(99)00044-3
9. A. M. Tartakovsky, G. D. Tartakovsky, and T. D. Scheibe, Adv. Water Resour. 32, 1674 (2009). 10.1016/j.advwatres.2009.08.012
10. P. Kitanidis, Water Resour. Res. 30, 2011 (1994). 10.1029/94WR00762
11. N. Van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, New York, 2001).
12. R. Maier, D. Kroll, R. Bernard, S. Howington, J. Peters, and H. Davis, Phys. Fluids 12, 2065 (2000). 10.1063/1.870452
13. J. H. Cushman, D. O'Malley, and M. Park, Phys. Rev. E 79, 032101 (2009). 10.1103/PhysRevE.79.032101
14. E. LaBolle, G. Fogg, and A. Tompson, Water Resour. Res. 32, 583 (1996). 10.1029/95WR03528
15. T. Le Borgne, M. Dentz, and J. Carrera, Phys. Rev. Lett. 101, 090601 (2008). 10.1103/PhysRevLett.101.090601
16. D. Fernàndez-Garcia, X. Sanchez-Vila, and T. Illangasekare, J. Contam. Hydrol. 57, 129 (2002). 10.1016/S0169-7722(01)00214-5
17. A. Tartakovsky and P. Meakin, J. Comput. Phys. 207, 610 (2005). 10.1016/j.jcp.2005.02.001
18. D. Benson and M. Meerschaert, Water Resour. Res. 44, W12201 (2008). 10.1029/2008WR007111
19. J. Monaghan, Rep. Prog. Phys. 68, 1703 (2005). 10.1088/0034-4885/68/8/R01
20. W. Welton and S. Pope, J. Comput. Phys. 134, 150 (1997). 10.1006/jcph.1997.5680
21. A. M. Tartakovsky and S. P. Neuman, Geophys. Res. Lett. 35, L21401 (2008). 10.1029/2008GL035895
22. A. Tartakovsky, P. Meakin, T. Scheibe, and B. Wood, Water Resour. Res. 43, W05437 (2007). 10.1029/2005WR004770
23. R. Aris, Proc. R. Soc. London, Ser. A 235, 67 (1956). 10.1098/rspa.1956.0065
24. R. Acharya, A. Valocchi, C. Werth, and T. Willingham, Water Resour. Res. 43, W10435 (2007). 10.1029/2007WR005969
25. T. Harter, Basic Concepts of Groundwater Hydrology (University of California, Berkeley, 2003).
26. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 2001), p. 81.