Hybrid models of reactive transport in porous and fractured media

Advances in Water Resources

Volumn 34, Issue 9, 2011, Pages 1140-1150

  Battiato, Ilenia ^a   Tartakovsky, Daniel M ^a   Tartakovsky, Alexandre M ^b   Scheibe, T D ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b PACIFIC NORTHWEST NATIONAL LABORATORY   (United States)

Author keywords

Advection dispersion reaction; Channel flow; Hybrid model; Multiphysics; Porous media; Taylor dispersion

Indexed keywords

ADVECTION-DISPERSION-REACTION; FLOW AND TRANSPORT; FRACTURED MEDIA; HYBRID MODEL; HYBRID NUMERICAL METHOD; INTERNAL BOUNDARY; MULTI-PHYSICS; MULTISCALE MODELS; REACTIVE TRANSPORT; TAYLOR DISPERSION;

ALGORITHMS; CHANNEL FLOW; DISPERSIONS; POROUS MATERIALS;

NUMERICAL METHODS;

ALGORITHM; BOUNDARY CONDITION; CHANNEL FLOW; CONTINUUM MECHANICS; DARCY LAW; FLOW MODELING; FRACTURED MEDIUM; POROUS MEDIUM; REACTIVE TRANSPORT;

EID: 80052840955     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.01.012     Document Type: Article

References (24)

1. Alexander F.J., Garcia A.L., Tartakovsky D.M. Algorithm refinement for stochastic partial differential equations: 1. Linear diffusion. J Comput Phys 2002, 182:47-66.
2. Alexander F.J., Garcia A.L., Tartakovsky D.M. Algorithm refinement for stochastic partial differential equations: II. Correlated systems. J Comput Phys 2005, 207(2):769-787.
3. Alexander F.J., Garcia A.L., Tartakovsky D.M. Noise in algorithm refinement methods. Comput Sci Eng 2005, 7(3):32-38.
4. Auriault J., Adler P.M. Taylor dispersion in porous media: analysis by multiple scale expansions. Adv Water Resour 1995, 4(18):217-226.
5. Battiato I., Tartakovsky D.M. Applicability regimes for macroscopic models of reactive transport in porous media. J Contam Hydrol 2011, 120-121:18-26. 10.1016/j.jconhyd.2010.05.005.
6. Battiato I., Tartakovsky D.M., Tartakovsky A.M., Scheibe T. On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media. Adv Water Resour 2009, 32:1664-1673. 10.1016/j.advwatres.2009.08.008.
7. Christie M.A. Upscaling for reservoir simulation. J Petrol Technol 1996, 48:1004-1010.
8. de Marsily G. Quantitative hydrogeology 1986, Academic Press, San Diego, California.
9. Efendief Y., Durlofsky L.J. A generalized convection-diffusion model for subgrid transport in porous media. Multiscale Model Simulat 2003, 1(3):504-526.
10. Grisak G.E., Pickens J.F. Solute transport through fractured media, 1. The effect of matrix diffusion. Water Resour Res 1980, 16(4):719-730.
11. Grisak G.E., Pickens J.F., Cherry J.A. Solute transport through fractured media, 2. Column study of fractured till. Water Resour Res 1980, 16(4):731-739.
12. Hesse F., Radu F.A., Thullner M., Attinger S. Upscaling of the advection-diffusion-reaction equation with Monod reaction. Adv Water Resour 2009, 32:1336-1351. 10.1016/j.advwatres.2009.05.009.
13. Langlo P., Espedal M.S. Macrodispersion for two-phase, immiscible flow in porous media. Adv Water Resour 1994, 17:297-316.
14. Leemput P., Vandekerckhove C., Vanroose W., Roose D. Accuracy of hybrid lattice Boltzmann/finite difference schemes for reaction diffusion systems. Multiscale Model Simulat 2007, 6(3):838-857.
15. Meakin P., Tartakovsky A.M. Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media. Rev Geophys 2009, 47:RG3002. 10.1029/2008RG000263.
16. Mikelic A., Devigne V., Van Duijn C.J. Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. SIAM J Math Anal 2006, 38(4):1262-1287.
17. Neuman S.P., Tartakovsky D.M. Perspective on theories of anomalous transport in heterogeneous media. Adv Water Resour 2009, 32(5):670-680.
18. Smolarkiewicz P.K., Winter C.L. Pores resolving simulation of Darcy flows. J Comput Phys 2010, 229(9):3121-3133.
19. Spalding D.B. A novel finite-difference formulation for differential expressions involving both first and second derivatives. Int J Numer Methods Eng 1972, 4:551-559.
20. Sukop M.C., Thorne D.T. Lattice Boltzmann modeling: an introduction for geoscientists and engineers 2005, Springer, New York.
21. Tartakovsky A.M., Tartakovsky D.M., Meakin P. Stochastic Langevin model for flow and transport in porous media. Phys Rev Lett 2008, 101:044502.
22. Tartakovsky A.M., Tartakovsky D.M., Scheibe T.D., Meakin P. Hybrid simulations of reaction-diffusion systems in porous media. SIAM J Sci Comput 2008, 30(6):2799-2816.
23. Versteeg H.K., Malalasekera M. An introduction to computational fluid dynamics: the finite volume method 2007, Pearson Education Ltd., Harlow, England.
24. Wood B.D., Radakovich K., Golfier F. Effective reaction at a fluid-solid interface: applications to biotransformation in porous media. Adv Water Resour 2007, 30(6-7):1630-1647.