Level set simulation of coupled advection-diffusion and pore structure evolution due to mineral precipitation in porous media

Water Resources Research

Volumn 44, Issue 12, 2008, Pages

  Li, Xiaoyi ^a   Huang, Hai ^a   Meakin, Paul ^a  

^a IDAHO NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; BUBBLES (IN FLUIDS); CAPILLARITY; CELLULAR AUTOMATA; DIFFUSION; FLOW SIMULATION; LEVEL MEASUREMENT; LIQUIDS; MINERALOGY; MINERALS; PATTERN RECOGNITION SYSTEMS; POROUS MATERIALS; SILICA; SILICATE MINERALS; SOLUTE TRANSPORT; TRANSPORT PROPERTIES; TWO DIMENSIONAL;

ADVECTION - DIFFUSIONS; BOLTZMANN SIMULATIONS; FAST REACTIONS; FLOW CONDITIONS; FLUID FLOWS; FRACTURE APERTURES; FULLY-COUPLED; GRAIN SURFACES; INTERFACE TRACKING; LEVEL SET METHODS; LEVEL SET SIMULATIONS; LEVEL SETS; LEVEL-SET APPROACHES; MINERAL PRECIPITATIONS; PERMEABILITY REDUCTIONS; PIXEL REPRESENTATIONS; PORE GEOMETRIES; PORE-SCALE SIMULATIONS; POROUS MEDIAS; POROUS MEDIUMS; PRECIPITATION PROCESS; PREFERENTIAL FLOWS; REACTIVE FLOWS; REACTIVE SOLUTES; SIMULATION RESULTS; SMALL REDUCTIONS; SOLID GRAINS; STRUCTURE EVOLUTIONS; SUB GRIDS; TRANSPORT PROCESS;

REACTION RATES;

ADVECTION; CELLULAR AUTOMATON; DIFFUSION; FLUID FLOW; PERMEABILITY; POROUS MEDIUM; PRECIPITATION (CHEMISTRY); SOLUTE TRANSPORT;

EID: 59649127362     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006742     Document Type: Article

References (52)

1. Al-Rawahi, N., and G. Tryggvason (2002), Numerical simulation of dendritic solidification with convection: Two-dimensional geometry, J. Comput. Phys., 180, 471-496, doi:10.1006/jcph.2002.7092.
2. Al-Rawahi, N., and G. Tryggvason (2004), Numerical simulation of dendritic solidification with convection: Three-dimensional flow, J. Comput. Phys., 194, 677-696, doi:10.1016/j.jcp.2003.09.020.
3. Bekri, S., J. F. Thovert, and P. M. Adler (1995), Dissolution of porous-media, Chem. Eng. Sci., 50, 2765-2791, doi:10.1016/0009-2509(95) 00121-K.
4. Bekri, S., J. F. Thovert, and P. M. Adler (1997), Dissolution and deposition in fractures, Eng. Geol. Amsterdam, 48, 283-308, doi:10.1016/S0013-7952(97)00044-6.
5. Berkowitz, B., and J. Y. Zhou (1996), Reactive solute transport in a single fracture, Water Resour. Res., 32, 901-913, doi:10.1029/95WR03615.
6. Bernabé, Y., W. F. Brace, and B. Evans (1982), Permeability, porosity and pore geometry of hot-pressed calcite, Mech. Mater., 1, 173-183, doi:10.1016/0167-6636(82)90010-2.
7. Borisova, E. A., and P. M. Adler (2005), Deposition in porous media and clogging on the field scale, Phys. Rev. E, 71, 1-19, doi:10.1103/ PhysRevE.71.016311.
8. Burns, P. C., and A. L. Klingensmith (2006), Uranium mineralogy and Neptunium mobility, Elements, 2, 351-356, doi: 10.2113/gselements.2.6. 351.
9. Detwiler, R. L., R. J. Glass, and W. L. Bourcier (2003), Experimental observations of fracture dissolution: The role of Peclet number on evolving aperture variability, Geophys. Res. Lett., 30(12), 1648, doi:10.1029/2003GL017396.
10. Dijk, P. E., B. Berkowitz, and Y. Yechieli (2002), Measurement and analysis of dissolution patterns in rock fractures, Water Resour. Res., 38(2), 1013, doi:10.1029/2001WR000246.
11. Economides, M. J., and K. G. Nolte (2000), Reservoir Stimulation, John Wiley, Hoboken, NJ.
12. Fedkiw, R. P., R. J. Glass, and W. L. Bourcier (1999), A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method), J. Comput. Phys., 152, 457-492, doi:10.1006/jcph.1999.6236.
13. Fowler, A. C., and X. S. Yang (1999), Pressure solution and viscous compaction in sedimentary basins, J. Geophys. Res., 104, 12,989-12,997, doi:10.1029/1998JB900029.
14. Huang, H., P. Meakin, and M. Liu (2005a), Computer simulation of two-phase immiscible fluid motion in unsaturated complex fractures using a volume of fluid method, Water Resour. Res., 41, W12413, doi:10.1029/2005WR004204.
15. Huang, H., P. Meakin, M. Liu, and G. E. McCreery (2005b), Modeling of multiphase fluid motion in fracture intersections and fracture networks, Geophys. Res. Lett., 32, L19402, doi:10.1029/2005GL023899.
16. Kang, Q. J., D. Zhang, S. Chen, and X. He (2002), Lattice Boltzmann simulation of chemical dissolution in porous media, Phys. Rev. E, 65, 1-8, doi:10.1103/PhysRevE.65.036318.
17. Kang, Q. J., D. Zhang, and S. Chen (2003), Simulation of dissolution and precipitation in porous media, J. Geophys. Res., 108(B10), 2505, doi:10.1029/2003JB002504.
18. Kang, Q. J., D. Zhang, P. C. Lichtner, and I. N. Tsimpanogiannis (2004), Lattice Boltzmann model for crystal growth from supersaturated solution, Geophys. Res. Lett., 31, L21604, doi:10.1029/2004GL021107.
19. Kim, S. G., et al. (2002), Phase field modeling of directional eutectic solidification and comparison with experiments, Int. J. Cast Metals Res., 15, 241-245.
20. Kim, S. G., W. T. Kim, T. Suzuki, and M. Ode (2004), Phase-field modeling of eutectic solidification, J. Crystal Growth, 261, 135-158, doi:10.1016/j.jcrysgro.2003.08.078.
21. Lendvay, J. M., et al. (2003), Bioreactive barriers: A comparison of bioaugmentation and biostimulation for chlorinated solvent remediation, Environ. Sci. Technol., 37, 1422-1431, doi:10.1021/es025985u.
22. Li, X. Y., and K. Sarkar (2005), Drop dynamics in an oscillating extensional flow at finite Reynolds numbers, Phys. Fluids, 17, 1-13, doi:10.1063/1.1844471.
23. Lichtner, P. C. (1996), Continuum formulation of multicomponent- multiphase reactive transport, Reactive Transp. Porous Media, 34, 1-81.
24. Mandelbrot, B. B. (1984), The Fractal Geometry of Nature, W. H. Freeman, New York.
25. Marella, S., S. Krishnan, H. Liu, and H. S. Udaykumar (2005), Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations, J. Comput. Phys., 210, 1-31, doi:10.1016/j.jcp. 2005.03.031.
26. Meakin, P. (1998), Fractals, Scaling and Growth Far From Equilibrium, Cambridge Univ. Press, New York.
27. Mourzenko, V. V., S. Békri, J.-F. Thovert, and P. M. Adler (1996), Deposition in fractures, Chem. Eng. Commun., 148, 431-464, doi:10.1080/00986449608936530.
28. Mullins, W. W., and R. F. Sekerka (1963), Morphological stability of a particle growing by diffusion or heat flow, J. Appl. Phys., 34, 323, doi:10.1063/1.1702607.
29. Mullins, W. W., and R. F. Sekerka (1964), Stability of planar interface during solidification of dilute binary alloy, J. Appl. Phys., 35, 444, doi:10.1063/1.1713333.
30. Oldenburg, C. M., and F. J. Spera (1991), Numerical modeling of solidification and convection in a viscous pure binary eutectic system, Int. J. Heat Mass Transfer, 34, 2107-2121, doi:10.1016/0017-9310(91)90221-Y.
31. Osher, S., and R. P. Fedkiw (2001), Level set methods: An overview and some recent results, J. Comput. Phys., 169, 463-502, doi:10.1006/jcph. 2000.6636.
32. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1992), Numerical Recipes in FORTRAN: The Art of Scientific Computing, Cambridge Univ. Press, New York.
33. Raiswell, R., and Q. J. Fisher (2000), Mudrock-hosted carbonate concretions: A review of growth mechanisms and their influence on chemical and isotopic composition, J. Geol. Soc., 157, 239-251.
34. Rege, S. D., and H. S. Fogler (1989), Competition among flow, dissolution, and precipitation in porous-media, AIChE J., 35, 1177-1185, doi:10.1002/aic.690350713.
35. Salles, J., J. F. Thovert, and P. M. Adler (1993), Deposition in porous-media and clogging, Chem. Eng. Sci., 48, 2839-2858, doi:10.1016/0009-2509(93)80031-K.
36. Sarkar, K., and W. R. Schowalter (2001), Deformation of a two-dimensional drop at non-zero Reynolds number in time-periodic extensional flows: Numerical simulation, J. Fluid Mech., 436, 177-206.
37. Sethian, J. A., and P. Smereka (2003), Level set methods for fluid interfaces, Annu. Rev. Fluid Mech., 35, 341-372, doi:10.1146/annurev. fluid.35.101101.161105.
38. Short, M. B., J. C. Baygents, J. W. Beck, D. A. Stone, R. S. Toomey III, and R. E. Goldstein (2005), Stalactite growth as a free-boundary problem: A geometric law and its platonic ideal, Phys. Rev. Lett., 94, 1-4, doi:10.1103/PhysRevLett.94.018501.
39. Steefel, C. I., D. J. DePaolo, and P. C. Lichtner (2005), Reactive transport modeling: An essential tool and a new research approach for the Earth sciences, Earth Planet. Sci. Lett., 240, 539-558, doi:10.1016/j.epsl. 2005.09.017.
40. Sussman, M., P. Smereka, and S. Osher (1994), A level set approach for computing solutions to incompressible 2-phase flow, J. Comput. Phys., 114, 146-159, doi:10.1006/jcph.1994.1155.
41. Sussman, M., E. Fatemi, P. Smereka, and S. Osher (1998), An improved level set method for incompressible two-phase flows, Comput. Fluids, 27, 663-680, doi:10.1016/S0045-7930(97)00053-4.
42. Tartakovsky, A. M., P. Meakin, T. D. Scheibe, and R. M. Eichler West (2007a), Simulations of reactive transport and precipitation with smoothed particle hydrodynamics, J. Comput. Phys., 222, 654-672, doi:10.1016/j.jcp.2006.08.013.
43. Tartakovsky, A. M., P. Meakin, T. D. Scheibe, and B. D. Wood (2007b), A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media, Water Resour. Res., 43, W05437, doi:10.1029/2005WR004770.
44. Udaykumar, H. S., and L. Mao (2002), Sharp-interface simulation of dendritic solidification of solutions, Int. J. Heat Mass Transfer, 45, 4793-4808, doi:10.1016/S0017-9310(02)00194-1.
45. Udaykumar, H. S., R. Mittal, and W. Shyy (1999), Computation of solid-fluid phase fronts in the sharp interface limit on fixed grids, J. Comput. Phys., 153, 535-574, doi:10.1006/jcph.1999.6294.
46. Udaykumar, H. S., R. Mittal, P. Rampunggoon, and A. Khanna (2001), A sharp interface cartesian grid method for simulating flows with complex moving boundaries, J. Comput. Phys., 174, 345-380, doi:10.1006/jcph.2001.6916.
47. Wellman, D. M., J. P. Icenhower, and A. T. Owen (2006), Comparative analysis of soluble phosphate amendments for the remediation of heavy metal contaminants: Effect on sediment hydraulic conductivity, Environ. Chem., 3(3), 219-224, doi:10.1071/EN05023.
48. Witten, T. A., and L. M. Sander (1981), Diffusion-limited aggregation, a kinetic critical phenomenon, Phys. Rev. Lett, 47, 1400-1403, doi:10.1103/PhysRevLett.47.1400.
49. 2 disposal in deep arenaceous formations, J. Geophys. Res., 108(B2), 2071, doi:10.1029/2002JB001979.
50. 2 disposal by mineral trapping in deep aquifers, Appl. Geochem., 19, 917-936, doi:10.1016/j.apgeochem.2003.11.003.
51. Yang, Y., and H. S. Udaykumar (2005), Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions, J. Comput. Phys., 210, 55-74, doi:10.1016/j.jcp.2005.04.024.
52. Zhu, W., C. David, and T. Wong (1995), Network modeling of permeability evolution during cementation and hot isostatic pressing, J. Geophys. Res., 100, 15,451-15,464, doi:10.1029/95JB00958.