Theoretical analyses of nonaqueous phase liquid dissolution-induced instability in two-dimensional fluid-saturated porous media

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 34, Issue 17, 2010, Pages 1767-1796

  Zhao, Chongbin ^a   Hobbs, B E ^b,c   Ord, A ^b,c  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^c CSIRO   (Australia)

Author keywords

Front instability; NAPL dissolution; Nonaqueous phase liquid; Porous media; Reactive mass transport; Residual saturation

Indexed keywords

FRONT INSTABILITY; NAPL DISSOLUTION; NONAQUEOUS PHASE LIQUIDS; POROUS MEDIA; REACTIVE MASS; RESIDUAL SATURATION;

DISPERSIONS; LINEAR STABILITY ANALYSIS; LIQUIDS; MASS TRANSFER; NUMERICAL METHODS; POROUS MATERIALS; TWO DIMENSIONAL;

DISSOLUTION;

DIMENSIONLESS NUMBER; DISSOLUTION; MASS TRANSPORT; NONAQUEOUS PHASE LIQUID; NUMERICAL METHOD; POROUS MEDIUM; REACTIVE TRANSPORT; SOLUTE; STABILITY ANALYSIS; THEORETICAL STUDY; TWO-DIMENSIONAL FLOW;

EID: 78049509590     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.880     Document Type: Article

References (41)

1. Miller CT, Poirier-McNeil MM, Mayer AS. Dissolution of trapped nonaqueous phase liquids: mass transfer characteristics. Water Resources Research 1990; 26:2783-2796.
2. Miller CT, Christakos TG, Imhoff PT, McBride JF, Pedit JA, Trangenstein JA. Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches. Advances in Water Resources 1998; 21:77-120.
3. Geller JT, Hunt JR. Mass transfer from nonaqueous phase organic liquids in water-saturated porous media. Water Resources Research 1993; 29:833-845.
4. Powers SE, Abriola LM, Weber Jr WJ. An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: transient mass transfer rates. Water Resources Research 1994; 30:321-332.
5. Imhoff PT, Jaffe PR, Pinder GF. An experimental study of complete dissolution of a nonaqueous phase liquid in saturated porous media. Water Resources Research 1994; 30:307-320.
6. Imhoff PT, Thyrum GP, Miller CT. Dissolution fingering during the solubilization of nonaqueous phase liquids in saturated porous media: 2. Experimental observations. Water Resources Research 2002; 32:1929-1942.
7. Imhoff PT, Farthing MW, Gleyzer SN, Miller CT. Evolving interface between clean and nonaqueous phase liquid (NAPL)-contaminated regions in two-dimensional porous media. Water Resources Research 2002; 38:1093-1106.
8. Soerens TS, Sabatini DA, Harwell JH. Effects of flow bypassing and nonuniform NAPL distribution on the mass transfer characteristics of NAPL dissolution. Water Resources Research 1998; 34:1657-1673.
9. Willson CS, Hall JL, Miller CT, Imhoff PT. Factors affecting bank formation during surfactant-enhanced mobilization of residual NAPL. Environmental Science and Technology 1999; 33:2440-2446.
10. Seyedabbasi MA, Farthing MW, Imhoff PT, Miller CT. The influence of wettability on NAPL dissolution fingering. Advances in Water Resources 2008; 31:1687-1696.
11. Imhoff PT, Miller CT. Dissolution fingering during the solubilization of nonaqueous phase liquids in saturated porous media: 1. Model predictions. Water Resources Research 1996; 32:1919-1928.
12. Steefel CI, Lasaga AC. Evolution of dissolution patterns permeability change due to coupled flow and reaction. In Chemical Modeling in Aqueous Systems II, Melchior DC, Basset RL (eds), American Chemical Society Symposium Series, vol. 416. American Chemical Society: Washington, 1990; 212-225.
13. Steefel CI, Lasaga AC. A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution reactions with application to reactive flow in single phase hydrothermal systems. American Journal of Science 1994; 294:529-592.
14. Yeh GT, Tripathi VS. A model for simulating transport of reactive multispecies components: model development and demonstration. Water Resources Research 1991; 27:3075-3094.
15. Raffensperger JP, Garven G. The formation of unconformity-type uranium ore deposits: coupled hydrochemical modelling. American Journal of Science 1995; 295:639-696.
16. Schafer D, Schafer W, Kinzelbach W. Simulation of reactive processes related to biodegradation in aquifers: 1. Structure of the three-dimensional reactive transport model. Journal of Contaminant Hydrology 1998; 31:167-186.
17. Schafer D, Schafer W, Kinzelbach W. Simulation of reactive processes related to biodegradation in aquifers: 2. Model application to a column study on organic carbon degradation. Journal of Contaminant Hydrology 1998; 31:187-209.
18. Xu TF, Samper J, Ayora C, Manzano M, Custodio E. Modelling of non-isothermal multi-component reactive transport in field scale porous media flow systems. Journal of Hydrology 1999; 214:144-164.
19. Ormond A, Ortoleva P. Numerical modeling of reaction-induced cavities in a porous rock. Journal of Geophysical Research 2000; 105:16737-16747.
20. Alt-Epping P, Smith LL. Computing geochemical mass transfer and water/rock ratios in submarine hydrothermal systems: implications for estimating the vigour of convection. Geofluids 2001; 1:163-181.
21. Zhao C, Xu TP, Valliappan S. Numerical modeling of mass transport problems in porous media: a review. Computers and Structures 1994; 53:849-860.
22. Zhao C, Hobbs BE, Mühlhaus HB. Finite element modelling of temperature gradient driven rock alteration and mineralization in porous rock masses. Computer Methods in Applied Mechanics and Engineering 1998; 165:175-186.
23. Zhao C, Hobbs BE, Mühlhaus HB, Ord A. Finite element modelling of rock alteration and metamorphic process in hydrothermal systems. Communications in Numerical Methods in Engineering 2001; 17:833-843.
24. Zhao C, Hobbs BE, Mühlhaus HB, Ord A, Lin G. Finite element modeling of three-dimensional steady-state convection and lead/zinc mineralization in fluid-saturated rocks. Journal of Computational Methods in Science and Engineering 2003; 3:73-89.
25. Zhao C, Hobbs BE, Ord A, Peng S, Mühlhaus HB, Liu L. Numerical modeling of chemical effects of magma solidification problems in porous rocks. International Journal for Numerical Methods in Engineering 2005; 64:709-728.
26. Zhao C, Hobbs BE, Hornby P, Ord A, Peng S. Numerical modelling of fluids mixing, heat transfer and non-equilibrium redox chemical reactions in fluid-saturated porous rocks. International Journal for Numerical Methods in Engineering 2006; 66:1061-1078.
27. Nield DA, Bejan A. Convection in Porous Media. Springer: New York, 1992.
28. Zhao C, Hobbs BE, Ord A. Convective and Advective Heat Transfer in Geological Systems. Springer: Berlin, 2008.
29. Chadam J, Hoff D, Merino E, Ortoleva P, Sen A. Reactive infiltration instabilities. IMA Journal of Applied Mathematics 1986; 36:207-221.
30. Chadam J, Ortoleva P, Sen A. A weekly nonlinear stability analysis of the reactive infiltration interface. IMA Journal of Applied Mathematics 1988; 48:1362-1378.
31. Ortoleva P, Chadam J, Merino E, Sen A. Geochemical self-organization II: the reactive-infiltration instability. American Journal of Science 1987; 287:1008-1040.
32. Renard F, Gratier JP, Ortoleva P, Brosse E. Bazin B. Self-organization during reactive fluid flow in a porous medium. Geophysical Research Letters 1998; 25:385-388.
33. Imhoff PT, Farthing MW, Miller CT. Modeling NAPL dissolution fingering with upscaled mass transfer rate coefficients. Advances in Water Resources 2003; 26:1097-1111.
34. Chen JS, Liu CW. Numerical simulation of the evolution of aquifer porosity and species concentrations during reactive transport. Computers and Geosciences 2002; 28:485-499.
35. Chen JS, Liu CW, Lai GX, Ni CF. Effects of mechanical dispersion on the morphological evolution of a chemical dissolution front in a fluid-saturated porous medium. Journal of Hydrology 2009; 373:96-102.
36. Zhao C, Hobbs BE, Ord A, Hornby P, Peng S. Effect of reactive surface areas associated with different particle shapes on chemical-dissolution front instability in fluid-saturated porous rocks. Transport in Porous Media 2008; 73:75-94.
37. Zhao C, Hobbs BE, Hornby P, Ord A, Peng S, Liu L. Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks. International Journal for Numerical and Analytical Methods in Geomechanics 2008; 32:1107-1130.
38. Zhao C, Hobbs BE, Ord A, Peng S. Effects of mineral dissolution ratios on chemical-dissolution front instability in fluid-saturated porous media. Transport in Porous Media, 2009; DOI: 10.1007/s11242-009-9427-9.
39. Bear J. Dynamics of Fluids in Porous Media. Elsevier: Amsterdam, 1972.
40. Zhao C, Hobbs BE, Ord A. Fundamentals of Computational Geoscience. Springer: Berlin, 2009.
41. Zienkiewicz OC. The Finite Element Method. McGraw-Hill: London, 1977.