Fundamental Theory for Chemical Dissolution-Front Instability Problems in Fluid-Saturated Porous Media

  • Chongbin ZhaoEmail author
Part of the Lecture Notes in Earth System Sciences book series (LNESS)


When fresh pore-fluid enters a solute-saturated porous medium, where the concentration of the solute (i.e. aqueous mineral) reaches its equilibrium concentration, the concentration of the aqueous mineral is diluted so that the solid part of the solute (i.e. solid mineral) is dissolved to maintain the equilibrium state of the solution.


Porous Medium Propagation Front Chemical Dissolution Dimensionless Concentration Finite Element Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Bear J (1972) Dynamics of fluids in porous media. American Elsevier, New YorkGoogle Scholar
  2. Chadam J, Hoff D, Merino E, Ortoleva P, Sen A (1986) Reactive infiltration instabilities. IMA J Appl Math 36:207–221CrossRefGoogle Scholar
  3. Chadam J, Ortoleva P, Sen A (1988) A weekly nonlinear stability analysis of the reactive infiltration interface. IMA J Appl Math 48:1362–1378Google Scholar
  4. Chen JS, Liu CW (2002) Numerical simulation of the evolution of aquifer porosity and species concentrations during reactive transport. Comput Geosci 28:485–499CrossRefGoogle Scholar
  5. Detournay E, Cheng AHD (1993) Fundamentals of poroelasticity. In: Hudson JA, Fairhurst C (eds) Comprehensive rock engineering, Vol. 2: analysis and design methods. Pergamon Press, New YorkGoogle Scholar
  6. Gow P, Upton P, Zhao C, Hill K (2002) Copper-gold mineralization in the New Guinea: numerical modeling of collision, fluid flow and intrusion-related hydrothermal systems. Aust J Earth Sci 49:753–771CrossRefGoogle Scholar
  7. Lewis RW, Schrefler BA (1998) The finite element method in the static and dynamic deformation and consolidation of porous media. Wiley, New YorkGoogle Scholar
  8. Nield DA, Bejan A (1992) Convection in porous media. Springer, New YorkCrossRefGoogle Scholar
  9. Ormond A, Ortoleva P (2000) Numerical modeling of reaction-induced cavities in a porous rock. J Geophys Res 105:16737–16747CrossRefGoogle Scholar
  10. Ortoleva P, Chadam J, Merino E, Sen A (1987) Geochemical self-organization II: the reactive-infiltration instability. Am J Sci 287:1008–1040CrossRefGoogle Scholar
  11. Phillips OM (1991) Flow and reactions in permeable rocks. Cambridge University Press, CambridgeGoogle Scholar
  12. Raffensperger JP, Garven G (1995) The formation of unconformity-type uranium ore deposits: coupled hydrochemical modelling. Am J Sci 295:639–696CrossRefGoogle Scholar
  13. Schafer D, Schafer W, Kinzelbach W (1998a) Simulation of reactive processes related to biodegradation in aquifers: 1. Structure of the three-dimensional reactive transport model. J Contam Hydrol 31:167–186CrossRefGoogle Scholar
  14. Schafer D, Schafer W, Kinzelbach W (1998b) Simulation of reactive processes related to biodegradation in aquifers: 2. Model application to a column study on organic carbon degradation. J Contam Hydrol 31:187–209CrossRefGoogle Scholar
  15. Schaubs P, Zhao C (2002) Numerical modelling of gold-deposit formation in the Bendigo-Ballarat zone, Victoria. Aust J Earth Sci 49:1077–1096CrossRefGoogle Scholar
  16. Scheidegger AE (1974) The physics of flow through porous media. University of Toronto Press, TorontoGoogle Scholar
  17. Steefel CI, Lasaga AC (1990) Evolution of dissolution patterns: permeability change due to coupled flow and reaction. In: Melchior DC, Basset RL (eds.) Chemical modeling in aqueous systems II, American Chemistry Society Symposium Series, vol. 416, pp. 213–225Google Scholar
  18. Steefel CI, Lasaga AC (1994) A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution reactions with application to reactive flow in single phase hydrothermal systems. Am J Sci 294:529–592CrossRefGoogle Scholar
  19. Turcotte DL, Schubert G (1982) Geodynamics: applications of continuum physics to geological problems. Wiley, New YorkGoogle Scholar
  20. Xu TF, Samper J, Ayora C, Manzano M, Custodio E (1999) Modelling of non-isothermal multi-component reactive transport in field scale porous media flow systems. J Hydrol 214:144–164CrossRefGoogle Scholar
  21. Xu TF, Apps JA, Pruess K (2004) Numerical simulation of CO2 disposal by mineral trapping in deep aquifers. Appl Geochem 19:917–936CrossRefGoogle Scholar
  22. Yeh GT, Tripathi VS (1991) A model for simulating transport of reactive multispecies components: model development and demonstration. Water Resour Res 27:3075–3094CrossRefGoogle Scholar
  23. Zhao C, Xu TP, Valliappan S (1994) Numerical modelling of mass transport problems in porous media: a review. Comput Struct 53:849–860CrossRefGoogle Scholar
  24. Zhao C, Hobbs BE, Mühlhaus HB (1998) Finite element modelling of temperature gradient driven rock alteration and mineralization in porous rock masses. Comput Methods Appl Mech Eng 165:175–187CrossRefGoogle Scholar
  25. Zhao C, Hobbs BE, Mühlhaus HB, Ord A (1999) Finite element analysis of flow patterns near geological lenses in hydrodynamic and hydrothermal systems. Geophys J Int 138:146–158CrossRefGoogle Scholar
  26. Zhao C, Hobbs BE, Walshe JL, Mühlhaus HB, Ord A (2001a) Finite element modeling of fluid-rock interaction problems in pore-fluid saturated hydrothermal/sedimentary basins. Comput Methods Appl Mech Eng 190:2277–2293CrossRefGoogle Scholar
  27. Zhao C, Hobbs BE, Mühlhaus HB, Ord A (2001b) Finite element modelling of rock alteration and metamorphic process in hydrothermal systems. Commun Numer Methods Eng 17:833–843CrossRefGoogle Scholar
  28. Zhao C, Lin G, Hobbs BE, Ord A, Wang Y, Mühlhaus HB (2003) Effects of hot intrusions on pore-fluid flow and heat transfer in fluid-saturated rocks. Comput Methods Appl Mech Eng 192:2007–2030CrossRefGoogle Scholar
  29. Zhao C, Hobbs BE, Ord A, Peng S, Mühlhaus HB, Liu L (2005) Numerical modeling of chemical effects of magma solidification problems in porous rocks. Int J Numer Meth Eng 64:709–728CrossRefGoogle Scholar
  30. Zhao C, Hobbs BE, Ord A, Hornby P (2006a) Chemical reaction patterns due to fluids mixing and focusing around faults in fluid-saturated porous rocks. J Geochem Explor 89:470–473CrossRefGoogle Scholar
  31. Zhao C, Hobbs BE, Hornby P, Ord A, Peng S (2006b) Numerical modelling of fluids mixing, heat transfer and non-equilibrium redox chemical reactions in fluid-saturated porous rocks. Int J Numer Meth Eng 66:1061–1078CrossRefGoogle Scholar
  32. Zhao C, Hobbs BE, Ord A, Hornby P, Peng S, Liu L (2007) Mineral precipitation associated with vertical fault zones: the interaction of solute advection, diffusion and chemical kinetics. Geofluids 7:3–18CrossRefGoogle Scholar
  33. Zhao C, Hobbs BE, Hornby P, Ord A, Peng S, Liu L (2008a) Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks. Int J Numer Anal Meth Geomech 32:1107–1130CrossRefGoogle Scholar
  34. Zhao C, Hobbs BE, Ord A, Hornby P, Peng S (2008b) Effect of reactive surface areas associated with different particle shapes on chemical-dissolution front instability in fluid-saturated porous rocks. Transp Porous Media 73:75–94CrossRefGoogle Scholar
  35. Zhao C, Hobbs BE, Ord A, Hornby P, Mühlhaus HB, Peng S (2008c) Theoretical and numerical analyses of pore-fluid-flow focused heat transfer around geological faults and large cracks. Comput Geotech 35:357–371CrossRefGoogle Scholar
  36. Zhao C, Hobbs BE, Ord A, Peng S (2010) Effects of mineral dissolution ratios on chemical-dissolution front instability in fluid-saturated porous media. Transp Porous Media 82:317–335CrossRefGoogle Scholar
  37. Zienkiewicz OC (1977) The finite element method. McGraw-Hill, LondonGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Computational Geosciences Research CentreCentral South UniversityChangshaChina

Personalised recommendations