Implementation of biofilm permeability models for mineral reactions in saturated porous media

An approach based on continuous biofilm models is proposed for modeling permeability changes due to mineral precipitation and dissolution in saturated porous media. In contrast to the biofilm approach, implementation of the film depositional models within a reactive transport code requires a time-dependent calculation of the mineral films in the pore space. Two different methods for this calculation are investigated. The first method assumes a direct relationship between changes in mineral radii (i.e., surface area) and changes in the pore space. In the second method, an effective change in pore radii is calculated based on the relationship between permeability and grain size. Porous media permeability is determined by coupling the film permeability models (Mualem and Childs and Collis-George) to a volumetric model that incorporates both mineral density and reactive surface area. Results from single mineral dissolution and single mineral precipitation simulations provide reasonable estimates of permeability, though they predict smaller permeability changes relative to the Kozeny and Carmen model. However, a comparison of experimental and simulated data show that the Mualem film model is the only one that can replicate the oscillations in permeability that occur as a result of simultaneous dissolution and precipitation reactions occurring within the porous media.

[1]  H. Helgeson,et al.  Thermodynamics of hydrothermal systems at elevated temperatures and pressures , 1969 .

[2]  C. L. Carnahan.  COUPLING OF PRECIPITATION/DISSOLUTION REACTIONS TO MASS DIFFUSION , 1988 .

[3]  W. Sanford,et al.  Simulation of calcite dissolution and porosity changes in saltwater mixing zones in coastal aquifers , 1989 .

[4]  Y. Mualem.  A New Model for Predicting the Hydraulic Conductivity , 1976 .

[5]  Alfred B. Cunningham,et al.  Influence of Biofilm Accumulation on Porous Media Hydrodynamics , 1991 .

[6]  Sadaaki Yamamoto,et al.  Dissolution of Zeolite in Acidic and Alkaline Aqueous Solutions As Revealed by AFM Imaging , 1996 .

[7]  C. Steefel,et al.  A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution rea , 1994 .

[8]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[9]  Daniel C. Melchior,et al.  Chemical Modeling of Aqueous Systems II. , 1990 .

[10]  Mark D. White,et al.  Subsurface Transport Over Reactive Multiphases (STORM): A general, coupled, nonisothermal multiphase flow, reactive transport, and porous medium alteration simulator, Version 2 user's guide , 2000 .

[11]  Enrique Merino,et al.  Geochemical self-organization II; the reactive-infiltration instability , 1987 .

[12]  Herbert T. Schaef,et al.  Waste Form Release Data Package for the 2001 Immobilized Low-Activity Waste Performance Assessment , 2001 .

[13]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[14]  Stewart W. Taylor,et al.  Biofilm growth and the related changes in the physical properties of a porous medium: 2. Permeability , 1990 .

[15]  Y. Le Gallo,et al.  Coupled reaction-flow modeling of diagenetic changes in reservoir permeability, porosity and mineral compositions , 1998 .

[16]  H. Pape,et al.  Variation of Permeability with Porosity in Sandstone Diagenesis Interpreted with a Fractal Pore Space Model , 2000 .

[17]  E. C. Childs,et al.  The permeability of porous materials , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[18]  Scot T. Martin,et al.  Connections between surface complexation and geometric models of mineral dissolution investigated for rhodochrosite , 2003 .

[19]  H. Scott Fogler,et al.  Competition Among Flow, Dissolution, and Precipitation in Porous Media , 1989 .