RETRASO, a code for modeling reactive transport in saturated and unsaturated porous media
DOI:
https://doi.org/10.1344/105.000001430Keywords:
Reactive transport, Porous media, Unsaturated flow modeling, Numerical methodsAbstract
The code RETRASO (REactive TRAnsport of SOlutes) simulates reactive transport of dissolved and gaseous species in non-isothermal saturated or unsaturated problems. Possible chemical reactions include aqueous complexation (including redox reactions), sorption, precipitation-dissolution of minerals and gas dissolution. Various models for sorption of solutes on solids are available, from experimental relationships (linear KD, Freundlich and Langmuir isotherms) to cation exchange and surface complexation models (constant capacitance, diffuse layer and triple layer models). Precipitation-dissolution and aqueous complexation can be modelled in equilibrium or according to kinetic laws. For the numerical solution of the reactive transport equations it uses the Direct Substitution Approach. The use of the code is demonstrated by three examples. The first example models various sorption processes in a smectite barrier. The second example models a complex chemical system in a two dimensional cross-section. The last example models pyrite weathering in an unsaturated medium.
References
Abu-El-Sha’r, W., Abriola, L.M., 1997. Experimental assessment of gas transport mechanisms in natural porous media: Parameter evaluation. Water Resources Research, 33, 505-516.
Appelo, C.A.J., Willemsen, A., 1987. Geochemical calculations and observations on salt water intrusions, I. A combined geochemical/mixing cell model. Journal of Hydrology, 94, 313-330.
Appelo C.A.J., Postma, D., 1994. Geochemistry, groundwater and pollution. Rotterdam, ed. Balkema, 536 pp.
Ayora, C., Taberner, C., Saaltink, M.W., Carrera, J., 1998. The genesis of dedolomites: a discussion based on reactive transport modeling. Journal of Hydrology, 209, 346-365.
Ayora, C., Berettino, D., Domènech, C., Fernández, M., LópezPamo, E., Olivella, S., de Pablo, J., Saaltink, M.W., 2001. Meteorización de los lodos piríticos de Aznalcóllar. Boletín Geológico y Minero, 112, 137-162.
Baeyens, B., Bradbury, M.H., 1997. A mechanistic description of Ni and Zn sorption on Na-montmorillonite. Part I: Titration and sorption measurements. Journal of Contaminant Hydrology, 27, 223-248.
Baehr, A.L., Baker, R.J., 1995. Use of a reactive gas transport model to determine rates of hydrocarbon biodegradation in unsaturated porous media. Water Resources Research, 31, 2877-2882.
Bain J.G., Blowes D.W., Robertson W.D., Frind E.O., 2000. Modelling of sulfide oxidation with reactive transport at a mine drainage site. Journal of Contaminant Hydrology, 41, 23-47.
Batlle, F., Carrera, J., Ayora, C., 2002. A comparison of Lagrangian and Eulerian formulations for reactive transport modelling. In: Hassanizadeh, S.M., Schotting, R.J., Gray, W.G., Pinder, G.F. (eds.). Computational Methods in Water Resources, Amsterdam, ed. Elsevier, 571-578.
Bradbury, M.H., Baeyens, B., 1997. A mechanistic description of Ni and Zn sorption on Na-montmorillonite. Part II: modelling. Journal of Contaminant Hydrology, 27, 199-222.
Cederberg, G.A., Street, R., Leckie, J.O., 1985. A groundwater mass transport and equilibrium chemistry model for multicomponent systems. Water Resources Research, 21, 1095-1104.
Chilakapati, A., Ginn, T., Szecsody, 1998. An analysis of complex reactions networks in groundwater modeling. Water Resources Research, 34, 1767-1780.
Corbella M., 2002. Modelització geoquímica de dissolució de carbonats per mescles de fluids hidrotermals aplicada a
dipòsits minerals. Doctoral thesis, Universitat Autònoma de Barcelona, 130 pp.
Daus, A.D., Frind, E.O., Sudicky, E.A., 1985. Comparative error analysis in finite element formulations of the advection- dispersion equation. Advances in Water Resources, 8, 86-95.
Dzombak, D.A., Morel, F.M.M., 1990. Surface Complexation Modelling. New York, ed. Wiley Interscience, 393 pp.
Engesgaard, P., Kipp, K.L., 1992. A Geochemical Transport Model for Redoxed-Controlled Movement of Mineral Fronts in Groundwater Flow Systems: A Case of Nitrate Removal by Oxidation of Pyrite. Water Resources Research, 28, 2829-2843.
Engesgaard, P., Traberg, R., 1996. Contaminant transport at a waste residue deposit, 2. Geochemical transport modeling.
Water Resources Research, 32, 939-951.
Friedly, J.C., Rubin, J., 1992. Solute transport with multiple equilibrium controlled or kinetically controlled chemical reactions. Water Resources Research, 28, 1935-1953.
Gerke H.H., Molson J.W., Frind E.O., 1998. Modelling the effect of chemical heterogeneity on acidification and solute leaching in overburden mine spills. Journal of Hydrology, 209, 166-185.
Grindrod, P., Takase, H., 1996. Reactive chemical transport within engineered barriers. Journal of Contaminant Hydrology, 21, 283-296.
Helgeson, H.C., Kirkham, D.H., 1974. Theoretical prediction of the thermodynamic behaviour of aqueous electrolytes at high pressures and temperatures: II. Debye-Hückel parameters for activity coefficients and relative partial molal properties. American Journal of Science, 274, 1199-1261.
Le Gallo, Y., Bildstein O., Brosse, E., 1998. Coupled reactionflow modeling of diagenetic changes in resevoir permeability, porosity and mineral composition. Journal of Hydrology, 209, 366-388.
Liu, C.W., Narasimhan, T.N., 1989a. Redox-Controlled multiple-species reactive chemical transport, 1. Model Development. Water Resources Research, 25, 869-882.
Liu, C.W., Narasimhan, T.N., 1989b. Redox-controlled multiple species reactive chemical transport, 2. Verification and Application. Water Resources Research, 25, 883-910.
Mangold, C.M., Tsang, C.H., 1991. A summary of subsurface hydrological and hydrochemical models. Reviews in Geophysics, 29, 51-79.
Mayer, K.U., Frind, E.O., Blowes, D.W., 2002. Multicomponent reactive transport modeling in variably saturated media
using a generalized formulation for kinetically controlled reactions. Water Resources Research, 38, doi:10.1029-/2001WR000862.
Nicholson, R.V., 1994. Iron-sulfide oxidation mechanisms: Laboratory studies. In: Jambor, J.L., Blowes, D.W., (eds.). Short course on environmental geochemistry of sulfide minewastes, , Waterloo, Ottawa, Mineralogical Association of Canada, 163-183.
Nienhuis, P., Appelo, C.A.T., Willemsen, A., 1991. Program PHREEQM: Modified from PHREEQM for use in mixing cell flow tube.
Nordstrom, D.K., Alpers, C.N., 1999. Geochemistry of acid mine water. In:. Plumlee, G.S., Logsdon, M.J. (eds.). The environmental geochemistry of mineral deposits, Part A: Processes, techniques and health issues. Littleton, Colorado,
Society of Economic Geologists, chapter 6.
Olivella, S., Gens, A., Carrera, J., Alonso, E.E., 1996. Numerical formulation for a simulator (CODE_BRIGHT) for the coupled analysis of saline media. Engineering Computations, 13, 87-112.
Parkhurst, D.L., 1995. User’s guide to PHREEQC: a computer program for speciation, reaction-path, advective-transport
and inverse geochemical calculations. U.S. Geolocial Survey, Water Resources Investigation Report, 95-4227, 143pp.
Rovira M., El Aamrani, F.Z., Duro, L., Casas, I., de Pablo, J., Bruno, J., Domènech, C., Ayora, C., 2000. Experimental study and modeling of uranium (VI) transport through ferrous olivine rock columns. Radiochimica Acta, 88, 1-7.
Rubin, J., 1983. Transport of reacting solutes in porous media: Relation between mathematical nature of problem formulation and chemical nature of reactions. Water Resources Research, 19, 1231-1252.
Saaltink, M., Benet, I., Ayora, C., 1997. RETRASO, Fortran Code for Solving 2D Reactive Transport of Solutes, Users´s guide. Barcelona, E.T.S.I. Caminos, Canales y Puertos, Universitat Politècnica de Catalunya and Instituto de Ciencias de la Tierra, CSIC, 90 pp.
Saaltink, M.W., Ayora,C., Carrera, J., 1998. A mathematical formulation for reactive transport that eliminates mineral concentration. Water Resources Research, 34, 1649-1656.
Saaltink, M.W., Carrera, J., Ayora,C., 2001. On the behavior of approaches to simulate reactive transport. Journal of Contaminant Hydrology, 48, 213-235.
Saaltink, M.W., Domènech, C., Ayora, C., Carrera, C., 2002. Modelling the oxidation of sulphides in an unsaturated soil.
In:. Younger, P., Robins, N.S. (eds.). Mine Water Hydrogeology and Geochemistry, London, Geological Society, Special Publications, 198, 187-205.
Saaltink, M.W., Ayora, C., Stuyfzand, P.J., Timmer, H., 2003. Analysis of a deep well recharge experiment by calibrating a
reactive transport model with field data. Journal of Contaminant Hydrology, 65, 1-18.
Salas J., 2002. Modelación del transporte reactivo en los yacimientos de uranio de la cuenca Franceville. Doctoral thesis, Universidat de Barcelona, 195 pp.
Schäfer, D., Schäfer, W., Kinzelbach, W., 1998. Simulation of reactive processes related to biodegradation in aquifers, 1.
Structure of the three-dimensional reactive transport model. Journal of Contaminant Hydrology, 31, 167-186.
S˘imu˚nek, J., Suarez, D.L., 1994. Two-dimensional transport model for variability saturated porous media with major ion
chemistry. Water Resources Research, 30, 1115-1133.
Singer, P.C., Stumm, W., 1970. Acidic mine drainage: The determining step. Science, 167, 1121-1123.
Steefel, C.I., 1993. 1DREACT, One dimensional reaction-transport model, User manual and programmer’s guide. Batelle,
Washington, Pacific Northwest Laboratories.
Steefel, C.L., Lasaga, A.C., 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. American Journal of Science, 294, 529-592.
Steefel, C.I., Yabusaki, S.B., 1995. OS3D/GIMRT, Software for modeling multicomponent-multidimensional reactive transport, User manual & programmer´s guide. Richland, Washington, Pacific Northwest Laboratories, 58 pp.
Steefel, C.I., MacQuarrie, K.T.B., 1996. Approaches to modeling reactive transport in porous media. In: Lichtner, P.C.,
Steefel, C.I., Oelkers, E.H. (eds.). Reactive transport in porous media. Mineralogical Society of America, Reviews in Mineralogy, 34, 83-129.
Tebes-Stevens, C., Valocchi, A.J., VanBriesen, J.M., Rittmann, B.E., 1998. Multicomponent transport with coupled geochemical and microbiological reactions: model description and example simulation. Journal of Hydrology, 209, 8-26.
Thorstenson, D.C., Pollock, D.W., 1989. Gas transport in unsaturated zones: multicomponent systems and the adequacy of
Fick’s laws. Water Resources Research, 25, 477-507.
Van der Lee, J., De Windt, L., 2001. Present state and future directions of modeling of geochemistry in hydrogeological systems. Journal of Contaminant Hydrology, 47, 265-282.
Van der Lee, J., De Windt, L., Lagneau, V., Goblet P., 2003. Module-oriented modeling of reactive transport with HYTEC. Computer and Geosciences, 29, 265-275.
Van Genuchten, R., 1978. Calculating the unsaturated hydraulic conductivity with a new closed-form analytical model. Research report 78-WR-08, Water Resource Program, Princeton, NJ, Department of Civil Engineering, Princeton University, 63 pp.
Van Genuchten, M.T.H., Alves, W.J., 1982. Analytical solutions of the one-dimensional convective-dispersive solute transport equation. U.S. Department of Agriculture, Technical Bulletin, 1661, 151 pp.
Walter, A.L., Frind, E.O., Blowes, D.W., Ptacek, C.J., Molson, J.W., 1994. Modeling of multicomponent reactive transport in groundwater, 1. Model development and evaluation. Water Resources Research, 30, 3137-3148.
Westall J.C., Hohl H., 1980. A comparison of electrostatic models for the oxide/solution interface. Advances in Colloid and
Interface Science, 12, 265-294.
White, S.P., 1995. Multiphase nonisothermal transport of systems of reacting chemicals. Water Resources Research, 31, 1761-1772.
Wolery T.J., 1992. EQ3NR, a computer program for geochemical aqueous speciation-solubility calculations: Theoretical manual, user’s guide and related documentation (Version 7.0). Publ. UCRL-MA-110662 Pt III. Livermore, California, Lawrence Livermore Lab., 246 pp.
Wunderly, M.D., Blowes, D.W., Frind, E.O., Ptacek, C.J., 1996. Sulfide mineral oxidation and subsequent reactive transport of
oxidation products in mine tailing impoundments: a numerical model. Water Resources Research, 32 , 3173-3187.
Xu, T., Samper, J., Ayora, C., Manzano, M., Custodio, E., 1999. Modeling of non-isothermal multi-component reactive transport in field scale porous media flow systems. Journal of Hydrology, 214, 144-164.
Yeh, G.T., Tripathi, V.S., 1989. A critical evaluation of recent developments in hydrogeochemical transport models of reactive multichemical components. Water Resources Research, 25, 93-108.
Yeh, G.T., and Tripathi, V.S., 1991. A model for simulating transport of reactive multispecies components: model development and demonstration. Water Resources Research, 27,3075-3094.
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