De Lucia, Marco (2008) Effect of spatial variability on reactive transport. PhD thesis Géostatistique, GEOSC- Centre de Géosciences, ENSMP p.189.

Full text available as: - Thèse_De_Lucia.pdf ( 6313 Kb )

Licence: Copyright

Abstract

This thesis aims to quantify the effect of spatial variability of porous media on the evolution of geochemical systems. Mineral dissolution or precipitation can modify the structure of the medium at pore scale. This involves a modification on hydrodynamic properties of the rock, noticeably the permeability. Can the initial medium's spatial variability be the origin of the origin of digitations and wormholing?

The first part of the thesis deals with permeability upscaling, from a fine, regular grid of geostatistical simulations to coarser and instructured ones used by the hydrogeochemical model in the case of finite volumes code HYTEC , based on voronoï tessellations, several upscaling techniques were tested and compared using different criteria.

The second part addresses the reactive transport on sets of geostatistically simulated models. The influence on systems evolution of initial spatial distributions is measured by mean of specially adapted observables. Two reactions are studied separately. A case of dissolution in depth and more quickly a case of precipitation resulting in self-equilibrating system.

References

Bibliografia

Ababou, R. (????).

Adler, P.M. e Thovert, J.F. (1998). Real porous media: local geometry and macroscopic

properties. American Society of mechanical enineers, 51:537–585.

Appelo, C. e Postma, D., Geochemistry, groundwater and pollution. Balkema, Rotterdam, 1994.

Battersby, S., Teixeira, P.W., Beltramini, J., Duke, M.C., Rudolph, V. e Diniz da Costa, J.C.

(2006). An analysis of the Peclet and Damkohler numbers for dehydrogenation reactions using

molecular sieve silica (MSS) membrane reactors. Catalysis Today, 116(1):12–17.

Bear, J., Dynamics of fluids in porous media. Elsevier, New York, 1968.

Bekri, S., F., T.J. e Adler, P.M. (1995). Dissolution of porous media. Chemical Engineering

Science, 50(17):2765–2791.

Bekri, S., Xu, K., Yousefian, F., Adler, P.M., Thovert, J.F., Muller, J., Iden, K., Psyllos, A.,

Stubos, A.K. e Ioannidis, M.A. (2000). Pore geometry and transport properties in North Sea

chalk. Journal of Petroleum Science and Engineering, 25(3-4):107–134.

Bernard, D. e Gouze, P., A finite element study of natural convection in a heterogeneous sloped

porous layer bounded by impervious domains. In A. A., J. Aparicio, C.A. Brebbia, I. Herrera,

W.G. Gray e G.F. Pinder, curatori, Computational Methods in Subsurface Flow and Transport

Problems, vol. 1, pp. 639–646. 1996.

Bethke, C., Geochemical reaction modeling. Oxford university press, New York, 1996.

Bourbié, T. e Zinsner, B. (1985). Hydraulic and acoustic properties as a function of porosity in

Fontainebleau sandstone. Journal of geophysycal research, 90:11 524–11 532.

Cardwell, W.T. e Parsons, R.L. (1945). Average permeabilities of heterogeneous oil sands. Trans.

Amer. Inst. Min. Met. Pet. Eng., 160:34–42.

Carman, P.C. (1937). Fluid flow through granular beds. Transactions - Institution of chemical

engineers, 15:150–166.

Charcosset, C., Yousefian, F., Thovert, J.F. e Adler, P. (2002). Calculation of flow and solute

deposition through three-dimensional reconstructed model of microporous membranes.

Desalination, 145:133–138.

Chevalier, C. (2004). Approche géostatistique du transfert de fluide en milieu poreux. Tesi di

laurea, Ecole des Mines de St Étienne.

Chilingarian, G.V., Torabzadeh, J., Rieke, H.H., Metghalchi, M. e Mazzullo, S.J. (1992). Interrelationships

among surface area, permeability, porosity, pore size and residual water saturation.

Developments in petroleum science, 30:379–397.

Chilès, J.P. e Delfiner, P., Geostatistics - modelling spatial uncertainty. Wiley & sons, New York,

1999.

Cirpka, O. (2002). Choice of dispersion coefficients in reactive transport calculations on smoothed

fields. Journal of Contaminant Hydrology, 58:261–282.

Dagan, G. (1993). High-order correction of effective permeability of heterogeneous isotropic

formations of lognormal conductivity distribution. Transport in Porous Media, 12:279–290.

Darcy, H., Les fontaines publiques de la ville de Dijon. Victor Dalmont, 1856.

Diedro, F. (2008). Approche géostatistique du transfert réactif en milieu poreux. Tesi di dottorato,

Ecole de Mines de St. Etienne.

Emmanuel, S. e Brian Berkowitz, B. (2005). Mixing-induced precipitation and porosity evolution

in porous media. Advances in Water Resources, 28:337–344.

Fredd, C.N. e Fogler, H.S. (1998). The Influence of Transport and Reaction on Wormhole

Formation in Porous Media. J. Am. Inst. Chem. Eng., 44:1933–1949.

Freulon, X. e de Fouquet, C., Pratique des bandes tournantes à 3D. In C. de Fouquet, curatore,

Compte Rendu des Journées de Géostatistique, vol. 1 di Cahiers de Géostatistique, pp. 101–117.

Ecole des Mines de Paris, 1991.

Galli, A., Goblet, P., Griffin, D., Ledoux, E., Le Loc’h, G., Mackay, R. e Renard, P. (1996).

Quick upscaling of flow and transport related parameters. Technical Report LHM/96/RD/11,

Mines de Paris - University of Newcastle.

Golfier, F., Quintard, M., Cherblanc, F., Zinn, B. e Wood, B. (2007). Comparison of theory and

experiment for solute transport in highly heterogeneous porous medium. Advances in Water

Resources.

Gouze, P., Hassani, R., Bernard, D. e Coudrain-Ribenstein, A. (2001). Calcul de l’évolution de

la perméabilité des réservoirs sédimentaires contenant des argiles: application à la zone de la

faille de Bray (bassin de Paris). Bull. Soc. géol. France, 172(4):427–436.

Guerrillot, D., Rudkiewicz, J.L., Ravenne, C., Renard, G. e Galli, A. (1990). An integrated

model for computer aided reservoir description: from outcrop study to fluid flow simulations.

Revue de l’IFP, 45:71–77.

Gutjahr, L.e.a. (1978). Stochastic analysis of spatial variability in subsurface flows: 2. Evaluation

and application. Water Resources Research, 14(5):53–959.

Hartkamp e Bakker (1994).

Hashin, Z. e Shtrikman, S. (1963). Conductivity of polycristals. Phys. Rev., 120:129.

Hubbert, M.K. (1940). The theory of groundwater motion. Journal of Geology, 48(8).

Hunter, K., Wangb, Y. e Cappellena, P.V. (1998). Kinetic modeling of microbially-driven redox

chemistry of subsurface environments: couplingnext term transport, microbial metabolism

and geochemistry. Journal of Hydrology, 209(1-4):53–80.

Jenny, P., Lee, S.H. e Tchelepi, H.A. (2003). Multi-scale finite-volume method for elliptic

problems in subsurface flow simulation. Journal of Computational Physics, 187(1):47–67.

Journel, A., Deutsch, C. e Desbarats, A. (1986). Power averaging for block effective permeability.

SPE 15128.

Kalia, N. e Balakotaiah, V. (2007). Modeling and analysis of wormhole formation in reactive

dissolution of carbonate rocks. Chemical Engineering Science, 62(4):919–928.

Knauss, K., Johnson, J. e Steefel, C. (2005). Evaluation of the impact of CO2, co-contaminant

gas, aqueous fluid and reservoir rock interactions on the geologic sequestration of CO2.

Chemical Geology, 217:339–350.

Kruel-Romeu, R. (1994). Ecoulement en milieu hétérogènes: prise de moyenne de perméabilité

en régimes permanent et transitoire. Tesi di dottorato, Université Paris VI.

Lagneau, V. (2000). Influence des processus géochimiques sur le transport en milieu poreux; application

au colmatage de barrières de confinement potentielles dans un stockage en formation

géologique. Tesi di dottorato, Mines de Paris.

Lagneau, V. (2003). R2D2 - Reactive Transport and Waterflow on an Odd Dimension 2 grid.

Rapport Technique LHM/RD/03/05, Mines Paris.

Le Loc’h, G. (1987). Ètude de la composition des perméabilités par des méthodes variationnelles.

Tesi di dottorato, Mines de Paris.

Li, L., Benson, C. e Lawson, E. (2006). Modeling porosity reductions caused by mineral fouling

in continuous-wall permeable barriers. Journal of Contaminant Hydrology, 83:89–121.

Lunati, I., Bernard, D., Giudici, M., Parravicini, G. e Ponzini, G. (2001). numerical comparison

between two upscaling techniques: non-local inverse-based scaling and simplified

renormalization. Advances in Water Resources, 24:913–929.

MacQuarrie, K.T. e Mayer, K.U. (2005). Reactive transport modeling in fractured rock: A

state-of-the-science review. Earth-Science Reviews, 72(3-4):189–227.

Marsily, G.d., Quantitative Hydrogeology. Academic Press, Inc., 1986.

Matheron, G., Eléments pour une théorie des milieux poreux. Paris: Masson, 1967.

Matheron, G. (1993). Quelques inégalités pour la perméabilité effective d’un milieu poreux

hétérogène. Cahier de géostatistique 3, Mines de Paris.

Matheron, G. (1973). The intrinsic random functions and their application. Advances in Applied

Probability, 5:439–468.

Meysman, F.J., Boudreau, B.P. e Middelburg, J.J. (2005). Modeling reactive transport in

sediments subject to bioturbation and compaction. Geochimica et Cosmochimica Acta,

69(14):3601–3617.

Noetinger, B. (1994). The effective permeability of a heterogeneous porous medium. Transport

in Porous Media, 15:99–127.

Noiriel, C. (2005). Contribution à la détermination expérimentale et à la modélisation des différents

processus contrôlant l’évolution géochimique, structurale et hydrodynamique des roches

fissurées carbonatées. Tesi di dottorato, Mines de Paris.

O’Brien, G.S., Bean, C.J. e McDermott, F. (2003). Numerical investigations of passive and

reactive flow through generic single fractures with heterogeneous permeability. Earth and

Planetary Science Letters, 213(3-4):271–284.

Pardo-Iguzquiza, E. e Chica-Olmo, M. (1994). SPECSIM; a program for simulating random

fields by an improved spectral approach. Computers & Geosciences, 20(4):597–613.

Pardo-Igúzquiza, E. e Dowd, P.A. (2003). SPECSIM2: a program for spectral simulation of

anisotropic two-dimensional random fields. Computers & Geosciences, 29(8):1013–1020.

Portier, S., André, L. e Vuataz, F.D., Review of chemical stimulation techniques and results

of acid injection experiments at Soultz-sous-Forêts. In Proceedings of EHDRA Scientific

Conference. 2006.

Preston, C., Monea, M., Jazrawi, W., Brown, K., Whittaker, S., White, D., Law, D., Chalaturnyk,

R. e Rostron, B. (2005). IEA GHG Weyburn CO2 monitoring and storage project. Fuel

Processing Technology, 86(14-15):1547–1568.

R Development Core Team (2007). R: A Language and Environment for Statistical Computing.

R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0.

Renard, P. (1997). Modélisation des écoulements en milieux poreux hétérogènes. Tesi di dottorato,

Ecole des Mines de Paris.

Renard, P. e de Marsily, G. (1997). Calculating equivalent permeability: a review. Advances in

Water Resources, 20(5-6):253–278.

Roth, C., Chilès, J.P. e de Fouquet, C. (1997). Adapting geostatistical transmissivity simulations

to finite difference flow simulators. Water Resources Research, 32(10):3237–3242.

Rouy, S. (2004). Etude numérique sur le couplage chimie-transport. Elaboration d’une maquette

1D. rapport technique LHM/RD/04/16, Mines Paris.

Rubin, Y. e Gomez-Hernandez, J.J. (1990). A stochastic approach to the problem of upscaling

of conductivity in disordered media: Theory and unconditional numerical simulations. Water

Resources Research, 26(4).

Sallès, J., Thovert, J.F. e Adler, P.M. (1993). Deposition in porous media and clogging. Chemical

Engineering Science, 48(16):2839–2858.

Serra, J. e Soille, P., Mathematical Morphology and Its Applications to Image Processing.

Springer, New York, 1994.

Singurindy, O. e Berkowitz, B. (2005). The role of fractures on coupled dissolution and

precipitation patterns in carbonate rocks. Advances in Water Resources, 28:507–521.

Steefel, C., DePaolo, D. e Lichtner, P. (2005). Reactive transport modeling: An essential tool

and a new research approach for the Earth sciences. Earth and Planetary Science Letters,

240:539–558.

van Breukelen, B.M., Griffioen, J., Roling, W.F.M. e van Verseveld, H.W. (2004). Reactive

transport modelling of biogeochemical processes and carbon isotope geochemistry inside a

landfill leachate plume. Journal of Contaminant Hydrology, 70(3-4):249–269.

van der Lee, J., Thermodynamic and mathematical concepts of CHESS. École des Mines de

Paris, 1998.

van der Lee, J. e Windt, L.D. (2001). Present state and future directions of modeling of

geochemistry in hydrogeological systems. Journal of Contaminant Hydrology, 47:265–282.

Wang, Y., Ma, T. e Luo, Z. (2001). Geostatistical and geochemical analysis of surface water

leakage into groundwater on a regional scale: a case study in the Liulin karst system,

northwestern China. Journal of Hydrology, 246(1-4):223–234.

Wiener, O. (1912). Abhandlungen der Matematisch Physischen Klasse der Königlichen

Sächsischen Gesellschaft der Wissenschaften, 32:509.

Windt, L.D., Badreddine, R. e Lagneau, V. (2007). Long-terme reactive transport modelling

of stabilized/solidified waste: from dynamic leaching tests to disposal scenarios. Journal oh

Hazardous Materials, B139:529–536.

Wyllie, M.R.J. e Spangler, M.B. (1952). Application of electrical resistivity measurements to

the problem of fluid flow in porous media. Bulletin of the American association of petroleum

geologists, 36:93–108.

Statistiques de consultation

Repository Staff Only: edit this item