Non-Fickian description of tracer transport through heterogeneous porous media

Transport in Porous Media

Volumn 80, Issue 3, 2009, Pages 561-579

  Fourar, Mostafa ^a   Radilla, Giovanni ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Dispersion; Heterogeneity; Heterogeneous porous media; Miscible displacement; Non Fickian transport

Indexed keywords

ARRIVAL TIME; CONVECTION-DIFFUSION EQUATIONS; DISPERSION COEFFICIENT; FICKIAN APPROACH; HETEROGENEOUS CARBONATES; HETEROGENEOUS MEDIA; HETEROGENEOUS POROUS MEDIA; IN-SITU CONCENTRATIONS; MISCIBLE DISPLACEMENT; NON-FICKIAN; POWER FUNCTIONS; POWER LAW; STATISTICAL APPROACH; STRATIFIED MODEL; TEMPORAL MOMENTS; TRACER TRANSPORT; X-RAY COMPUTED TOMOGRAPHY;

COMPUTERIZED TOMOGRAPHY; DISPERSIONS;

POROUS MATERIALS;

DIFFUSION; FLOW MODELING; HETEROGENEITY; POROSITY; POROUS MEDIUM; POWER LAW; TRACER;

EID: 76149135035     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9380-7     Document Type: Article

References (33)

1. Aggelopoulos C. A., Tsakiroglou C. D.: The longitudinal dispersion coefficient of soils as related to the variability of local permeability. Water Air Soil Pollut. 185, 223-237 (2007). doi: 10. 1007/s11270-007-9445-6.
2. Barenblatt G. E., Zheltov I. P., Kochina I. N.: Basic concept of the theory of seepage of homogeneous liquids in fissured rocks. J. Appl. Math. Mech. Eng. Transl. 24, 1286-1303 (1960). doi: 10. 1016/0021-8928(60)90107-6.
3. Bauget F., Fourar M.: Non-Fickian dispersion in a single fracture. J. Contam. Hydrol. 100, 137-148 (2008). doi: 10. 1016/j. jconhyd. 2008. 06. 005.
4. Bear J.: Dynamics of Fluids in Porous Media. Elsevier, New York (1972).
5. Berkowitz B., Scher H.: The role of probalilistic approaches to transport theory in heterogeneous media. Transp. Porous Media 42, 241-263 (2001). doi: 10. 1023/A: 1006785018970.
6. Berkowitz B., Cortis A., Dentz M., Scher H.: Modeling non-Fickian transport in geological formations as a continuous time random walk. Rev. Geophys. 44, RG2003 (2006). doi: 10. 1029/2005RG000178.
7. Carlier E.: Solute transport in dual porosity medium and scale effect of dispersivity: proposal of a probabilistic equation. J. Environ. Hydrol. 15(4), 1-8 (2007).
8. Coasts K. H., Smith B. D.: Dead-end pore volume and dispersion in porous media. Soc. Pet. Eng. J. Trans. AIME 231(4), 73-84 (1964).
9. Communar G. M.: A solute Transport in Stratified Media. Transp. Porous Media 31, 133-134 (1998). doi: 10. 1023/A: 1006557032656.
10. Cortis A., Gallo C., Scher H., Berkowitz B.: Numerical simulation of non-Fickian transport in geological formations with multiple-scale heterogeneities. Water Resour. Res. 40, W04209 (2004). doi: 10. 1029/2003WR002750.
11. Dauba, C., Hamon, G., Quintard, M., Cherblanc, F.: Identification of parallel heterogeneities with miscible displacement, SCA paper 9933, Golden, USA (1999).
12. Dagan G.: Flow and Transport in Porous Formations. Springer-Verlag, New York (1989).
13. Dagan G., Neuman P.: Subsurface Flow and Transport: A Stochastic Approach. Cambridge University Press, New York (1997).
14. Domenico P. A., Robbins G. A.: A dispersion scale effect in model calibration and field tracer experiments. J. Hydrol. (Amst.) 70, 123-132 (1984). doi: 10. 1016/0022-1694(84)90117-3.
15. Fourar, M., Konan, G., Fichen, C., Rosenberg, E., Egermann, P., Lenormand, R.: Tracer tests for various carbonate cores using X-ray CT, society of core analysis. Annual international symposium, Toronto, Canada, 21-25 Aug 2005.
16. Fourar, M.: Characterization of heterogeneities at the core-scale using the equivalent stratified porous medium approach. In: International symposium of the society of core analysts, Trondheim, Norway, 12-16 Sept 2006.
17. Gerke H. H., van Genuchten M. T.: A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media. Water Resour. Res. 29(2), 305-320 (1993). doi: 10. 1029/92WR02339.
18. Gelhar L. W., Gutjahr A. L., Naff R. L.: Stochastic analysis of macrodispersion in a stratified aquifer. Water Resour. Res. 15, 1387-1397 (1979). doi: 10. 1029/WR015i006p01387.
19. Gelhar L. W., Welty C., Rehfeldt K. R.: A critical review of data on field-scale dispersion in aquifers. Water Resour. Res. 28, 1955-1974 (1992). doi: 10. 1029/92WR00607.
20. Güven O., Molz F. J., Melville J. G.: An analysis of dispersion in a stratified aquifer. Water Resour. Res. 20, 1337-1354 (1984). doi: 10. 1029/WR020i010p01337.
21. Han N., Bhakta J., Carbonell R. G.: Longitudinal and lateral dispersion in packed beds: Effect of column length and particle size distribution. AIChE J. 31, 277-288 (1985). doi: 10. 1002/aic. 690310215.
22. Hidajat, I., Mohanty, K. K., Flaum, M., Hirasaki, G.: Study of vuggy carbonates using NMR and X-Ray CT scanning. SPE Reservoir Evaluation and Engineering, October (2004).
23. Lenormand R.: Determining flow equations from stochastic properties of a permeability field: The MHD model. SPE J. 1, 179-190 (1996).
24. Marle C. M., Simandoux P., Pacsirszky J., Gaulier C.: Etude du déplacement de fluids miscibles en milieu poreux stratifié. Rev. Inst. Fr. Pet. 22, 272-294 (1967).
25. Matheron G., de Marsily G.: Is transport in porous media always diffusive? A counterexample. Water Resour. Res. 16, 901-917 (1980). doi: 10. 1029/WR016i005p00901.
26. Mercado A., de Marsily G.: The spreading pattern of injected waters in a permeability stratified aquifer. IAHS AISH Publ. 72, 23-36 (1967).
27. Moctezuma-B, A., Fleury, M.: Permeability mapping on vuggy core sample using tracer experiments and streamline simulations. SCA paper 9919 Golden, USA (1999).
28. Naff R. L.: On the nature of the dispersive flux in saturated heterogeneous porous media. Water Resour. Res. 5, 1013-1026 (1990).
29. Olivier, P., Cantegrel, L., Laveissière, J., Guillonneau, N.: Multiphase flow behaviour in vugular carbonates using X-Ray CT, SCA paper 2004-13, Abu Dhabi, UAE (2004).
30. Rajaram H., Gelhar L. W.: Plume scale-dependent dispersion in heterogeneous aquifers, 2, Eulerian analysis and three dimensional aquifers. Water Resour. Res. 29, 3261-3276 (1993). doi: 10. 1029/93WR01068.
31. Siddiqui, S., Funk, J., Khamees, A.: Static and dynamic measurements of resevoir heterogeneities in carbonate reservoirs, SCA paper 2000-06, Abu Dhabi, UAE (2000).
32. Srivastava R. K., Chatzis I., Dullien A. L.: A computerized technique for measuring in-situ concentrations during miscible displacements in porous media. Transp. Porous Media 7, 127-145 (1992). doi: 10. 1007/BF00647393.
33. Sternberg S. P. K.: Dispersion measurements in highly heterogeneous laboratory scale porous media. Transp. Porous Media 54, 107-124 (2004). doi: 10. 1023/A: 1025708313812.