Effect of diffusion on dispersion

SPE Journal

Volumn 16, Issue 1, 2011, Pages 65-77

  Jha, Raman K ^a   Bryant, Steven L ^b   Lake, Larry W ^b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; DIFFUSION; DISPERSIONS; FLOW VELOCITY; HYDRODYNAMICS; PORE STRUCTURE; TOPOLOGY; VELOCITY;

CONVECTION AND DIFFUSION; DISPERSION COEFFICIENT; FLOW THROUGH POROUS MEDIAS; HYDRODYNAMIC DISPERSIONS; PARABOLIC VELOCITY PROFILE; POWER-LAW DEPENDENCES; QUANTITATIVE ASSESSMENTS; SPATIAL CORRELATIONS;

PECLET NUMBER;

EID: 79952941375     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/115961-PA     Document Type: Article

References (31)

1. Acharya, R.C., van Dijke, M.I.J., Sorbie, KS., van der Zee, S.E.A.T.M., and Leijnse, A. 2007. Quantification of longitudinal dispersion by upscaling Brownian motion of tracer displacement in a 3D pore scale network model. Advances in Water Resources 30 (2): 199-213. doi: 10.101 6/j.advwatres.2005.04.0 17. (Pubitemid 44817498)
2. Bear, J. 1972. Dynamics of Fluids in Porous Media. New York: Elsevier.
3. Bijeljic, B., Muggeridge, A.H., and Blunt, M.J. 2004. Pore scale modeling of longitudinal dispersion. Water Resources Research 40 (11): 1-9. doi: 10. 1029/2004WR003567.
4. Bruderer, C. and Bernabe, Y. 2001. Network modeling of dispersion: Tran sition from Taylor dispersion in homogeneous networks to mechanical dispersion in very heterogeneous ones. Water Resources Research 37 (4): 897-908. doi: 10.1029/2000WR900362. (Pubitemid 32516045)
5. Bryant. S.L.. King. P.R.. and Mellor. D.W. 1993. Network Model Evaluation of permeability and spatial correlation in a real random sphere packing. Transport in Porous Media 11 (1): 53-70. doi: 10.1007/ BFOO6 14635.
6. Cenedese, A. and Viotti, P. 1996. Lagrangian Analysis of Nonreactive Pollutant Dispersion in Porous Media by Means of the Particle Image Velocimetry Technique. Water Resout: Res. 32 (8): 2329-2343. doi: 10.1 029/96WR00605.
7. Chandrasekhar, S. 1943. Stochastic Problems in Physics and Astronomy. Ret: Mod. Phyv. 15 (1): 1-89. doi: 10.1 l03/RevModPhys. 15.1.
8. Coats, K.H., Whitson, C.H., and Thomas, L.K. 2004. Modeling confor mance as dispersion. Paper SPE 90390 presented at the SPE Annual Technical Conference and Exhibition, Houston, 26 29 September. doi: 10.2118/90390 MS.
9. Duplay, R. and Sen, P.N. 2004. Influence of local geometry and transition to dispersive regime by mechanical mixing in porous media. Phys. Ret: L 70 (6): 066309. doi: 10.1 103/PhysRevE.70.066309.
10. Garmeh, G., Johns, R.T., and Lake, L.W. 2007. Pore Scale Simulation of Dispersion in Porous Media. Paper SPE 110228 presented at the SPE Annual Technical Conference and Exhibition, Anaheim, California, USA, Il 14 November. doi: 10.2118/110228 MS.
11. Hiby, J.W. 1962. Longitudinal and transverse mixing during single phase flow through granular beds. In Proceedings of the Symposium on the Interaction Between Fluids and Particles, London, 20 22 June, 1962, ed. P.A. Rottenburg. London: Institution of Chemical Engineers.
12. Jha, R.K. 2008. Inestigation of local mixing and its influence on core scale mixing (dispersion). PhD dissertation, University of Texas, Austin, Texas.
13. Jha, R.K., John, A., Bryant, S.L., and Lake, L.W. 2009. Flow Reversal and Mix ing. SPE J. 14 (1): 41-49. SPE 103054 PA. doi: 10.2118/103054 PA.
14. John, A.K., Lake, L.W., Bryant, S.L., and Jennings, J.W. 2008. Investiga tion of Field Scale Dispersion. Paper SPE 113429 presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa, 19-23 April. doi: 10.2118/113429-MS.
15. Kandhai, D., Hlushkou, D., Hoekstra, A.G., Sloot, P.M.A., Van As, H., and Tallarek, U. 2002. Influence of Stagnant Zones on Transient and Asymptotic Dispersion in Macroscopically Homogeneous Porous Media. Phys. Ret: Lett. 88 (23): 234501. doi: 10.1 l03/PhysRe Lett.88.234501.
16. Khrapitchev, A.A. and Callaghan, P.T. 2003. Reversible and irreversible dispersion in a porous medium. Phys. Fluids 15 (9): 2649-2660. doi: 10.1063/1.1596914. (Pubitemid 37207854)
17. Koch, D.L. and Barady, D.F. 1985. Dispersion in Fixed Beds. Journal of Fluid Mechanics 154: 399-427. doi: lO.lOl7/S0022l 12085001598.
18. Lake, L.W. 1989. Enhanced Oil Recovery. Englewood Cliffs, New Jersey: Prentice-Hall.
19. Lebon, L., Leblond, J., and Hulin, J.P. 1997. Experimental measurement of dispersion processes at short times using a pulsed gradient NMR technique. Phys. Fluids 9 (3): 481-490. doi: 10.1063/1.869208.
20. Manz, B., Alexander, P., and Gladden, L.F. 1999. Correlations between dispersion and structure in porous media probed by nuclear magnetic resonance. Phys. Fluids 11(2): 259-267. doi: 10.1063/1.869876. (Pubitemid 129658532)
21. Mellor, D.W. 1989. Random close packiog (RCP) of equal spheres: structure aod implications for use as a model porous medium. PhD thesis, Department of Earh Sciences, The Open University, Milton Keynes, UK.
22. Moroni, M. and Cushman, J.H. 2001. Three dimensional particle tracking elocimetry studies of the transition from pore dispersion to Fickian dispersion for homogeneous porous media. Water Resout: Res. 37 (4): 873-884. doi: l0.1029/2000WR900364. (Pubitemid 32516043)
23. Perkins, T.K., and Johnston, O.C. 1963. A Review of Diffusion and Dis persion in Porous Mcdiii. SPL 1 3 (I): 70-84; Trans, AIME, 228. SPE 480 PA. doi: 10.2118/480 PA.
24. Pfannkuch, HO. 1963. Contribution a l'etude des deplacements de fluie des miscibles dans un milieu poreux. Revue Francaise de l'institut du Pétrole 18: 215-270.
25. Saffinan, PG. 1959.A theory of dispersion in a porous medium. Journal of Fluid Mechanics 6 (3): 321-349. doi: l0.1017/S00221 12059000672.
26. Sahimi, M., Hughes, B.D., Scriven, L.E., and Davis, H.T. 1986. Dispersion in flow through porous media-I. One phase flow. Chemical Engineering Science 41(8): 2103-2122. doi: 10.1016/0009 2509(86)87128-7. (Pubitemid 16633985)
27. Seymour, J.D. and Callaghan, P.T. 1997. Generalized approach to NMR analysis of flow and dispersion in porous media. AIChE Journal 43 (8): 2096-2111. doi: 10. 1002/aic.690430817.
28. Stöhr, M. 2003. Analysis of flow and transport in refractive index matched porous media. PhD thesis, University of Heidelberg, Heidelberg, Ger many (July 2003).
29. Taylor, G.I. 1953. Dispersion of soluble matter in solvent flowing slowly through a tube. Proceedings of the Royal Society of London: Series A, Mathematical and Physical Sciences 219 (1137): 186-203. doi: 10. 1098/rspa. 1953.0139.
30. Taylor, G.I. 1972. Low Reynolds number flows. VHS produced by Educa tional Services Incorporated under the direction of the National Com mittee for Fluid Mechanics Films. Chicago, Illinois: Encyclopaedia Britannica Educational Corporation.
31. Thane, C.G. 2006. Geometry and Topology of Model Sediments and Their Influence on Sediment Properties. MS thesis, University of Texas at Austin, Austin, Texas.