Kozeny-Carman and empirical formula for the permeability of computer rock models

International Journal of Rock Mechanics and Mining Sciences

Volumn 50, Issue , 2012, Pages 117-123

  Latief, Fourier Dzar Eljabbar ^a   Fauzi, Umar ^a  

^a BANDUNG INSTITUTE OF TECHNOLOGY   (Indonesia)

Author keywords

Lattice Boltzmann method; Permeability; Pigeon hole model; Tortuosity

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; KINETIC THEORY; MECHANICAL PERMEABILITY; MICROSTRUCTURE; PETROLEUM RESERVOIR ENGINEERING; ROCKS;

EMPIRICAL FORMULAS; ENGINEERING GEOPHYSICS; KOZENY-CARMAN FORMULA; LATTICE BOLTZMANN METHOD; PERMEABILITY; PIGEON HOLE MODEL; RESERVOIR ENGINEERING; ROCK MICROSTRUCTURE; ROCK MODELS; TORTUOSITY;

POROSITY;

EMPIRICAL ANALYSIS; LABORATORY METHOD; NUMERICAL MODEL; PARAMETERIZATION; PERMEABILITY; POROSITY; PREDICTION; ROCK MECHANICS; ROCK MICROSTRUCTURE; THREE-DIMENSIONAL MODELING; TORTUOSITY;

COLUMBA;

EID: 84857654610     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijrmms.2011.12.005     Document Type: Article

References (42)

1. Chatzis I., Dullien F. Modelling pore structure by 2-D and 3-D networks with applications to sandstones. J Can Petrol Technol 1977, 16:97-108.
2. Tomutsa L, Saharon V. Focussed ion beam assisted three-dimensional rock imaging at submicron-scale. In: Proceedings of International Symposium of the Society of Core Analysts, paper SCA2003-47; 2003.
3. Dunsmuir J., Ferguson S., D'Amico K. Design and operation of an imaging X-ray detector for microtomography. Phys Lett 1991, 121:257-261.
4. Spanne P., Thovert J., Jacquin J., Lindquist W., Jones K., Adler P.M. Synchrotron computed microtomography of porous media: topology and transports. Phys Rev Lett 1994, 73(14):2001-2004.
5. Coles M.E., Hazlett R.D., Muegge E.L., Jones K.W., Andrews B., Dowd B., et al. Developments in synchrotron X-ray microtomography with applications to fl{ligature}ow in porous media. SPE Reserv Eval Eng 1998, 1(4):288-296.
6. Quintanilla J., Chen J., Reidy R., Allen A. Versatility and robustness of Gaussian random fi{ligature}elds for modelling random media. Model Simul Mater Sci Eng 2007, 15:S337-S351.
7. Thovert J.F., Yousefi{ligature}an F., Spanne P., Jacquin C., Adler P. Grain reconstruction of porous media: application to a low-porosity Fontainebleau sandstone. Phys Rev E 2001, 63:307-323.
8. Hazlett R. Statistical characterization and stochastic modeling of pore networks in relation to fl{ligature}uid fl{ligature}ow. Math Geol 1997, 29:801-822.
9. Okabe H., Blunt M. Prediction of permeability for porous media reconstructed using multiple-point statistics. Phys Rev E 2004, 70: paper 066135.
10. Sundararaghavan V., Zabaras N. Classifi{ligature}cation and reconstruction of three- dimensional microstructures using support vector machines. Comput Mater Sci 2005, 32:223-239.
11. Issa M.A., MdS Islam, Chudnovsky A. Fractal dimension-a measure of fracture roughness and toughness of concrete. Eng Fract Mech 2003, 70:125-137.
12. Renard F., Bernard D., Desrues J., Plougonven E., Ougier-Simonin A. Characterization of hydraulic fractures in limestones using X-ray microtomography. Advances in x-ray tomography for geomaterials 2006, 221-227. ISTE, London. J. Desrues, G. Viggiani, P. Bésuelle (Eds.).
13. Khokhlov A.G., Valiullin R.R., Stepovich M.A., Kärger J. Characterization of pore size distribution in porous silicon by NMR cryoporosimetry and adsorption methods. Colloid J 2008, 70:507-514.
14. Fredrich J.T., DiGiovanni A.A., Noble D.R. Predicting macroscopic transport properties using microscopic image data. J Geophys Res 2006, 111:B03201.
15. Kameda A Permeability Evolution in Sandstone: Digital Rock Approach. PhD dissertation: Stanford University; 2004.
16. Pape H., Riepe L., Schopper J.R. A pigeon-hole model for relating permeability to specifi{ligature}c surface. Log Analyst 1982, 23(1):5-13. Errata, Log Analyst 23(2):50.
17. Latief F.D.E., Fauzi U., Bijaksana S., Bindar Y. Pore structure characterization of 3D random pigeon hole rock models. Int J Rock Mech Min 2010, 47:523-531.
18. Pape H., Riepe L., Schopper J.R. Interlayer conductivity of rocks-a fractal model of interface irregularities for calculating interlayer conductivity of natural porous mineral systems. Colloid Surf Sci 1987, 27:97-122.
19. Pape H., Schopper J.R. Relations between physically relevant geometrical properties of a multifractal poroussystem. Characterization of porous solids 1988, 473-482. Elsevier, Amsterdam. K.K. Unger (Ed.).
20. Pape H., Clauser C., Iffl{ligature}and J. Variation of permeability with porosity in sandstone diagenesis interpreted with a fractal pore space model. Pure Appl Geophys 2000, 157:603-619.
21. Fauzi U. Microstructure characterization of pigeon hole rock models at different scale: a preliminary study. Indones J Phys 2007, 18(3):73-76.
22. Øren P.E., Bakke S. Process based reconstruction of sandstones and prediction of transport properties. Transp Porous Media 2002, 46:311-343.
23. Biswal B., Manwart C., Hilfer R., Bakke S., Øren P.E. Quantitative analysis of experimental and synthetic microstructures for sedimentary rock. Physica A 1999, 273:452-545.
24. Pilotti M. Reconstruction of clastic porous media. Transport Porous Med 2000, 41:359-364.
25. Øren PE, Antonsen F, Rueslåtten HG, Bakke S. Numerical simulations of NMR responses for improved interpretations of NMR measurements in reservoir rocks. In: Proceedings of SPE Annual Technical Conference and Exhibition, paper SPE 77398; 2002.
26. Biswal B., Øren P.E., Bakke S., Held R.J., Hilfer R. Stochastic multiscale model for carbonate rocks. Phys Rev E 2007, 75(6):061303.
27. Biswal B., Øren P.E., Held R.J., Bakke S., Hilfer R. Modeling of multiscale porous media. Image Anal Stereol 2009, 28(1):23-34.
28. Latief F.D.E., Biswal B., Fauzi U., Hilfer R. Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone. Physica A 2010, 389(8):1607-1618.
29. Rajani B.B. A simple model for describing variation of permeability with porosity for unconsolidated sands. In Situ 1988, 12(3):209-226.
30. Ghabezloo S., Sulem J., Saint-Marc J. Evaluation of a permeability-porosity relation in a low-permeability creeping material using a single transient test. Int J Rock Mech Min 2009, 46(3):761-768.
31. Carman P.C. L'écoulement des Gaz á Travers les Milieux Poreux (The flow of gas through Porous Media), Bibliothéque des Sciences et Techniques Nucléaires 1961, Presses Universitaires de France, Paris.
32. Fauzi U, Ariwibowo T, Feranie S Dependence of tortuosity on porosity of rock models. In: Proceeding of the SEGJ Conference 117; 2007, p. 267-70.
33. Aaltosalmi U. Fluid flow in porous media with the Lattice-Boltzmann Method. PhD dissertation. Finland: University of Jyväskylä 2005.
34. Mavko G., Nur A. The effect of a percolation threshold in the Kozeny-Carman relation. Geophysics 1997, 62(5):1480-1482.
35. Tixier M.P. Evaluation of permeability from electric-log resistivity gradients. Oil Gas J 1949, 48(6):113-122.
36. Wyllie M.R.J., Rose W.D. Some theoretical considerations related to the quantitative evaluation of the physical characteristics of reservoir rock from electrical log data. J Petrol Technol 1950, 189:105-118.
37. Timur A. An investigation of permeability, porosity and residual water saturation relationship for sandstone reservoirs. The Log Analyst 1968, 9:8-17.
38. Fauzi U. Untersuchungen zur Charakterisierung der Porengeometrie von Gesteinen zur Abschätzung der hydraulischen Permebailität und des Formationsfaktors mit Hilfe von Bildanalysen (Research into the characterization of the pore geometry of rocks to estimate hydraulic permeability and the formation factor using image analysis), PhD dissertation: University of Cologne; 1997.
39. Bernabé Y., Li M., Maineult A. Permeability and pore connectivity: A new model based on network simulations. J Geophys Res 2010, 115(10):B10203.
40. Lock P.A., Jing X.D., Zimmerman R.W., Schlueter E.M. Predicting the permeability of sandstone from image analysis of pore structure. J Appl Phys 2002, 92:6311-6319.
41. Bourbié T., Zinszner B. Hydraulic and acoustic properties as a function of porosity in Fontainebleau sandstone. J Geophys Res 1985, 90(B13):11524-11532.
42. Pape H., Clauser C., Iffland J., Krug R. Wagner. Anhydrite cementation and compaction in geothermal reservoirs: Interaction of pore-space structure with flow, transport, P-T conditions, and chemical reactions. Int J Rock Mech Min 2005, 42:1056-1069.