Object-oriented approach for the pore-scale simulation of DC electrical conductivity of two-phase saturated porous media

Geophysics

Volumn 73, Issue 2, 2008, Pages

  Toumelin, Emmanuel ^a,b   Torres Verdín, Carlos ^a  

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

^b CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

Author keywords

Clay; Geophysical techniques; Hydrocarbon reservoirs; Porosity; Rocks; Soil; Terrestrial electricity

Indexed keywords

CLAY; ELECTRIC CONDUCTIVITY; FILM THICKNESS; POROSITY; POROUS MATERIALS; POSITIVE IONS; RANDOM PROCESSES; ROCKS; SOILS; SOLVENTS; SURFACE ROUGHNESS;

CAPILLARY PRESSURE CURVES; DC ELECTRICAL CONDUCTIVITY; ELECTRICAL CONDUCTIVITY; GEOPHYSICAL TECHNIQUES; HYDROCARBON RESERVOIR; OBJECT ORIENTED APPROACH; SATURATED POROUS MEDIA; TERRESTRIAL ELECTRICITY;

THIN FILMS;

COMPUTER SIMULATION; ELECTRICAL CONDUCTIVITY; HYDROCARBON RESERVOIR; POROSITY; POROUS MEDIUM; ROCK PROPERTY; SATURATED MEDIUM;

EID: 58149215667     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2836675     Document Type: Article

References (42)

1. Adler, P. M., C. G. Jacquin, and J.-F. Thovert, 1992, The formation factor of reconstructed porous media: Water Resources Research, 28, 1571-1576. wre WRERAQ 0043-1397 10.1029/92WR00059
2. Archie, G. E., 1942, The electrical resistivity log as an aid to determining some reservoir characteristics: Transactions of the American Institute of Mining, Metallurgic and Petroleum Engineers, 146, 54-62. tae TAIMAF 0096-4778
3. Argaud, M., H. Giouse, C. Straley, J. Tomanic, and K. Winkler, 1989, Salinity and saturation effects on shaly sandstone conductivity: 64th Annual Technical Conference and Exhibition, SPE, Paper SPE 19577.
4. Barber, C. B., D. P. Dobkin, and H. T. Huhdanpaa, 1996, The Quickhull algorithm for convex hulls: Association for Computing Machinery Transactions on Mathematical Software, 22, 469-483.
5. Bryant, S., and N. Pallatt, 1996, Predicting formation factor and resistivity index in simple sandstones: Journal of Petroleum Science and Engineering, 15, 169-176. 9c3 JPSEE6 0920-4105 10.1016/ 0920-4105(95)00066-6
6. Clennell, M. B., 1997, Tortuosity: A guide through the maze, in M. A. Lovell and P. K. Harvey, eds., Developments in petrophysics: Geological Society Special Publication, 122, 299-344. b3o GSSPDQ 0305-8719
7. Cortis, A., and C. Knudby, 2006, A continuous time random walk approach to transient flow in heterogeneous porous media: Water Resources Research, 42, W10201. wre WRERAQ 0043-1397 10.1029/2006WR005227
8. De Lima, O. A. L., and M. M. Sharma, 1990, A grain conductivity approach to shaly sandstones: Geophysics, 55, 1347-1356. gpy GPYSA7 0016-8033 10.1190/1.1442782
9. De Lima, O. A. L., and M. M. Sharma, 1992, A general Maxwell-Wagner theory for membrane polarization in shaly sands: Geophysics, 57, 431-440. gpy GPYSA7 0016-8033 10.1190/1.1443257
10. Devarajan, S., E. Toumelin, C. Torres-Verdín, and E. C. Thomas, 2006, Pore-scale analysis of the Waxman-Smits shaly-sand conductivity model: 47th Annual Logging Symposium, Society of Petrophysicists and Well Log Analysts, Paper M.
11. Diederix, K. M., 1982, Anomalous relationships between resistivity index and water saturations in the Rotliegend sandstone (the Netherlands): 23rd Annual Logging Symposium, Society of Petrophysicists and Well Log Analysts, Paper X.
12. Doyen, P., 1988, Permeability, conductivity and pore geometry of sandstones: Journal of Geophysical Research - Solid Earth, 93, 7729-7740. 9ye JGREA2 0148-0227 10.1029/JB093iB07p07729
13. Einstein, A., 1956, Investigation on the theory of the Brownian movement: Dover Publications Inc.
14. Finney, J. L., 1970, Random packings and the structure of simple liquids: I. The geometry of random close packing: Proceedings of the Royal Society of London, A, 319, 1539.
15. Fleury, M., 2002, Resistivity in carbonates: New insights: 77th Annual Technical Conference and Exhibition, SPE, Paper SPE 77719.
16. Gladkikh, M., and S. Bryant, 2005, Prediction of imbibition in unconsolidated granular materials: Journal of Colloid and Interface Science, 288, 526-539. jci JCISA5 0021-9797 10.1016/j.jcis.2005.03.029
17. Grattoni, C. A., and R. A. Dawe, 1998, The effect of differences of multiphase spatial distributions on the electrical properties of porous media: The Log Analyst, 39, 47-59. 9sw ZZZZZZ 0024-581X
18. Hirasaki, G. J., 1991, Wettability: Fundamentals and surface forces: SPE Formation Evaluation, 6, 217-226. 8t5 SFEVEG 0885-923X 10.2118/17367-PA
19. Ioannidis, M. A., M. J. Kwiecien, and I. Chatzis, 1997, Electrical conductivity and percolation aspects of statistically homogeneous porous media: Transport in Porous Media, 29, 61-83. tpm TPMEEI 0169-3913 10.1023/A:1006557614527
20. Jin, G., C. Torres-Verdín, S. Devarajan, E. Toumelin, and E. C. Thomas, 2007, Pore-scale analysis of the Waxman-Smits shaly-sand conductivity model: Petrophysics, 48, 104-120.
21. Johnson, D. L., J. Koplik, and L. M. Schwartz, 1986, New pore-size parameter characterizing transport in porous media: Physical Review Letters, 57, 2564-2567. prl PRLTAO 0031-9007 10.1103/PhysRevLett.57.2564
22. Kim, I. C., and S. Torquato, 1990, Determination of the effective conductivity of heterogeneous media by Brownian motion simulation: Journal of Applied Physics, 68, 3892-3903. jap JAPIAU 0021-8979 10.1063/ 1.346276
23. Knight, R., 1991, Hysteresis in the electrical resistivity of partially saturated sandstones: Geophysics, 56, 2139-2147. gpy GPYSA7 0016-8033 10.1190/1.1443028
24. Kostek, S., L. M. Schwartz, and D. L. Johnson, 1992, Fluid permeability in porous media: Comparison of electrical estimates with hydrodynamical calculations: Physical Review B, 45, 186-195. prb PRBMDO 0163-1829 10.1103/PhysRevB.45.186
25. Kovscek, A. R., H. Wong, and C. J. Radke, 1993, A pore-level scenario for the development of mixed wettability in oil reservoirs:, 39, 1072-1085. akq ACSSCQ 0065-8812
26. Lenormand, R., E. Touboul, and C. Zarcone, 1988, Numerical models and experiments on immiscible displacements in porous media: Journal of Fluid Mechanics, 189, 165-187. jfl JFLSA7 0022-1120 10.1017/ S0022112088000953
27. Lenormand, R., and C. Zarcone, 1988, Physics of blob displacement in a two-dimensional porous medium: SPE Formation Evaluation, 3, 271-275. 8t5 SFEVEG 0885-923X 10.2118/14882-PA
28. Liang, Z., M. A. Ioannidis, and I. Chatzis, 2000, Permeability and electrical conductivity or porous media form 3D stochastic replicas of the microstructure: Chemical Engineering Science, 55, 5247-5262. cer CESCAC 0009-2509 10.1016/S0009-2509(00)00142-1
29. Longeron, D. G., M. J. Argaud, and J.-P. Feraud, 1989, Effect of overburden pressure and the nature and microscopic distribution of fluids on electrical properties of rock samples: SPE Formation Evaluation, 4, 194-202. 8t5 SFEVEG 0885-923X 10.2118/15383-PA
30. McCarthy, J. J., 1990a, Effective permeability of sandstone-shale reservoirs by a random-walk method: Journal of Physics A, 23, L445-L451. jpa JPHAC5 0305-4470 10.1088/0305-4470/23/9/008
31. McCarthy, J. J., 1990b, Effective conductivity of many-component composites by a random-walk method: Journal of Physics A, 23, L749-L753. jpa JPHAC5 0305-4470 10.1088/0305-4470/23/15/010
32. Øren, P. E., and S. Bakke, 2003, Reconstruction of Berea sandstone and pore-scale modeling of wettability effects: Journal of Petroleum Science and Engineering, 39, 177-199. 9c3 JPSEE6 0920-4105 10.1016/S0920-4105(03)00062-7
33. Ramakrishnan, T. S., L. M. Schwartz, E. J. Fordham, W. E. Kenyon, and D. J. Wilkinson, 1999, Forward models for nuclear magnetic resonance in carbonate rocks: The Log Analyst, 40, 260-270. 9sw ZZZZZZ 0024-581X
34. Rasmus, J. C., 1986, A summary of the effects of various pore geometries and their wettabilities on measured and in-situ values of cementation and saturation exponents: 27th Annual Logging Symposium, Society of Petrophysicists and Well Log Analysts, Paper PP.
35. Saadatfar, M., M. L. Turner, C. H. Arns, H. Averdunk, T. J. Senden, A. P. Sheppard, R. M. Sok, W. V. Pinczewski, J. Kelly, and M. A. Knackstedt, 2005, Rock fabric and texture from digital core analysis: 46th Annual Logging Symposium, Society of Petrophysicists and Well Log Analysts, Paper ZZ.
36. Schwartz, L. M., and J. R. Banavar, 1989, Transport properties of disordered continuum systems: Physical Review B, 39, 11965-11970. prb PRBMDO 0163-1829 10.1103/PhysRevB.39.11965
37. Stalheim, S. O., T. Eidesmo, and H. Rueslåtten, 1999, Influence of wettability on water saturation modelling: Journal of Petroleum Science and Engineering, 24, 243-253. 9c3 JPSEE6 0920-4105 10.1016/ S0920-4105(99)00046-7
38. Sweeney, S. A., and H. Y. Jennings, 1960, Effect of wettability on the electrical resistivity of carbonate rock from a petroleum reservoir: Journal of Physical Chemistry, 64, 551-553. jch JPCHAX 0022-3654 10.1021/ j100834a009
39. Toumelin, E., C. Torres-Verdín, B. Sun, and K.-J. Dunn, 2007, Random-walk technique for simulating NMR measurements and 2D NMR maps of porous media with relaxing and permeable boundaries: Journal of Magnetic Resonance, 188, 83-96. 8w6 JMARF3 1090-7807 10.1016/j.jmr.2007.05.024
40. Vizika, O., and A. C. Payakates, 1989, Parametric experimental study of forced imbibition in porous media: Physicochemical Hydrodynamics, 11, 187-204. pph PPHYD8 0191-9059
41. Wei, J.-Z., and O. B. Lile, 1991, Influence of wettability on two- and four-electrode resistivity measurements on Berea sandstone plugs: SPE Formation Evaluation, 6, 470-476. 8t5 SFEVEG 0885-923X
42. Zhou, D., S. Arbabi, and H. Stenby, 1997, A percolation study of wettability effects on the electrical properties of reservoir rocks: Transport in Porous Media, 29, 85-98. tpm TPMEEI 0169-3913 10.1023/ A:1006598111378