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Отправлено: 20.08.10 02:57. Заголовок: Numerical experiments for the conductive properties of saturated rock
WenZheng Yue and Guo Tao Numerical experiments for the conductive properties of saturated rock Science in China Series D: Earth Sciences Volume 51, Supplement 2, 174-180, DOI: 10.1007/s11430-008-6006-9 Abstract The reservoir evaluation as a key technology in oil exploration and production is based on the electrical transport property (ETP) of saturated rock that is described in a mathematical form with Arhcie s equation. But there have been increasing cases observed in many researches indicating that the ETP is non-Archie especially for the complex reservoir with low porosity and permeability. In this paper, the numerical experiments based on the Lattice Boltzmann method (LBM) have been employed to study the effect of porous structure and fluids on the ETP for revealing the nature of non-Archie phenomenon in micro-scale. The results of numerical experiments have proved that the saturation exponent n is a function of water saturation and porosity instead of being a constant in Archie’s equation. And then, a new formula has been developed for the EPT through combining the result of numerical simulation with that of laboratory measurements. The calculations from the new formula show very good agreement with laboratory measurements to demonstrate the efficiency of the new formula over the conventional methods in non-Archie rock. Keywords electrical transport property - non-Archie phenomenon - fluid saturation - porous media - Lattice Boltzmann method Supported by the National Natural Science Foundation of China (Grant Nos. 50404001 and 50374048), and the National Key Fundamental R&D Project (Grant No. 2007CB209601), also by the China National Petroleum Cooperation Fundamental Research Program (Grant No. 06A30102) References Archie G E. The electrical resistivity log as an aid in determining some reservoir characteristics. Trans Am Inst Mech Eng, 1942, 146: 54–61 Li N. Generalization of the resistivity-porosity and resistivity-oil gas saturation relations, as well as the determination of their optimism approximation function. Chin J Geophys (Acta Geophys Sin) (in Chinese), 1989, 32(5): 580–591 Jing X D, Gillespie A, Trewin B M. Resistivity index from non-equilibrium measurements using detailed in-situ saturation monitoring. In: SPE Offshore European Conference, Aberdeen, 1993. 456–464 Al-kaabi A U, Mimoune K, Al-Yousef H Y. Effects of hysteresis on the Archie saturation exponent. In: SPE Middle East Oil Conference and Exhibition, Manama, 1997. 497–503 Li Z B, Mo X W. Study on the electric property of Shaly sand and its interpretation method. J Geosci Res Northeast Asia, 1999, 2(1): 110–114 Xie R H, Gao G Z, Feng Q N, et al. Wettability forecast of reservoirs using log data. Well Log Tech (in Chinese), 2002, 26(4): 265–268 Suman R J, Knight R J. Effects of pore structure and wettability on the electrical resistivity of partially saturated rocks—A network study. Geophysics, 1997, 62(4): 1151–1162 Stalheim S O, Eidesmo T, Rueslatten H. Influence of wettability on water saturation modeling. J Petro Sci Eng, 1999, 24: 243–253 Man H N, Jing X D. Network modeling of strong and intermediate wettability on electrical resistivity and capillary pressure. Adv Water Res, 2001, 24: 345–363 Man H N, Jing X D. Network modeling of mixed-wettability on electrical resistivity, capillary pressure and wettability indices. J Petro Sci Eng, 2002, 33: 101–122 Ma B, Lei S Y, Hao J P, et al. Simulation of fluid flow in micro-channel by lattice Boltzmann method. J Guangxi Norm Univ (Nat Sci Ed) (in Chinese), 2003, 21(2): 20–24 Yue W Z. Electrical transport properties of fluids saturated porous media by 2D lattice gas automation (in Chinese). Dissertation for the Doctoral Degree. Beijing: School of Earth Resources and Information Technology, University of Petroleum, 2003 Shi W P, Hu S X, Yan G W. A lattice Boltzmann equation method for the shallow water wave equations. Chin J Theor Appl Mech (in Chinese), 1997, 29(5): 525–529 Norman M, Tommaso T, Gerard V. Cellular-automata supercomputers for fluid-dynamic modeling. Phys Rev Lett, 1986, 56: 1694–1696 McNamara G R, Zanetti G. Use of the Boltzmann equation to simulation lattice gas automata. Phys Rev Lett, 1988, 61: 2332–2335 Hignera F J, Jimenez J. Boltzmann approach to lattice gas simulation. Europhys Lett, 1989, 9: 663–668 Chen H, Chen S, Matthaeus W H. Recovery of the Navier-Stokes equation using a lattice gas boltzmann method. Phys Rev A, 1991, 45: 5339–5342 Qian Y H, D Humieres D, Lallemand P. Lattice BGK model for Navier-Stokes equation. Europhys Lett, 1992, 17: 479–484 Langaas K, Grubert D. Lattice Boltzmann simulation of wetting and its application to disproportionate permeability reducing gel. J Petro Sci Eng, 1999, 24: 199–211 Dardis O, McCloskey J. Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in poros media. Phys Rev E, 1998, 57(4): 4834–4837 Orlandini E, Swift M R, Yeomans J M. A Lattice Boltzmann model of binary fluid mixtures. Europhys Lett, 1995, 32(5): 463–465 Sprunt E S, Desal K P, Coles M E, et al. CT-scan-monitored electrical resistivity measurements show problems achieving homogeneous saturation. SPE Form Eval, 1991, 6: 134–140 Raiga-Clemenceau J, Fraisse C, Grosjean Y. The dual porosity model, a newly developed interpretation method for shaly sands. In: SPWLA 25th Annual Logging Symposium, New Orleans, 1984. Paper F
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