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Отправлено: 09.08.08 14:12. Заголовок: A New Method for Calculating Two-Phase Relative Permeability from Resistivity Data in Porous Media
A New Method for Calculating Two-Phase Relative Permeability from Resistivity Data in Porous Media -------------------------------------------------------------------------------- A New Method for Calculating Two-Phase Relative Permeability from Resistivity Data in Porous Media Transport in Porous Media Springer Netherlands ISSN 0169-3913 (Print) 1573-1634 (Online) Volume 74, Number 1 / Август 2008 г. DOI 10.1007/s11242-007-9178-4 pp. 21-33 A New Method for Calculating Two-Phase Relative Permeability from Resistivity Data in Porous Media Kewen Li1, 2 (1) Energy Resources Engineering, Stanford University, Stanford, USA (2) College of Engineering, Peking University, Beijing, China Received: 28 March 2006 Accepted: 16 October 2007 Published online: 13 December 2007 Abstract Many resistivity data from laboratory measurements and well logging are available. Papers on the relationship between resistivity and relative permeability have been few. To this end, a new method was developed to infer two-phase relative permeability from the resistivity data in a consolidated porous medium. It was found that the wetting phase relative permeability is inversely proportional to the resistivity index of a porous medium. The proposed model was verified using the experimental data in different rocks (Berea, Boise sandstone, and limestone) at different temperatures up to 300°F. The results demonstrated that the oil and water relative permeabilities calculated from the experimental resistivity data by using the model proposed in this article were close to those calculated from the capillary pressure data in the rock samples with different porosities and permeabilities. The results demonstrated that the proposed approach to calculating two-phase relative permeability from resistivity data works satisfactorily in the cases studied. Keywords Relative permeability model - Resistivity index - Capillary pressure - Wetting phase saturation -------------------------------------------------------------------------------- Kewen Li Email: kewenli@stanford.edu References Archie, G.E.: The electrical resistivity log as an aid in determining some reservoir characteristics. AIME Petroleum Tech. 1–8 (1942) Brooks R.H. and Corey A.T. (1966). Properties of porous media affecting fluid flow. J. Irrig. Drain. Div. 6: 61 Burdine N.T. (1953). Relative permeability calculations from pore size distribution data. Trans. AIME 198: 71 Corey A.T. (1954). The interrelation between gas and oil relative permeabilities. Prod. Mon. 19: 38 Demond A.H. and Roberts P.V. (1993). Estimation of 2-phase relative permeability relationships for organic liquid contaminants. Water Resour. Res. 29(4): 1081–1090 Fatt I. (1956). The network model of porous media, III Dynamic properties of networks with tube radius distribution. 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