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《Progress In Geophysics》 2005-01
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A new method for theoretical modeling and numerical experiments on petrophysical studies

TAO Guo, YUE Wen-zheng, XIE Ran-hong, ZHU yi-hua (University of Petroleum, Beijing 102249, China)  
The rapid development of modern physical sciences and computer technology opened new prospects for petrophysical studies Now, the Lattice Gas Automation (LGA) and Lattice Boltzmann (LB) are such powerful tools to study the micro dynamics of fluid flow and electrical current in a complex media. It can provide insight into the mechanisms of the micro phenomenon. In this study, we studied electrical transport properties of porous media with 2D LGA. Contrary to the traditional viewpoints,our simulating results clearly disclosed the physical meaning of the Archie parameters a, b, m, n. The simulation results also demonstrate that the so called non-Archie behavior of the porous rocks is the inherent nature of the complex current paths of the rock matrix and pore fluids mixture. It is proved by our results that Archie equations are merely the linearized approximations of F- and I-S w relations of porous media in the moderate ranges of porosity and fluid saturation. We thus developed a set of new equations to calculate fluid saturation with electrical measurements. The new equations can be applied to much broader ranges of porosity and fluid saturation with higher accuracy. Investigations on electrically anisotropic porous media are also carried out to simulate the F- and I-S w relations along different directions. We found it would result in erroneous for electrically anisotropic rocks if we apply the F- and I-S w relations obtained by the measurements along one direction. A new formula was developed to combine the measurements in all directions to calculate fluid saturation in anisotropic media. We finally discussed in this paper the prospects of applying LGA and LB to simulate acoustic and nuclear magnetic resonance fields to determine the production parameters of complex reservoirs.
【Fund】: 国家自然科学基金项目(50374048)资助.
【CateGory Index】: P631.8
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