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二维格子气自动机模拟孔隙介质的电传输特性
引用本文:岳文正,陶果,朱克勤.二维格子气自动机模拟孔隙介质的电传输特性[J].地球物理学报,2005,48(1):189-195.
作者姓名:岳文正  陶果  朱克勤
作者单位:清华大学工程力学系,北京,100084;石油大学CNPC测井重点实验室,北京,102249;石油大学CNPC测井重点实验室,北京,102249;清华大学工程力学系,北京,100084
基金项目:国家自然科学基金项目 (5 0 40 40 0 1)和 (5 0 3 740 48),中国博士后科学基金 (2 0 0 40 3 5 0 3 5 0 ),CNPC中青年创新基金 (2 0 0 1CX_16)联合资助
摘    要:本文应用2-D格子气自动机模拟饱和油水两相的多孔介质的导电特性。在油水两相界面处,引入反射与透射系数来决定粒子的运动状态,通过调节反射与透射系数就可以改变油水两相的导电性差异。用模拟结果考察Archie公式的地层因素F=R0/Rw和电阻率增大系数I=Rt/R0,其中,R0为百分之百饱和水时的岩石电阻率,Rw为水的电阻率,Rt为不同流体饮和度时的岩石电阻率。结果表明F与孔隙度φ间,I与含水饱和度间都存在幂关系,并可以表示为F=aφ-m,I=bS-nw模拟结果同时证实:公式中的参数a、m的变化反映了孔隙微观结构的变化,参数b、n主要受孔隙度大小和油相分布状态的影响。

关 键 词:地层电阻率  Archie公式  孔隙结构  格子气自动机
文章编号:0001-5733(2005)01-0189-07
收稿时间:2003-10-31
修稿时间:2004-09-09

Simulation of electrical transport properties in oil-water saturated porous media with 2-D lattice gas automata
YUE Wen-Zheng ,TAO Guo ,ZHU Ke-Qin.Simulation of electrical transport properties in oil-water saturated porous media with 2-D lattice gas automata[J].Chinese Journal of Geophysics,2005,48(1):189-195.
Authors:YUE Wen-Zheng    TAO Guo  ZHU Ke-Qin
Institution:1.Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China 2 CNPC Key Lab of Well-logging,University of Petroleum,Beijing 102249,China
Abstract:The Lattice Gas Automata method is used to research the electrical transport properties of porous media saturated with oil-water.We intoduce the reflective coefficient on the border between phases to demonstrate how free the lattice gas particles can go through them,so the difference of electrical transport properties could be changed by adjusting the reflctive coefficient.The simulation results show that there are power law relations:F=aφ-m and I=bS-nw with the definition of F=R0/Rw,I=Rt /R0where a,b,mand n are constants,φis the porosity,Sw is the water saturation,R0the resistivity of porous media fully saturated with water,Rw the resistivity of water, and Rt the resistivity of oil-water saturated porous media.The parameters a and m are strongly dependent on the micro-scale structure of porosity,and the parameters b and n are affected by the distribution of fluids and the porosity.
Keywords:Formation resistivity  Archie formula  Saturated porous medium  Lattice gas automation  Resistivity index  
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