| 格子玻耳兹曼方法计算混合物整体电导率 |
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| 引用本文： | 岳文正,李征,朱克勤,陶果.格子玻耳兹曼方法计算混合物整体电导率[J].地球物理学报,2005,48(2):434-438. |
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| 作者姓名： | 岳文正 李征 朱克勤 陶果 |
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| 作者单位： | 1.清华大学工程力学系，北京100084 2 石油大学CNPC测井重点实验室，北京102249 |
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| 基金项目： | 国家自然科学基金项目 (5 0 3 740 48,5 0 40 40 0 1)，中国博士后科学基金项目 (2 0 0 40 3 5 0 3 5 0 )资助 |
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| 摘 要： | 本文采用格子玻耳兹曼方法计算混合物的整体电导率．整体电导率与各组分的电导率、体积分数和混合物结构有关．数值计算方法的有效性通过两相混合物并联或串联模型的解析解加以验证．对随机分布模型的计算发现格子玻耳兹曼方法得到的电导率落在H S理论边界内．对Al Bi合金整体电导率的数值模拟结果和实验结果非常相近．对饱和水岩石的介电常数的计算与实验结果相比误差较小．格子玻耳兹曼方法为混合物的整体电导率的计算提供了一个有效的途径.
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| 关 键 词： | 格子波尔兹曼 混合物电导率 介电常数 |
| 文章编号： | 0001-5733(2005)02-0434-05 |
| 收稿时间： | 2004-04-19 |
| 修稿时间： | 2004-10-16 |
The simulation of conductivity of binary mixtures with lattices Boltzmann method |
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| YUE Wen-Zheng,LI Zheng,ZHU Ke-Qin,Tao Guo.The simulation of conductivity of binary mixtures with lattices Boltzmann method[J].Chinese Journal of Geophysics,2005,48(2):434-438. |
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| Authors: | YUE Wen-Zheng LI Zheng ZHU Ke-Qin Tao Guo |
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| Institution: | 1.Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China 2 CNPC Key Lab of Well Logging, University of Petroleum, Beijing 102249, China |
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| Abstract: | The Lattice Boltzmann Method (LBM) is employed to simulate the conductivity of binary mixtures. The conductivity is affected by the conductivity of each component, volume fraction and structure of mixtures. The simulated results of conductivity for the binary mixtures in the serial and parallel modes are in agreement with the analytical solution to show the reliable of the LBM. The conductivity of the models with a random distribution of inclusion, obtained by the LBM, falls into the area predicted by H-S theory. The LBM is believed to be an efficient way to investigate the conductivity and the dielectric constant for the agreement between the simulation of the conductivity of Al-Bi alloy, the dielectric constant of saturated rock and laboratory experiments of them. |
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| Keywords: | Lattice Boltzmann method Conductivity of binary mixtures Dielectric constant of saturated rock |
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