| 用格子玻尔兹曼方法模拟非均匀介质中的电场响应 |
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| 引用本文： | 李学民,曹俊兴,何晓燕,王兴建.用格子玻尔兹曼方法模拟非均匀介质中的电场响应[J].地球物理学报,2004,47(2):349-353. |
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| 作者姓名： | 李学民 曹俊兴 何晓燕 王兴建 |
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| 作者单位： | 成都理工大学“油气藏地质及开发工程”国家重点实验室，成都 610059 |
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| 基金项目： | 国家自然科学基金项目 ( 4 0 14 40 16、40 2 740 19) |
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| 摘 要： | 介绍了用格子玻尔兹曼方法模拟非均匀介质中的电场响应的数值模拟方法. 格子玻尔兹曼方法是从微观领域出发进行数值计算的一种全新的正演模拟方法；从玻尔兹曼碰撞模型出发，利用泰勒展开和Chapman Enskog展开，在基本力学守恒条件和约束条件的限制下，导出了电场响应的扩散方程，得到了局部平衡分布函数的表达式，给出了若干正演模拟的结果；其结果表明，利用这种方法进行非均匀介质中的电场响应正演模拟具有灵活、方便和简单等优点.
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| 关 键 词： | 格子玻尔兹曼方法 非均匀介质 电场响应 数值模拟 |
| 文章编号： | 0001-5733(2004)02-0349-05 |
| 收稿时间： | 2002-11-8 |
| 修稿时间： | 2003-8-14 |
Simulation of electric field response in the inhomogeneous medium using lattice Boltzmann method |
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| LI Xue-Min CAO Jun-Xing HE Xiao-Yan WANG Xing-Jian State Laboratory of Oil/Gas Reservoir Geology and Exploitation,Chengdu University of Technology,Chengdu ,China.Simulation of electric field response in the inhomogeneous medium using lattice Boltzmann method[J].Chinese Journal of Geophysics,2004,47(2):349-353. |
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| Authors: | LI Xue-Min CAO Jun-Xing HE Xiao-Yan WANG Xing-Jian State Laboratory of Oil/Gas Reservoir Geology and Exploitation Chengdu University of Technology Chengdu China |
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| Institution: | State Laboratory of Oil/Gas Reservoir Geology and Exploitation,Chengdu University of Technology, Chengdu 610059, China |
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| Abstract: | A numerical method for simulating electric field response in the inhomogeneous medium is introduced using lattice Boltzmann method. The lattice Boltzmann method is a bran-new forward modeling method starting from the microcosmic field. From Boltzmann collision model, and by using Taylor expansion Chapman-Enskong expansion and under the limitation of basic mechanical conservation and constrain condition, we get the dispersing equation of electric field and partial equilibrium distribution function. We present some forward modeling results. The results show that it is flexible, portable and simple to use the method to model forward electric field response in the inhomogeneous medium. |
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| Keywords: | Lattice Boltzmann method Inhomogeneous medium Electric field response Numerical computation |
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