| 弹性波的三维Hamilton系统方法模拟 |
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| 引用本文： | 马毅恒,井西利,邢小宁,王全志,王红翠,刘英杰.弹性波的三维Hamilton系统方法模拟[J].石油地球物理勘探,2012(4):524-531,682,511. |
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| 作者姓名： | 马毅恒 井西利 邢小宁 王全志 王红翠 刘英杰 |
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| 作者单位： | 燕山大学理学院 |
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| 基金项目： | 国家自然科学基金(40374048);河北自然科学基金(D2010001150)资助 |
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| 摘 要： | 针对三维介质中的弹性波传播问题,本文提出了三维Hamilton系统方法。此法通过建立三维离散化网格上的准粒子体系,引入Hamilton函数对系统进行描述。体系中采用中心准粒子与周围6个最近邻和12个次近邻准粒子发生相互作用的模型,文中给出相互作用系数以及相互作用系数与P波波速、质量密度以及泊松比的关系,推导出描述弹性波传播的二阶辛差分格式的离散化方程,并对给定的介质模型进行数值模拟。模拟结果表明该方法是有效的。
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| 关 键 词： | Hamilton系统方法 弹性波模拟 辛算法 |
3D Hamiltonian system approach simulation for elastic wave |
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| Ma Yiheng,Jing Xili,Xing Xiao-ning,Wang Quanzhi,Wang Hongcui,and Liu Yingjie.3D Hamiltonian system approach simulation for elastic wave[J].Oil Geophysical Prospecting,2012(4):524-531,682,511. |
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| Authors: | Ma Yiheng Jing Xili Xing Xiao-ning Wang Quanzhi Wang Hongcui and Liu Yingjie |
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| Affiliation: | 1.College of Science,Yanshan University,Qinhuangdao,Hebei 066004,China |
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| Abstract: | This paper is presented a system approach for elastic wave propagation in 3D media.With quasi-particle system on a discrete 3-D lattice Hamilton function is introduced to describe the system.For interaction model in the system,the central quasi-particle only has interaction with six nearest quasi-particle and twelve nearer ones.Interaction coefficients and their relation with p wave velocity,quality density,and poisson’s ratio are presented.The second-order symplectic difference scheme discrete equations developed in this paper are used in the given medium models.Simulation results show that the method is effective. |
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| Keywords: | Hamiltonian system approach elastic wave simulation symplectic algorithms |
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