| 弹性介质的Lagrange动力学与地震波方程 |
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| 引用本文： | 方刚,张斌. 弹性介质的Lagrange动力学与地震波方程[J]. 物理学报, 2013, 62(15): 154502-154502. DOI: 10.7498/aps.62.154502 |
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| 作者姓名： | 方刚 张斌 |
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| 作者单位： | 1. 中国石油大学地球科学与技术学院, 青岛 266580;2. 中国石油大学理学院, 青岛 266580 |
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| 摘 要： | 本文将地球介质看作是弹性介质, 从弹性体的Navier方程出发, 建立均匀弹性介质和非均匀弹性介质的分析动力学方程——Lagrange方程, 利用弹性介质的Lagrange方程导出匀弹性介质和非均匀弹性介质的地震波方程, 为用Lagrange分析动力学研究地球介质中地震波传播规律和解决地震勘探中的有关问题提供基础.关键词：地震勘探弹性介质Lagrange 方程地震波方程
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| 关 键 词： | 地震勘探 弹性介质 Lagrange 方程 地震波方程 |
| 收稿时间： | 2013-01-16 |
Lagrangian dynamics and seismic wave align of elastic medium |
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| Fang Gang,Zhang Bin. Lagrangian dynamics and seismic wave align of elastic medium[J]. Acta Physica Sinica, 2013, 62(15): 154502-154502. DOI: 10.7498/aps.62.154502 |
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| Authors: | Fang Gang Zhang Bin |
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| Abstract: | In seismic exploration, propagation of seismic wave in earth medium is very complex. Theory of analytical mechanics has advantages for solving complicated problems. In this paper, with the hypothesis of viewing geological medium as an elastic medium, the Lagrange equations of analytical dynamics are built for homogeneous and inhomogeneous earth media. Then the seismic wave equations of elastic medium are obtained from the Lagrange equations. The results provide the basis to study propagation of seismic wave in earth medium and discuss problems related to seismic exploration using Lagrange analytic dynamics.
Keywords：seismic explorationelastic mediumLagrange equationseismic wave equation |
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| Keywords: | seismic exploration elastic medium Lagrange equation seismic wave equation |
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