【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.更多还原

【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.更多还原