中国海洋大学学报（自然科学版）2017，Vol.47Issue(7)：121-126,6.DOI:10.16441/j.cnki.hdxb.20160164
弹性介质Hamilton正则方程与地震波方程
Hamiltonian Canonical Equations of Elastic Medium and Seismic Wave Equation
摘要
Abstract
The propagation of seismic wave in the earth medium is a complex process.The analytical mechanics theory has advantage to deal with complex systematic problems.In this paper,with the hypothesis of viewing earth medium as an elastic medium,the Hamiltonian dynamic equations are established for homogeneous and inhomogeneous elastic medium,which extends the analytic dynamics equations for elastic mediu from configuration space to phase space.Then the seismic wave equations of homogeneous and inhomogeneous elastic and acoustic medium are derived with the elastic Hamiltonian equations.These results provide theoretical basis for using Hamiltonian analytical mechanics theory to study seismic wave propagation and deal with the issuers in seismic exploration.关键词
地震勘探/分析力学/弹性介质/Hamilton正则方程/地震波方程Key words
Seismic exploration/analytical mechanics/elastic medium/hamiltonian canonical equations/seismic wave equations分类
数理科学引用本文复制引用
方刚,栾锡武,张斌,方建会..弹性介质Hamilton正则方程与地震波方程[J].中国海洋大学学报（自然科学版）,2017,47(7):121-126,6.基金项目
国家自然科学基金项目(41504109) （41504109）
山东省自然科学基金项目(BS2015HZ008)资助 Supported by the National Natural Science Foundation of China (41504109) （BS2015HZ008）
the Natural Science Foundation of Shandong,China (BS2015HZ008) （BS2015HZ008）
