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《Chinese Journal of Geophysics》 2007-01
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Approximate decomposition of the dispersion equation at high frequencies and the number of multimodes for Rayleigh waves

FAN You-Hua~(1,2),CHEN Xiao-Fei~3,LIU Xue-Feng~1,LIU Jia-Qi~1,CHEN Xiao-Hong~21 Harbin Institute of Technology Shenzhen Graduate School,Shenzhen 518055,China2 CNPC Key Lab of Geophys.Expl.,Petroleum University,Beijing 102249,China3 Department of Geophysics,Peking University,Beijing 100871,China  
Dispersion curves of multimodes are usually obtained in Rayleigh wave exploration.It is important to describe their characteristics theoretically.In this paper,the approximate decomposition formula of transfer matrix and the approximate decomposition formula of the dispersion equation in high frequencies are present based on the high frequency approximate feature of the transfer matrix.Then,four basic modes(R-mode,S-mode,R-period-modes and S-period-modes) are defined by using these approximate formulas.Based on the period feature of the dispersion equation,the approximate formulas of the average interval of period-modes curves and also the number of roots(i.e.the number of multimodes) at any frequency and velocity are presented.Based on these results,a numerical root searching method for the dispersion equation is given.
【Fund】: 中国石油大学中国石油天然气集团公司物探重点实验室开放基金项目(GPKL0402)资助
【CateGory Index】: P631
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