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层状半空间中的多模问题和瑞利波勘探
引用本文:鲁来玉,王文,张碧星,张友山.层状半空间中的多模问题和瑞利波勘探[J].物探化探计算技术,2001,23(3):215-221.
作者姓名:鲁来玉  王文  张碧星  张友山
作者单位:1. 中国科学院声学研究所,
2. 中南大学地球物理勘察新技术研究所,
基金项目:国家自然科学基金资助(19804019)
摘    要:作者在本文中研究了弹性层状半空间的导波传播问题,对于实波数的导波,严格证明了频散函数为实函数,并用二分法求出了所有可能的沿层状介质传播的导波模式,结果表明,在弹性层状半空间中,一般存在无穷多个导波模式,实际勘探中接收到的导波是这些所有模式叠加的结果,这种多模性反映了低速层的存在,在 文中,我们还得到了与实际接近的成“之”字形的导波频散曲线,本文为实际瑞利波勘探工作奠定了理论依据。

关 键 词:层状半空间  导波模式  瑞利波勘探  频散函数  二分法
文章编号:1001-1749(2001)03-0215-07
修稿时间:2001年4月10日

GUIDED MODES IN STRATIFIED HALF-SPACE AND RAYLEIGH WAVE EXPLORATION
LU Lai yu ,WANG Wen ,ZHANG Bi xing ,ZHANG You shan.GUIDED MODES IN STRATIFIED HALF-SPACE AND RAYLEIGH WAVE EXPLORATION[J].Computing Techniques For Geophysical and Geochemical Exploration,2001,23(3):215-221.
Authors:LU Lai yu  WANG Wen  ZHANG Bi xing  ZHANG You shan
Institution:LU Lai yu 1,WANG Wen 2,ZHANG Bi xing 1,ZHANG You shan 2
Abstract:The propagation of guided waves in stratified half-space media is studied in this paper. It is proved strictly that the dispersion function is a real function for the real wave number. All the possible guided waves to propagate in stratified half-space media are investigated using a bisection method. It is found that there are, in general, infinite modes of guided waves in stratified half-space media and the guided waves received in the field survey is the superposition of all the modes which reflect the existence of low velocity layer. Finally, the zigzag dispersion curves similar to that in real exploration is obtained. This paper lays a theoretical foundation to the Rayleigh wave exploration.
Keywords:stratified half  space  guided modes  rayleigh wave exploration
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