RELATIONSHIPS BETWEEN CONVERTED AND NON-CONVERTED WAVES AND PARAMETER p
ZHENG XIAO-DONG(Petroleum Geophysical Deft., RIPED, Beijing 100083)
In this paper, a set of analytic solutions to reflection and transmission is derived, which are suitable for P, SV and SH waves incidence on any possible interfaces composed of solid, liquid, gas and vaccum, such as solid-solid, solid-liquid, liquid-liquid and free interfaces etc. So the reflection and transmission equations, which were established by their boundary conditions and were regarded as no relation to each other are integrated. The difference of dynamics between converted wave and non-converted wave is illustrated with the solutions, and the conclusion is that for elastic plane waves incidence on different boundary conditions, the coefficients of reflection and transmission are the odd function of raypath parameter p for converted wave; and the even function of raypath parameter p for non-converted wave. Theoretical investigation has shown that amplitude versus angle of incidence (AVA) is comprised in reflected, transmitted and converted waves. Based on the properties of odd and even functions, no wave conversion occurs at normal incidence, and the conclusion offers a new way for the simplification of Zoeppritz equations and for the extension of AVA analysis in seismic exploration.