Abstract：The essential of studying the forward and inverse problems of converted wave with the use of convolution model is to deduce recursion formula of the reflection coefficient. The practical recursion formula of the reflection coefficient is derived from further simplified Zoeppritz equation, Then,the recursion formulae for computing converted-wave velocity,ratio of compressional wave velocity to shear wave velocity,and Poisson ratio are obtained also.Having seismic wavelet,we may use convolution model to produce synthetic seismogram of converted wave,which may be taken to calibrate the horizons of converted-wave section.The deconvolution processing of converted-wave section brings the reflection coefficient series. Then,relative component of converted-wave velocity can be estimated by using recursion formula of the reflection coefficient;and it is added to the low-frequency content of converted-wave velocity to form satisfactory converted-wave velocity.The application conditions of the forward and inversion methods are detailed here. Modeling computation proves the method correct.
