AVO反演纵,横波速度

本文的方法是：首先利用Ｚｏｐｐｒｉｔｚ方程的近似式，得到反射系数序列；然后将其与地震子波褶积，使其求解结果与实际地震数据的最小平方问题归结为求解一大型稀疏矩阵方程，并采用奇异值分解法求解，在褶积过程中要考虑子波误差的影响，在求解方程和矩阵过程中要考虑用声波测井速度值或实验室测试速度值进行标定。最后，可一次解出介质从浅至深的纵、横波速度值。

Estimation of P and S-wave velocities by AVO inversion

My method involves the following essential points:Reflection coefficients are derived from reduced Zoeppritz's equation, then convolved with seismic wavelet.The least square problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation,which can be solved by singular value decomposition.The influence of wavelet error must not be neglected in the convolution. Acoustic log velocity or laboratorial velocity should be used in calibration in solving the equation and matrix.The velocities of P and S-waves in medium can be downward estimated in one pass.