Azimuthal AVO inversion of P-wave in fractured medium

Due to the complexity of Zoeppritz equation, the analytic formula of seismic wave reflection is nonlinear. Two ways may be chosen to inverse elastic properties through seismic wave reflection formula,and one is nonlinear inversion, and other is to approximate linearly reflection coefficient formula. There are two approximate reflection coefficients applied generally, and their differences are compared in order to attain the linear formula of azimuthal AVO inversion of P-wave. The PP wave approximation reflection coefficient of Vavrycuk is nearer to the real reflection coefficient in the case of bigger incident angle,so it is chosen to derive the formula of azimuthal AVO inversion.Finally, full elastic properties of a model are attained through this method, which meet the certain precision and prove the validity of inversion formula.