Abstract:The vector convolution model of a wave in anisotropy medium is derived from all-wave reflection expression relating to point source in anisotropy medium. The model offers definite physical background and mathematic description in multicomponent data processing under anisotropy medium condition,and it unifies most exfisting ordinary shear-wave splitting algorithms which are used to compute both polarizing angle of shear wave splitting and moveouts between fast wave and slow wave. The vector convolution model is applied to some ordinary algorithms (such as afford revolving,stratum stripping and propagation matrix)to discover their own physical requirements and their interrelations.