Abstract: Firstly, for the 1980s developed full waveform inversion and its application in the development of exploration geophysics are analyzed; secondly, the face of quantitative and refinement requirements of seismic exploration, seismic exploration proposed full waveform trans research ideas to play with other aspects of data processing or process technology combined, and the prospect of the development trend of full waveform inversion; finally, discusses the numerical simulation of full waveform inversion of seismic wave field inversion initial velocity model to obtain the objective function Select the form, the key issues to enable optimization algorithm and anisotropic media applications, and summarized by full waveform inversion Laplace domain inversion to obtain initial velocity model, combined with ray tracing and full parallel computing is to the wave equation method to simulate the great advantage of the seismic wave field, and the flexibility to choose the form of the inversion objective function and optimization algorithm to update the velocity model parameters to speed up the process of practical full waveform inversion method.