A review of the travel-time calculation methods of seismic first break
Abstract
In the seismic wave field,the first arrival travel-time plays an important role in the field of seismology,which is due to the first arrival phases can be easily traced and identified.The seismic first arrival travel-time field is widely used in seismic prestack migration,velocity analysis,seismic traveltime tomography and earthquake location.This paper mainly introduces four typical seismic first arrival travel-time calculation methods,that is,(1)seismic ray method based on the high-frequency approximation,the commonly used methods are Shortest Path Method(SPM)and Modified Shortest Path Method(MSPM);(2)the method based on the numerical solution of eikonal equation,which mainly include Finite Difference Method(FD),Fast Marching Method(FMM)and Fast Sweeping Method(FSM);(3)Wavefront Construction(WFC)method based on the Huygens principle;and(4)the method based on the frequency domain wave equation(FWQ).The first one has higher computational accuracy and better stability,while it needs more grid points,which may result in low computational efficiency.The calculation of ray paths is not required in the second one,so it has advantages in computational efficiency,stability and realization,but the computational accuracy is lower,which can be improved by introducing the high-order finite difference scheme.The third one can calculate traveltime with high accuracy and stability,while it requires the grid transition between ray grid and regular grid,which may result in low computational…
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