Large-scale waveform inversions of surface waves for lateral heterogeneity: 1. Theory and numerical examples

摘要: Surface wave scattering theory is presented as a new method for analyzing teleseismic surface data. Using integrals the effect of lateral heterogeneity both on coda generation and direct described. Since employed forward problem linear, inverse can conveniently be solved in least squares sense using an iterative matrix solver. For waveform inversions wave, only near contributes. this case isotropic approximation introduced, which makes it possible to retrieve phase velocity information from theory. It shown that practical resulting system linear equations extremely large how row action methods used carrying out inversion moderate size computers. The performance illustrated with two numerical examples. In first example generated by one point scatterer inverted. reconstruction similar Kirchhoff migration exploration seismics. second example, ray geometrical effects (focusing shifting) are obtained follows simultaneously fit amplitude