Asymptotic elastic Green’s tensor

Abstract

The Green’s function for the acoustic wave equation has been an essential ingredient in obtaining frequency inversion formulas in the acoustic limit (Cohen and Bleistein, 1979; Clayton and Stolt, 1981; Beylkin, 1985; Cohen et al., 1986; Bleistein et al., 1987). Similarly, the Green’s tensor is required for inversions based on the elastic wave equations. Indeed, Kuo and Dai (1984) and Dai and Kuo (1986) have already used an approximation to this tensor to derive a migration result for two‐component seismic data in the case of a homogeneous medium.