Derivation of generalized reflections from point sources in a two-layer VTI medium

Charles P. Ursenbach, Arnim B. Haase

Detailed expressions are derived for generalized reflections from point sources in a two-layer medium possessing vertical transverse isotropy. First, the displacements resulting from P-wave and S-wave point sources in a homogeneous medium are derived. It is shown that these are given by integrals over the corresponding plane-wave displacements. The generalized reflection coefficients are then derived and are seen to be integrals over plane-wave reflection coefficients.