Amplitude Correction in Separating P- and S-waves in Elastic Seismic Data

The P- and S-waves in elastic seismic data recorded at the earth’s surface can be separated by implementing downward extrapolation followed by divergence (dilatation) and curl (rotation) calculations at a decomposing depth. The ratio between P-wave amplitude and S-wave amplitude (P-S ratio) in the form of displacement (pre-separation) and that in the form of dilatation and rotation (post-separation) are different because dilatation and rotation are different physical quantities. This difference can be eliminated by multiplying a correction factor, which is the ratio of S-velocity to P-velocity, to the separated S-wave (rotation), and the P-S ratio after separating P- and S-waves is then preserved.