Understanding CMP stacking hyperbola in terms of partial derivative wavefield

Abstract

Common midpoint (CMP) stacking and velocity analysis are fundamental seismic imaging concepts based on a layered velocity model. We relate these concepts to partial derivative seismograms, which give seismic amplitude variations as a function of layer coordinates. The CMP stacking hyperbola can be described kinematically by partial derivative seismograms, resulting in an interesting seismic imaging relationship.