An explicit stabilization scheme for Q-compensated reverse time migration

摘要

requires nonphysical frequency-dependent energy amplification, which may lead to numerical instability. An explicit stabilization approach is developed for seismic Q compensation after deriving the k-space Green's function of the compensated constant-Q wave equation, which has decoupled fractional Laplacians. At high wavenumbers, as time increases, the time propagator of k-space Green's function increases exponentially. Therefore, an exponential window function is introduced to stabilize the exponentially divergent time propagator. Unlike the conventional low-pass filtering approach in the frequency or wavenumber domain, the proposed method assumes that the exponent of the chosen window is