Application of acoustic wave solution for the analysis of reverberation

Abstract

Finite difference method offers a versatile approach to numerical computation of synthetic seismograms for give subsurface complex geological model. Numerical solution for the acoustic wave has been derived using the Lax-Wendroff scheme for an inhomogeneous medium and implemented for the modeling of localized area in the offshore region. Numerical seismograms have been obtained to identify the singing effect for different model geometries. The effect of source-receivers position, water depth and the frequency of source on the reverberation is studied. The generation of ghost reflections and its effect on the amplitude of reflected waves as well as on multiples for different source-depth position is studied. The grid dispersion effect on the reflected signal and the reverberation is discussed for high-frequency signals. The analysis of numerical seismograms indicates that the energy radiating from a point source and remaining completely within a water layer may not cause singing, whereas the energy reflected from the deeper horizons is responsible for the singing effect on the reflections.