Translator Disclaimer
23 September 1994 Estimating the energy source and reflectivity by seismic inversion
Author Affiliations +
Data produced by a reproducible source contains redundant information which allows seismic inversion to simultaneously determine the high-frequency fluctuation in the p-wave velocity (or reflectivity) as well as the input energy source. The seismogram model is the plane-wave convolutional model derived from the constant density, variable sound velocity acoustic wave equation. The first step is to analyze this linearized model when the background velocity is constant. Then perturbations in the seismic data stably determine corresponding perturbations in the source and reflectivity. The stability of this determination improves as the slowness aperture over which the data is defined increases. Further, the normal operator for the convolutional seismogram model is continuous with respect to velocity. Thus the stability result for constant background velocities may be extended to more realistic background velocity models which vary slowly and smoothly with depth. The theory above is illustrated with four synthetic numerical examples derived from marine data. The examples indicate that for a wide slowness aperture, inversion is very effective in establishing the true shape of the reflectivity and the shape and location of the compactly supported energy source. As this aperture window narrows, the corresponding inversion-estimated model still describes the data quite accurately, but the inversion is not able to recover the original two distinct parameters.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Susan E. Minkoff and William Woodbury Symes "Estimating the energy source and reflectivity by seismic inversion", Proc. SPIE 2301, Mathematical Methods in Geophysical Imaging II, (23 September 1994);


Objective functions for velocity inversion
Proceedings of SPIE (December 01 1993)
Migration deconvolution
Proceedings of SPIE (October 01 1998)
Multiscale analysis of well and seismic data
Proceedings of SPIE (October 01 1998)
Influence of an eccentric transducer on V(z) measurement
Proceedings of SPIE (October 04 1995)
A stochastic technique for remote sensing of ocean color
Proceedings of SPIE (November 20 2006)

Back to Top