HR: 14:55h
AN: S33E-06 [Abstracts]
TI: Implications of Enhanced Low Frequency Data for Linear and Non-linear Inverse Scattering Methods in Absorptive-Dispersive Media
AU: * Innanen, K A
EM: kinnanen@uh.edu
AF: Dept. of Physics, M-OSRP, 617 Science and Research Bldg. 1,
University of Houston, Houston, TX 77204-5006, United States
AU: Lira, J E
EM: j_eduardo_lira@yahoo.com.br
AF: Dept. of Geosciences, M-OSRP, 617 Science and Research Bldg. 1,
University of Houston, Houston, TX 77204-5006, United States
AU: Weglein, A B
EM: aweglein@uh.edu
AF: Dept. of Physics, M-OSRP, 617 Science and Research Bldg. 1,
University of Houston, Houston, TX 77204-5006, United States
AB:
Linear and non-linear inverse scattering series methods(1) for application to absorptive-dispersive (AD)
seismic data are being developed and progressed(2,3). The methods are scattering-based approaches to
the solution of two well-known seismic inverse problems: Q-estimation and Q-compensation. The linear
output, interpretable either as an end goal, if the perturbations are small, or the input to higher order methods,
extracts Q information from data via the dispersive reflection coefficient. This has been presented for a non-
absorptive reference medium(3); we describe the extension to AD reference media. Meanwhile, the non-
linear inverse scattering series component involves collecting series terms to create a Q compensation
operator that involves only the data and reference medium properties. Numerical and analytic results outline
recent progress. Densely sampled, broadband data will benefit these methods. We describe two implications of
a strong low frequency component in the reflected seismic primaries. First, although the error associated with
transmission through perturbed regions (which impacts all linear inverse scattering procedures) is aggravated in
the AD case, weights that emphasize low-frequency data more aggressively are seen to be a strong mitigating
factor. Second, non-linear terms acting on primaries to compensate for Q are seen to share the response to
missing low-frequency reported(4) in the case of imaging; a continuous increase in effectiveness is seen as
the low end of the input data is enhanced.
(1) Weglein et al., 2003: `Topical review: inverse scattering series and seismic exploration', Inverse
Problems, R27-R83.
(2) Innanen and Weglein, 2005: `Towards non-linear construction of a Q-compensation operator directly
from measured seismic reflection data', SEG.
(3) Innanen and Weglein, 2007: `On the construction of an absorptive-dispersive medium model via direct
linear inversion of reflected seismic primaries', Inverse Problems, to appear.
(4) Shaw and Weglein, 2004: `A leading order imaging series for prestack data acquired over a laterally
invariant acoustic medium: analysis for bandlimited input data', SEG.
DE: 0935 Seismic methods (3025, 7294)
DE: 7260 Theory
SC: Seismology [S]
MN: 2007 Fall Meeting