ISS Q compensation without knowing, estimating or determining Q and without using or needing low and zero frequency data
Zou, Y. and Weglein, A.B., 2018. ISS Q compensation without knowing, estimating or determining Q and without using or needing low and zero frequency data. Journal of Seismic Exploration, 27: 593-608. Developing new and more effective methods to achieve Q compensation is of priority in seismic processing and exploration. We propose a new approach for QO compensation as an isolated task subseries of the inverse scattering series (ISS). This inverse scattering subseries achieves O compensation without needing to know, estimate or to determine Q. The method avoids the pitfall of an earlier ISS method by not needing or using low frequency data and in particular not needing zero frequency data. This paper provides two contributions (1) It develops a reformulated inverse scattering series (ISS) Q compensation method without knowing or estimating Q and (most importantly) without needing zero frequency data (2) It avoids a division by zero in the subsequent reformulated algorithm by adding a small imaginary term to k- (adding a small amount of friction in the reference medium). In this paper, we test the Q compensation algorithm in a two-reflector model and have obtained encouraging results. This advance in ISS Q compensation also has immediate significant and positive consequence for all amplitude analysis (that currently require low and zero frequency data) including ISS depth imaging, ISS direct parameter inversion, traditional iterative AVO and model matching FWI. In addition, the ISS Q compensation without knowing or estimating Q method can be transferred for electromagnetic applications where conductivity plays the role of Q, and a conductivity map can be output. Once the Q compensated data is available we could use that data together with the original data to estimate Q. Alternatively, the anelastic equation and data could input the original data and ISS inverted for elastic and Q parameters.
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