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Generalized T-matrix Approach to Seismic Modelling of Fractured Reservoirs and Related Anisotropic Systems
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 77th EAGE Conference and Exhibition 2015, Jun 2015, Volume 2015, p.1 - 5
Abstract
This paper deals with the development of a domain integral equation method for target-oriented seismic waveform modelling in real media; that is, anisotropic, visco-elastic media that may or may not contain multiple sets of discrete fractures.
The new method is based on a decomposition of the actual medium into an arbitrary background medium and a corresponding perturbation that need not be small. We use a generalized T-matrix to solve a higher-dimensional Lippmann-Schwinger equation, which is equivalent to the equation of motion and the constitutive relation, but formulated in a higher-dimensional space, where time and space are treated on an equal footing. Renormalization methods are used to deal with strong contrasts in the stiffness and density fields. The numerical examples focus on fractured reservoirs, but the theory is general and potentially useful for the development of FWI methods for real media.