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Feasibility of Effective-Medium Anisotropic Models of Fractured Rocks in Seismic Characterization of Natural Fractures
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, Geomodel 2015 - 17th science and applied research conference on oil and gas geological exploration and development, Sep 2015, Volume 2015, p.1 - 5
Abstract
We deal with Effective-Medium Anisotropic (EMA) models of fractured rocks, which identify parallel fractures embedded in isotropic background rock. For example, there are Schoenberg’s linear-slip-fracture model and/or Hudson’s penny-shaped-crack model, which are widely used in seismic exploration. On the one hand, these models are considered to be of transversely isotropic (TI) symmetry and therefore such models can be identified by five independent components of stiffness tensor C. However on the other hand, the EMA models are identified by only four independent components, whereas their fifth component C13 is ought to be found as a function of other components. We analyze EMA model from the viewpoint of its constraint on C13. It has a certain physical sense related to elastic compliance tensor S. Following its interpretation in terms of the compliance tensor S, we found out that Poisson’s ratios are involved in the constraint. We inferred that the constraint on C13 rewritten in terms of the Poisson’s ratios appeared not to be feasible for real rocks. Therefore EMA models may not be applicable for prediction of the P- and SV-wave velocities at arbitrary incidence angle, because of the C13 required, which may be erroneously calculated in frames of the EMA model.