Abstract
Stack of homogeneous elastic arbitrary anisotropic layers in welded contact in long-wavelength limit is equivalent to elastic, anisotropic, homogeneous medium. A mathematical formalism to calculate averaged medium was developed by Schoenberg and Muir (1989). In this paper we apply this formalism to a stack of layers with orthorhombic (ORT) symmetry in order to study the behavior of surface seismic processing parameters. We consider two cases: stack composed of layers with orthorhombic symmetry including azimuthally rotated layers and a stack of vertically fractured layers with intrinsic vertically transversely isotropic (VTI) symmetry. We demonstrate how model in the first case can be approximated with some effective orthorhombic medium azimuthally rotated at some effective azimuth. In the second case, we analyze the influence of model parameters on important P-wave processing parameters and also show their weak anisotropy approximations. We also discuss possibilities of applying averaging approach to a well logging data to embed fractures intro the interval of interest, and demonstrate its applicability on the field data example.
Published Version
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