Layer-induced elastic anisotropy Part 2: inversion of compound parameters to constituent parameters



Document title: Layer-induced elastic anisotropy Part 2: inversion of compound parameters to constituent parameters
Journal: Revista brasileira de geofisica
Database: PERIÓDICA
System number: 000279641
ISSN: 0102-261X
Authors:
Year:
Season: May-Ago
Volumen: 18
Number: 2
Pages: 173-186
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract In Part 1 of this paper (Helbig, 1998 - Rev. Bras. Geof. 16) it was shown that a medium consisting of a periodic sequence of layers is, in the long-wavelength approximation, equivalent to a homogeneous compound medium with elastic parameters that are generalized averages of the constituents' stiffnesses. Though the matrix-algorithm described in Part 1 works with anisotropic constituents, the most interesting application is to layer sequences with isotropic constituents, i.e., to transversely isotropic (TI) compound media. Part 2 discusses the possibility to obtain information about the (thin-layer) constituents from the properties of the compound medium. Though every periodic sequence of isotropic layers results in a TI medium, the reverse is not true: there are TI media that cannot be "modeled" by a periodic sequence of isotropic layers. Those that can be modeled can be inverted to layer sequences that result in precisely the observed anisotropy. This inversion is not unique, but it constrains the possibilities. The critical tool to determine the possibility of modeling a TI medium is the concept of stability. Unstable compound media that release energy on being deformed would not exist. However, for inversion we must insist that not only the compound medium, but also the potential constituents are stable. In preparing a catalog that covers all possible media
Disciplines: Geociencias
Keyword: Geofísica,
Anisotropía,
Exploración sísmica,
Propagación de ondas
Keyword: Earth sciences,
Geophysics,
Anisotropy,
Seismic exploration,
Wave propagation
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