Journal ArticleDOI
P-wave reflection coefficients for transversely isotropic models with vertical and horizontal axis of symmetry
TLDR
In this paper, an improved approximation for P-wave reflection coefficients at a horizontal boundary in transversely isotropic media with vertical axis of symmetry (VTI media) is presented.Abstract:
The study of P-wave reflection coefficients in anisotropic media is important for amplitude variation with offset (AVO) analysis. While numerical evaluation of the reflection coefficient is straightforward, numerical solutions do not provide analytic insight into the influence of anisotropy on the AVO signature. To overcome this difficulty, I present an improved approximation for P-wave reflection coefficients at a horizontal boundary in transversely isotropic media with vertical axis of symmetry (VTI media). This solution has the same AVO-gradient term describing the low-order angular variation of the reflection coefficient as the equations published previously, but is more accurate for large incidence angles. The refined approximation is then extended to transverse isotropy with a horizontal axis of symmetry (HTI), which is caused typically by a system of vertical cracks. Comparison of the approximate reflection coefficients for P-waves incident in the two vertical symmetry planes of HTI media indicates that the azimuthal variation of the AVO gradient is a function of the shear-wave splitting parameter y, and the anisotropy parameter describing P-wave anisotropy for nearvertical propagation in the vertical plane containing the symmetry axis.read more
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References
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Quantitative seismology : theory and methods
Keiiti Aki,Paul Richards +1 more
TL;DR: This work has here attempted to give a unified treatment of those methods of seismology that are currently used in interpreting actual data and develops the theory of seismic-wave propagation in realistic Earth models.
Journal ArticleDOI
A simplification of the Zoeppritz equations
TL;DR: In this paper, the compressional wave reflection coefficient R(θ) given by the Zoeppritz equations is simplified to the following: R0+[A0R0+Δσ(1-σ)2]sin2θ+1/2ΔVpVp(tan 2θ-sin2
Journal ArticleDOI
P-wave signatures and notation for transversely isotropic media: An overview
TL;DR: In this paper, a consistent description of P-wave signatures in transversely isotropic (TI) media with arbitrary strength of the anisotropy is given in terms of Thomsen notation.
Journal ArticleDOI
Reflection seismology over azimuthally anisotropic media
TL;DR: In this article, two variations of a rotational algorithm to determine the principal time series were derived, based on the results of a previous survey of seismic shear wave data, which showed that azimuthal anisotropy (due most plausibly to aligned fractures) has an important effect on seismic sheer waves.
Journal ArticleDOI
Reflection and transmission coefficients for transversely isotropic media
P. F. Daley,F. Hron +1 more
TL;DR: In this article, a necessary step in the implementation for layered media displaying transverse isotropy is the computation of reflection and transmission coefficients at the interface between two such layers, as well as the corresponding surface conversion coefficients.