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3D VTI Eikonal Solver for Efficient Acoustic Traveltime Computation

By
Nicolas Bousquié
Nicolas Bousquié
École et Observatoire des Sciences de la Terre,Strasbourg, France
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Risto Siliqi
Risto Siliqi
CGG,Paris, France
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Published:
January 01, 2001

Abstract

Travel-time computation is efficiently achieved through direct numerical resolution of the eikonal equation on a 3D computational grid. Efficiency may even be improved when solving the eikonal equation using an appropriate transformation called transformation in the celerity domain. Neglecting the effects of anisotropy in the calculation of traveltime maps leads inevitably either to incorrect focusing or positioning of seismic events during the seismic imaging process. Thus, in the present paper, we propose to extend effi-cient P-wave travel-time computation to the simplified case of Vertical Transverse Isotropic (VTI) media, which is nevertheless of the most interest in surface reflection seismic. Based on an “acoustic” explicit eikonal equation for VTI media, the calculation of quasi-P travel times with our numerical resolution method in the celerity domain proves to be particularly efficient, stable and accurate. In line with seismic contractor needs, we propose a parameterization, which is based on anisotropy effects, for the quasi-P VTI model used by the eikonal solver. The three independent anisotropic parameters are the NMO velocity associated with short-spread curvatures, an ellipticity parameter equivalent to the ratio between vertical and NMO velocities, and finally the well-known anellipticity parameter η, governing the long offset behavior of NMO curves.

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Contents

Society of Exploration Geophysicists Open File

Anisotropy 2000: Fractures, Converted Waves, and Case Studies

L. Ikelle
L. Ikelle
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A. Gangi
A. Gangi
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Society of Exploration Geophysicists
Volume
6
ISBN electronic:
9781560801771
Publication date:
January 01, 2001

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