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Diffraction and ray theory for wave propagation

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Proceedings Papers

Paper presented at the 2004 SEG Annual Meeting, October 10–15, 2004
Paper Number: SEG-2004-2180
... ABSTRACT Ray theory is inadequate to explain the behavior of finite-frequency wave propagation in media with structures smaller in size than wavelength and the Fresnel zone. In such complex structures, wave diffraction effects are important. By performing an ultrasonic wave experiment, a newly...
Proceedings Papers

Paper presented at the 2002 SEG Annual Meeting, October 6–11, 2002
Paper Number: SEG-2002-1348
... the coherent-state. Also, an early test of acoherent-state migration is shown. amplitude wave equation chevrontexaco salt lake city phillips petroleum coherent-state approximation wave equation douglas asymptotic solution reservoir characterization diffracted wave ray theory charles mosher...
Proceedings Papers

Paper presented at the 1993 SEG Annual Meeting, September 26–30, 1993
Paper Number: SEG-1993-0860
... coverage (Kendall & Thomson 1993). Waveform Results The ray-theory and Maslov-theory synthetics are shown in Figures 2( top) and 2(bottom) respectively. There is no S-wave separation for rays propagating horizontally, but with increasing declination, the delay time between the two (is-waves increases...
Proceedings Papers

Paper presented at the The Fourth International Offshore and Polar Engineering Conference, April 10–15, 1994
Paper Number: ISOPE-I-94-200
... crests. In the ocean of deep depth to moderate depth, with the assumption of small wave amplitude, the ray theory has been widely adopted to describe wave transformation by tracing wave rays. Ray theory claims that wave energy propagates merely along a ray; hence no energy flux transverse to wave ray...
Proceedings Papers

Paper presented at the 1995 SEG Annual Meeting, October 8–13, 1995
Paper Number: SEG-1995-1301
... with the angular dis- tance from the shadow boundary. Diffracting edges can termi- nate at vertices. In this case the edge-diffracted waves have shadows of their own and the evanescent field in th- ows is represented by spherical vertex waves propagating along vertex-diffracted rays. The diffracted fields can...
Proceedings Papers

Paper presented at the 1995 SEG Annual Meeting, October 8–13, 1995
Paper Number: SEG-1995-1317
... ABSTRACT No preview is available for this paper. wavelength amplitude diffraction upstream oil & gas wavefront traveltime inclusion wave receiver reservoir characterization incident ray scatterer snapshot frequency modeling shadow zone ray theory ray method ray...
Proceedings Papers

Paper presented at the 2007 SEG Annual Meeting, September 23–28, 2007
Paper Number: SEG-2007-2215
... been extensively employed in wave field modeling and imaging due to its algorithmic understandability and computational efficiency. However, this method has some shortcomings. For example, ray theory could not be used to describe the critical point, head wave, diffraction and so on. Maslov method keeps...
Proceedings Papers

Paper presented at the The Fifteenth International Offshore and Polar Engineering Conference, June 19–24, 2005
Paper Number: ISOPE-I-05-245
... treated in electromagnetic waves. The first successful theory that works for arbitrary shape of objects is proposed by J. B. Keller. His Geometric Theory of Diffraction (GTD) is based on the so-called model problems of some simplified geometries and advances the concept of diffraction rays. Through...
Proceedings Papers

Paper presented at the 1998 SEG Annual Meeting, September 13–18, 1998
Paper Number: SEG-1998-1531
... ABSTRACT No preview is available for this paper. diffraction term kirchhoff-born migration steve hildebrand wavefield extrapolation slowness vector kirchhoff-born equation ray theory equation reservoir characterization perturbation approximation slowness model upstream oil...
Proceedings Papers

Paper presented at the 2010 SEG Annual Meeting, October 17–22, 2010
Paper Number: SEG-2010-0307
... process. Velocity continuation has found application in migration velocity analysis (Fomel, 2003a; Schleicher et al., 2008) and diffraction imaging (Fomel et al., 2007). Fomel (1994) and Hubral et al. (1996) point out that velocity continuation is a wave propagation process where, instead of wavefronts...
Proceedings Papers

Paper presented at the The 32nd U.S. Symposium on Rock Mechanics (USRMS), July 10–12, 1991
Paper Number: ARMA-91-407
... that interface waves and multiply scat- tered waves will not be included in Kirchhoff method solution. The Kirchhoff method has several advantages over geometric ray theory: it includes diffractions from surface irregularities and does not break down when the receiver is located on a caustic. Application...
Proceedings Papers

Paper presented at the 1990 SEG Annual Meeting, September 23–27, 1990
Paper Number: SEG-1990-1037
... applications in modeling driven geophysical inversion schemes. All these factors pose stringent reguirements on the modeling algorithm. Asymptotic ray tracing is the most widely used method for modeling of seismic wave propagation in the geophysical industry today. Its popularitycanbe attributedtothe fact...
Proceedings Papers

Paper presented at the SEG International Exposition and Annual Meeting, September 15–20, 2019
Paper Number: SEG-2019-3216391
... with the wavefront attributes. Since rays propagated downward from a focusing curve focus at a particular point on the edge, this method allows for grouping the central midpoints in order to use the edge diffractions in a focusing based tomography. ACKNOWLEDGMENTS The authors appreciate the support of the Wave...
Proceedings Papers

Paper presented at the 2016 SEG International Exposition and Annual Meeting, October 16–21, 2016
Paper Number: SEG-2016-13874023
... investigate the localized wave propagation in complex acoustic media to show its directional property with limited diffraction and capability to retain its geometric shape. Second, we apply the Gaussian wave packet (GWP) to invert for the spacing of fractures in an acoustic medium. The GWP is an exact...
Proceedings Papers

Paper presented at the The Seventh ISOPE Pacific/Asia Offshore Mechanics Symposium, September 17–21, 2006
Paper Number: ISOPE-P-06-006
... current. In the past, Several researchers (e.g. Longuet-Higgins & Stewart,1961; Bretherton & Garrett,1969) studied the wave current interaction using the conventional wave-action equation, which is equivalent to the geometrical ray theory and cannot be applied to the regions where wave diffraction...
Proceedings Papers

Paper presented at the 1985 SEG Annual Meeting, October 6–10, 1985
Paper Number: SEG-1985-0480
..., if the specular point is not to be found (according to geometrical optics) either in the element or in its smooth con- tinuation, then the ray field u (M- ,M+) is assumed to be zero. In most cases this is equivalent to neglecting exponentially de- caying diffracted tripping waves. Function W in expression (2...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17794193
...- mization of geometrical spreading of all the diffracted and nor- mal incidence point waves presented in the kinematic wave- field attributes dataset. For the true velocity model geometri- cal spreading vanishes when is back propagated at arrival time because diffractors and normal incidence points...
Proceedings Papers

Paper presented at the 2011 SEG Annual Meeting, September 18–23, 2011
Paper Number: SEG-2011-2860
... of simulating different events including primaries, internal multiples, converted waves, diffractions, etc. However, the computational speed of such methods is considerably less than ray based-methods. Now, the question is do we require highly accurate modeling to seismically detect fluid flow...
Journal Articles
SPE Prod & Oper 17 (03): 149–159.
Paper Number: SPE-78812-PA
Published: 01 August 2002
... propagation, two diffractions are measured, which we interpret as coming from the fluid-front and fracture-tip positions. From the travel time of these diffractions and the material velocities, we can construct the ray path and calculate the fracture radius and the size of the nonpenetrated zone...
Proceedings Papers

Paper presented at the 2000 SEG Annual Meeting, August 6–11, 2000
Paper Number: SEG-2000-0988
... kirchhoff image propagation traveltime image point image point displacement equation migration velocity analysis perturbation propagated image kirchhoff image propagation frank adler diffraction point reservoir characterization velocity ray velocity model Kirchhoff image propagation Frank...

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