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asymptotic ray theory

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Journal Article
Published: 01 December 1980
Bulletin of the Seismological Society of America (1980) 70 (6): 2021–2035.
... asymptotic ray theory to incorporate the amplitudes of rays that turn in a velocity gradient, as well as reflected waves, allows the computation of high-frequency synthetic seismograms for laterally varying velocity structures. The method is general in that synthetic seismograms may be computed for any...
Journal Article
Published: 01 August 1984
Bulletin of the Seismological Society of America (1984) 74 (4): 1209–1223.
...G. D. Spence; K. P. Whittall; R. M. Clowes Abstract A fast, efficient algorithm based on asymptotic ray theory has been developed for the calculation of synthetic seismograms through two-dimensional media. The routine is economical and easy to run, and is intended for use as a practical tool...
Journal Article
Published: 01 October 1981
Bulletin of the Seismological Society of America (1981) 71 (5): 1463–1468.
...E. S. Krebes; F. Hron abstract Synthetic seismograms for P-SV teleseismic waves in a layered anelastic medium are computed by asymptotic ray theory and compared with those computed by a modification of the Thomson-Haskell matrix method for anelastic media, due to Silva (1976). The synthetic...
Journal Article
Published: 01 March 1981
Canadian Journal of Earth Sciences (1981) 18 (3): 551–560.
...George A. McMechan Abstract Synthetic reflection profiles computed by asymptotic ray theory can be used in the interpretation of laterally varying tectonic structures. The algorithm is implemented for normally incident (zero-offset) rays in two-dimensional models that are specified in terms...
Journal Article
Published: 01 December 1980
Bulletin of the Seismological Society of America (1980) 70 (6): 2005–2020.
...E. S. Krebes; F. Hron abstract The linear theory of viscoelasticity is used to study the effects of anelasticity on seismic SH body waves propagating through a layered homogeneous isotropic medium. We present a solution of the wave propagation problem in terms of asymptotic ray theory...
Journal Article
Published: 01 December 1974
Canadian Journal of Earth Sciences (1974) 11 (12): 1661–1668.
...E. R. Kanasewich; F. Hron; T. Alpaslan Abstract A plane wave solution in a multi-layered dipping medium with arbitrary dips is not available in practical form, but we show that algorithms based on a partial ray expansion using asymptotic ray theory presents no difficulties. The selection...
Journal Article
Published: 01 October 1971
Bulletin of the Seismological Society of America (1971) 61 (5): 1169–1200.
...F. Hron; E. R. Kanasewich abstract In asymptotic ray theory, the solution for particle motion is assumed to be an infinite power series of inverse frequency and a vector amplitude, Ā n ( x, y, z ), independent of frequency. A point source with any desired impulse response and radiation pattern...
Journal Article
Published: 01 December 1982
Bulletin of the Seismological Society of America (1982) 72 (6B): S277–S317.
...C. H. Chapman; R. Drummond abstract Asymptotic ray theory is widely used to describe body waves in inhomogeneous media, but caustics, shadows, critical points, etc. have to be treated as special cases. Unfortunately, these singularities are often the points of greatest interest as they are caused...
Journal Article
Published: 01 August 1990
Bulletin of the Seismological Society of America (1990) 80 (4): 995–1013.
...P. F. Daley; F. Hron Abstract The hybrid ray reflectivity technique which employs a combination of asymptotic ray theory and matrix methods for computing synthetic seismograms in a medium composed of thick layers separated by thin layered transition zones is reexamined. The original theoretical...
Journal Article
Published: 01 July 1979
Canadian Journal of Earth Sciences (1979) 16 (7): 1388–1401.
... a complementary technique to asymptotic ray theory in the vicinity of critical regions where the latter cannot be used. Since numerical tests indicate that our method produces results very close to those obtained by the numerical integration of the exact solution, its combination with asymptotic ray theory yields...
Journal Article
Published: 01 October 1979
Canadian Journal of Earth Sciences (1979) 16 (10): 1998–2008.
... that asymptotic ray theory breaks down or at least introduces significant error in the displacement amplitudes.It can be shown that a simple transformation will reduce this problem to one that may be solved exactly by the Cagnaird de Hoop technique but it is instructive to examine nonspherical wave-fronts...
Journal Article
Published: 01 June 1977
Bulletin of the Seismological Society of America (1977) 67 (3): 661–675.
... for obtaining synthetic seismograms is through the use of asymptotic ray theory (Hron and Kanasewich, 1971; Hron, 1973; Hron, Kanasewich and Alpaslan, 1974). A necessary step in the implementation for layered media displaying transverse isotropy is the computation of reflection and transmission coefficients...
Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2016
EISBN: 9781560803188
...-Musatov’s approach with the zero order approximation of the Asymptotic Ray Theory (Cerveny and Hron, 1980). We showed in the paper that both techniques are ideally suited for such a combination, since the ray amplitude evaluation in each of them is based on the same transport equation. In our tutorial...
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Journal Article
Published: 01 December 1986
Bulletin of the Seismological Society of America (1986) 76 (6): 1776–1789.
... seismograms, namely, asymptotic ray theory and finite difference methods. The main result is that the reciprocity property is not necessarily preserved when an approximation is used. This conclusion is shown to be valid for both ray theory and finite difference techniques. We give some concrete examples...
Journal Article
Published: 01 August 1975
Bulletin of the Seismological Society of America (1975) 65 (4): 971–980.
... to the effect of the local topography on the ensuing ground motion at the source. Asymptotic ray theory indicates that an additional horizontal force component was acting at the source of the Chinese event while the Soviet event could be modeled by a vertical force only. Generalized ray theory is then applied...
Journal Article
Published: 01 February 1980
Bulletin of the Seismological Society of America (1980) 70 (1): 47–77.
... asymptotic ray theory , Bull. Seism. Soc. Am. 61 , 1169 - 1200 . Hron F. Daley P. F. Marks L. W. (1977) . Numerical modelling...
Book Chapter

Author(s)
Jan Garmany
Published: 01 January 2001
DOI: 10.1190/1.9781560801771.ch25
EISBN: 9781560801771
... Abstract Abstract It is well known from asymptotic ray theory that the complex wave amplitude along a ray undergoes a phase shift every time the ray touches a caustic surface. If the slowness surface associated with the propagation of this ray is not convex, which is possible for quasi-shear...
FIGURES
Journal Article
Journal: Geophysics
Published: 28 August 2000
Geophysics (2001) 66 (1): 277–282.
... is reached. Computation of amplitudes is achieved using a method similar to that for obtaining the zero-order approximation in asymptotic ray theory. We show comparisons with a full-wave method on readily accessible 3-D velocity models. The first step is the initialization: amplitudes, slowness vectors...
FIGURES | View All (9)
Journal Article
Published: 01 October 1987
Bulletin of the Seismological Society of America (1987) 77 (5): 1655–1673.
...Anne S. Meltzer; Alan R. Levander; Walter D. Mooney Abstract We have interpreted two reversed seismic refraction profiles in the Livermore Valley area of California using travel times and amplitudes calculated with asymptotic ray theory. The upper crustal structure to 5 km depth is different...
Journal Article
Journal: Geophysics
Published: 01 October 1978
Geophysics (1978) 43 (6): 1119–1147.
.... Asymptotic ray theory was applied to calculate reflection amplitudes, accounting for mode conversion and three-dimensional geometric divergence of ray tubes in the presence of curvilinear interfaces. This suite of synthetic seismic sections illustrates the difficulties in making correct seismic...