Seismic ray method: Recent developments
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[1] Errors Due to the Common Ray Approximations of the Coupling Ray Theory , 2004 .
[2] V. Červený,et al. Paraxial ray approximations in the computation of seismic wavefields in inhomogeneous media , 1984 .
[3] L. Thomsen. Weak elastic anisotropy , 1986 .
[4] R. Coates,et al. Quasi-shear wave coupling in weakly anisotropic 3-D media , 1990 .
[5] Isabelle Lecomte. Hybrid Modeling With Ray Tracing And Finite Difference. , 1996 .
[6] P. Podvin,et al. Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools , 1991 .
[7] Jianguo Sun. True-amplitude weight functions in 3D limited-aperture migration revisited , 2004 .
[8] C. Thomson,et al. Ray-theory Green's function reciprocity and ray-centred coordinates in anisotropic media , 1992 .
[9] C. Thomson. Modelling surface waves in anisotropic structures I. Theory , 1997 .
[10] Ehud Heyman,et al. Frame‐based Gaussian beam summation method: Theory and applications , 2003 .
[11] I. Pšenčík,et al. Point source radiation in inhomogeneous anisotropic structures , 1996 .
[12] Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media , 2002 .
[13] Martin Tygel,et al. The Kirchhoff–Helmholtz integral for anisotropic elastic media , 2001 .
[14] M. M. Popov,et al. Computation of wave fields in inhomogeneous media — Gaussian beam approach , 1982 .
[15] A. Gangi,et al. Anisotropy 2000: Fractures, Converted Waves, and Case Studies , 2001 .
[16] Rémi Abgrall,et al. Big ray-tracing and eikonal solver on unstructured grids: Application to the computation of a multivalued traveltime field in the Marmousi model , 1999 .
[17] Spatial derivatives and perturbation derivatives of amplitude in isotropic and anisotropic media , 2006 .
[18] A. Kiselev,et al. The two-component representation of time-harmonic elastic body waves in the high- and intermediate-frequency regimes , 1997 .
[19] GREEN'S FUNCTIONS FOR INHOMOGENEOUS WEAKLY ANISOTROPIC MEDIA , 1998 .
[20] C. Chapman,et al. 9 - Seismic Ray Theory and Finite Frequency Extensions , 2002 .
[21] Luděk Klimeš,et al. Gaussian packets in the computation of seismic wavefields , 1989 .
[22] J. Tromp,et al. Theoretical Global Seismology , 1998 .
[23] S. Jonathan Chapman,et al. On the Theory of Complex Rays , 1999, SIAM Rev..
[24] Ekkehart Tessmer,et al. 3-D seismic modelling of general material anisotropy in the presence of the free surface by a Chebyshev spectral method , 1995 .
[25] Seismic-ray tracing , 1976 .
[26] K. Yomogida. Gaussian beams for surface waves in transversely isotropic media , 1987 .
[27] Point-to-curve ray tracing , 1996 .
[28] D. Gajewski,et al. Vector wavefields for weakly attenuating anisotropic media by the ray method , 1992 .
[29] Håvar Gjøystdal,et al. Part II: Tracing and interpolation1 , 1996 .
[30] C. Chapman,et al. Application of the Maslov Seismogram Method in Three Dimensions , 2002 .
[31] C. Thomson,et al. Geometrical theory of shear-wave splitting: corrections to ray theory for interference in isotropic/anisotropic transitions , 1992 .
[32] Ray method of calculating the intensity of wavefronts in the case of a heterogeneous, anisotropic, elastic medium , 1994 .
[33] Russell Johnson. An example concerning the geometric significance of the rotation number — integrated density of states , 1986 .
[34] Robert L. Nowack,et al. Perturbation from isotropic to anisotropic heterogeneous media in the ray approximation , 1991 .
[35] Håvar Gjøystdal,et al. Review of Ray Theory Applications in Modelling and Imaging of Seismic Data , 2002 .
[36] J. A. Arnaud. Modes in helical gas lenses. , 1972, Applied optics.
[37] Sobolev Scalar Products in the Construction of Velocity Models: Application to Model Hess and to SEG/EAGE Salt Model , 2002 .
[38] V. Farra. Ray perturbation theory for heterogeneous hexagonal anisotropic media , 1989 .
[39] Y. Kravtsov,et al. Geometrical optics of inhomogeneous media , 2019, Geometrical Optics of Weakly Anisotropic Media.
[40] Karel,et al. Smoothing the Marmousi Model , 2001 .
[41] Vlastislav Červený,et al. Ray method in seismology , 1977 .
[42] L. Felsen,et al. Radiation and scattering of waves , 1972 .
[43] L. Felsen,et al. Hybrid ray-mode analysis of acoustic scattering from a finite, fluid-loaded plate , 1995 .
[44] V. P. Maslov,et al. Theory of perturbations and asymptotic methods , 1972 .
[45] Kurt Bernardo Wolf,et al. Canonical transforms. I. Complex linear transforms , 1974 .
[46] D. Gajewski,et al. Vertical seismic profile synthetics by dynamic ray tracing in laterally varying layered anisotropic structures , 1990 .
[47] C. Thomson. Coherent-state analysis of the seismic head wave problem: an overcomplete representation and its relationship to rays and beams , 2003 .
[48] Z. Zalevsky,et al. The Fractional Fourier Transform: with Applications in Optics and Signal Processing , 2001 .
[49] R. G. Pratt,et al. Travel time tomography in anisotropic media , 1990 .
[50] E. Iversen. Derivatives of reflection point coordinates with respect to model parameters , 1996 .
[51] M. Alonso,et al. Fractional Legendre transformation , 1995 .
[52] Raul Madariaga,et al. Seismic waveform modeling in heterogeneous media by ray perturbation theory , 1987 .
[53] Phase shift at caustics along rays in anisotropic media , 1998 .
[54] Klauder. Semiclassical quantization of classically chaotic systems. , 1987, Physical review letters.
[56] Luděk Klimeš,et al. Discretization error for the superposition of Gaussian beams , 1986 .
[57] V. Červený. SEIS83-Numerical Modeling of Seismic Wave Fields in 2-D Laterally Varying Layered Structures by the Ray Method , 1984 .
[58] J. Dellinger,et al. Quasi-shear waves in inhomogeneous weakly anisotropic media by the quasi-isotropic approach: A model study , 2001 .
[59] V. Farra. First-order ray tracing for qS waves in inhomogeneous weakly anisotropic media , 2005 .
[60] L. Klimeš. Ray-centred coordinate systems in anisotropic media , 2006 .
[61] Robert L. Nowack,et al. Calculation of Synthetic Seismograms with Gaussian Beams , 2003 .
[62] R. Coates,et al. Generalized Born scattering of elastic waves in 3-D media , 2007 .
[63] Robert L. Nowack,et al. Gaussian beam synthetic seismograms , 1986 .
[64] Y. Kravtsov,et al. Caustics, Catastrophes and Wave Fields , 1993 .
[65] C. H. Chapman,et al. Reflection/transmission coefficient reciprocities in anisotropic media , 1994 .
[66] Petr Bulant,et al. Two-point ray tracing in 3-D , 1996 .
[67] Benjamin S. White,et al. Gaussian wave packets in inhomogeneous media with curved interfaces , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[68] Asymptotic estimation of the optical wave propagator. I. Derivation of a new method , 1998 .
[69] Analytical One-Way Plane-Wave Solution in the 1-D Anisotropic “Simplified Twisted Crystal” Model , 2004 .
[70] Karel Žáček,et al. Optimization of the shape of Gaussian beams , 2006 .
[71] K. Yomogida. Gaussian beams for surface waves in laterally slowly-varying media , 1985 .
[72] M. M. Popov,et al. Computation of ray amplitudes in inhomogeneous media with curved interfaces , 1978 .
[73] Tappert,et al. Study of horizontal multipaths and ray chaos due to ocean mesoscale structure , 2000, The Journal of the Acoustical Society of America.
[74] L. Klimeš,et al. The relation between Gaussian beams and Maslov asymptotic theory , 1984 .
[75] J. Vidale. Finite‐difference calculation of traveltimes in three dimensions , 1990 .
[76] N. R. Hill,et al. Prestack Gaussian‐beam depth migration , 2001 .
[77] Numerical comparison of the isotropic-common-ray and anisotropic-common-ray approximations of the coupling ray theory , 2007 .
[78] K. Žáček. Decomposition of the wave field into optimized Gaussian packets , 2003 .
[79] A. M. Li︠a︡punov. Problème général de la stabilité du mouvement , 1949 .
[80] Phase Shift of the Green Function Due to Caustics In Anisotropic Media , 1997 .
[81] Comparison of Ray Methods with the Exact Solution in the 1-D Anisotropic “Simplified Twisted Crystal” Model , 2004 .
[82] C. Thomson,et al. Modelling surface waves in anisotropic structures II: Examples , 1997 .
[83] C. Thomson,et al. Maslov Ray Summation, Pseudo-Caustics, Lagrangian Equivalence and Transient Seismic Waveforms , 1993 .
[84] Håvar Gjøystdal,et al. Traveltime and amplitude estimation using wavefront construction , 1993 .
[85] L. Klimeš. Grid travel-time tracing: Second-order method for the first arrivals in smooth media , 1996 .
[86] Lyapunov Exponents for 2-D Ray Tracing Without Interfaces , 2002 .
[87] Gilles Lambaré,et al. Two-dimensional multivalued traveltime and amplitude maps by uniform sampling of a ray field , 1996 .
[88] L. Klimeš. Transformations for dynamic ray tracing in anisotropic media , 1994 .
[89] S. Katok. THE ESTIMATION FROM ABOVE FOR THE TOPOLOGICAL ENTROPY OF A DIFFEOMORPHISM , 1980 .
[90] Seismic coherent states and ray geometrical spreading , 2001 .
[91] A. Savchenko. Asymptotic theory of wave propagation , 1999 .
[92] B. Ursin,et al. Reciprocal volume and surface scattering integrals for anisotropic elastic media , 1997 .
[93] Jiří Jech,et al. First-order perturbation method for anisotropic media , 1989 .
[94] R. G. Pratt,et al. Traveltime tomography in anisotropic media—I. Theory , 1992 .
[95] Common-ray tracing and dynamic ray tracing for S waves in a smooth elastic anisotropic medium , 2006 .
[96] Joseph B. Keller,et al. Elastic Wave Propagation in Homogeneous and Inhomogeneous Media , 1959 .
[97] D. Robert,et al. A Proof of the Gutzwiller Semiclassical Trace Formula Using Coherent States Decomposition , 1998, math-ph/9807005.
[98] P. Bulant. Two-point Ray Tracing And Controlled Initial-value Ray Tracing In 3-D Heterogeneous Block Structures , 1997 .
[99] Dirk Gajewski,et al. Computation of high-frequency seismic wavefields in 3-D laterally inhomogeneous anisotropic media , 1987 .
[100] V. Vavryčuk. Applicability of higher‐order ray theory for S wave propagation in inhomogeneous weakly anisotropic elastic media , 1999 .
[101] S. L. Bégat,et al. Sensitivity of qP-wave traveltimes and polarization vectors to heterogeneity, anisotropy and interfaces , 1995 .
[102] V. Farra,et al. Computation of second-order traveltime perturbation by Hamiltonian ray theory , 1999 .
[103] G. Nolet,et al. Chaotic ray behaviour in regional seismology , 1997 .
[104] William Hung Kan Lee,et al. International handbook of earthquake and engineering seismology , 2002 .
[105] Numerical Algorithm of the Coupling Ray Theory in Weakly Anisotropic Media , 2002 .
[106] Douglas J. Foster,et al. Global asymptotic solutions of the wave equation , 1991 .
[107] C. Thomson. The ‘gap’ between seismic ray theory and ‘full’ wavefield extrapolation , 2002 .
[108] C. Thomson. Complex Rays and Wave Packets for Decaying Signals in Inhomogeneous, Anisotropic and Anelastic Media , 2002 .
[109] C. Chapman. Fundamentals of Seismic Wave Propagation: Frontmatter , 2004 .
[110] A. Hanyga. The kinematic inverse problem for weakly laterally inhomogeneous anisotropic media , 1982 .
[111] V. Červený,et al. Seismic Ray Theory , 2001, Encyclopedia of Solid Earth Geophysics.
[112] V. Červený. Seismic Rays and Ray Intensities in Inhomogeneous Anisotropic Media , 1972 .
[113] Point‐to‐curve ray tracing in complicated geological models1 , 1995 .
[114] First-Order Perturbation Theory for Seismic Isochrons , 2001 .
[115] M. Kvasnička,et al. 3-D network ray tracing , 1994 .
[116] Theory of seismic diffractions. Open File Publications No.1 , 1994 .
[117] C. H. Chapman,et al. Body-wave seismograms in inhomogeneous media using Maslov asymptotic theory , 1982 .
[118] Petr Bulant,et al. INTERPOLATION OF RAY THEORY TRAVELTIMES WITHIN RAY CELLS , 1999 .
[119] A. Hanyga. Asymptotic edge-and-vertex diffraction theory , 1995 .
[120] J. Woodhouse. Surface Waves in a Laterally Varying Layered Structure , 1974 .
[121] First-order ray tracing for qP waves in inhomogeneous, weakly anisotropic media , 2005 .
[122] Håvar Gjøystdal,et al. Estimation of multivalued arrivals in 3D models using wavefront construction—Part I , 1996 .
[123] V. I. Oseledec. A multiplicative ergodic theorem: Lyapunov characteristic num-bers for dynamical systems , 1968 .
[124] L. Klimeš,et al. Optimization of the Shape of Gaussian Beams of a Fixed Length , 1989 .
[125] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .
[126] Benjamin S. White,et al. Random rays and seismic amplitude anomalies , 1988 .
[127] Errors due to the anisotropic-common-ray approximation of the coupling ray theory , 2006 .
[128] T. Moser. Shortest path calculation of seismic rays , 1991 .
[129] Coupled Anisotropic Shear-wave Ray Tracing in Situations where Associated Slowness Sheets Are Almost Tangent , 2002 .
[130] A. Liapounoff,et al. Problème général de la stabilité du mouvement , 1907 .
[131] Y. Kravtsov,et al. I Theory and Applications of Complex Rays , 1999 .
[132] Einar Iversen,et al. The isochron ray in seismic modeling and imaging , 2004 .
[133] E. Condon,et al. Immersion of the Fourier Transform in a Continuous Group of Functional Transformations. , 1937, Proceedings of the National Academy of Sciences of the United States of America.
[134] M. Popov. A new method of computation of wave fields using Gaussian beams , 1982 .
[135] Larry Lines,et al. Theory of seismic diffractions , 1994 .
[136] F. Dahlen,et al. Mode-sum to ray-sum transformation in a spherical and an aspherical earth , 1996 .
[137] A. Aizenberg,et al. The ray method and the theory of edge waves , 1984 .
[138] Luděk Klimeš,et al. Expansion of a high-frequency time-harmonic wavefield given on an initial surface into Gaussian beams , 1984 .
[139] V. Vavryčuk. Ray tracing in anisotropic media with singularities , 2001 .
[140] Håvar Gjøystdal,et al. Estimation of multivalued arrivals in 3D models using wavefront construction , 1993 .
[141] Jack K. Cohen,et al. Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion , 2001 .
[142] Vlastislav Červený,et al. Synthetic body wave seismograms for laterally varying media containing thin transition layers , 1989 .
[143] Computation of additional components of the first-order ray approximation in isotropic media , 1996 .
[144] J. E. Reinhardsen,et al. COMPUTER REPRESENTATION OF COMPLEX 3‐D GEOLOGICAL STRUCTURES USING A NEW “SOLID MODELING” TECHNIQUE* , 1985 .
[145] Norman Bleistein,et al. Mathematical Methods for Wave Phenomena , 1984 .
[146] Vlastislav Cerveny,et al. Fresnel volume ray tracing , 1992 .
[147] D. Gajewski,et al. Polarization, phase velocity, and NMO velocity of qP-waves in arbitrary weakly anisotropic media , 1998 .
[148] Giardini Domenico,et al. 3D Hybrid Ray-FD and DWN-FD Seismic Modeling for Simple Models Containing Complex Local Structures , 2002 .
[149] I. Pšenčík,et al. Properties of the zeroth-, first-, and higher-order approximations of attributes of elastic waves in weakly anisotropic media. , 2003, The Journal of the Acoustical Society of America.
[150] Martin Tygel,et al. 3-D true‐amplitude finite‐offset migration , 1993 .
[151] V. Červený,et al. Tunneling of seismic body waves through thin high-velocity layers in complex structures , 1992 .
[152] Review of the Anisotropic Interface Ray Propagator: Symplecticity, Eigenvalues, Invariants and Applications , 2004 .
[153] Application of the Medium Covariance Functions to Travel-time Tomography , 2002 .
[154] V. M. Babich,et al. Complex space-time ray method and “quasiphotons” , 1984 .
[155] N. R. Hill,et al. Gaussian beam migration , 1990 .