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Seismic Ray Theory

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TLDR
In this article, the elastodynamics and its simple solutions of dynamic ray tracing are discussed. But they do not consider the effect of the propagation speed of the ray on the propagation.
Abstract
Preface 1. Introduction 2. The elastodynamics and its simple solutions 3. Seismic rays and travel times 4. Dynamic ray tracing. Paraxial ray methods 5. Ray amplitudes 6. Ray synthetic seismograms Appendix. Fourier transform, Hilbert transform and analytical signals References Index.

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Journal ArticleDOI

Interpretation Theory in Applied Geophysics Grant (McGraw-Hill, 140s.)

TL;DR: Interpretation theory in applied geophysics: Grant, F S as mentioned in this paper, Unknown Binding, January 1, 1965 5.0 out of 5 stars 1 rating. Read it now.
Book

Quantitative Seismic Interpretation: Applying Rock Physics Tools to Reduce Interpretation Risk

TL;DR: In this paper, the authors present a statistical rock physics approach combining rock physics, information theory, and statistics to reduce uncertainty in seismic data. But they do not discuss the use of statistical methods for quantitative seismic interpretation.
Book ChapterDOI

Fourier Integral Operators

TL;DR: In this paper, the Fourier integral operators (FIFO) were examined for hyperbolic types of elliptic differential equations, and a wider class of operators, the so-called FIFO-integral operators (Egorov [1975], Hormander [1968, 1971, 1983, 1985], Kumano-go [1982], Shubin [1978], Taylor [1981], Treves [1980]).
Book

Full Seismic Waveform Modelling and Inversion

TL;DR: In this article, the authors proposed a numerical solution of the Elastic Wave Equation and computing sensitivity kernel for full waveform tomography for upper-mantle structure in Australasian Region.
Journal ArticleDOI

Wave front evolution in strongly heterogeneous layered media using the fast marching method

TL;DR: In this article, a grid-based numerical scheme for tracking the evolution of monotonically advancing interfaces via finite-difference solution of the eikonal equation is proposed to find later arriving phases in layered media.
References
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Book

Acoustic Fields and Waves in Solids

Bert A. Auld
TL;DR: In this article, the authors apply the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators).
Book

Micromechanics of defects in solids

TL;DR: In this paper, the authors present numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals using double kink mechanisms for discrete dislocations in BCCs.
Journal ArticleDOI

Geometrical Theory of Diffraction

TL;DR: The mathematical justification of the theory on the basis of electromagnetic theory is described, and the applicability of this theory, or a modification of it, to other branches of physics is explained.
Book

Radiation and scattering of waves

TL;DR: The Asympotic Evaluation of Integrals (AEEI) as mentioned in this paper is a classic in the field of electromagnetics and acoustics that provides complete coverage of radiation and scattering of waves.
Journal ArticleDOI

Smoothing by spline functions. II

TL;DR: In this paper, the authors generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence, which is the same as in this paper.