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A Contribution To The Theory Of High Frequency Elastic Waves With Applications To The Shadow Boundary Of The Earths Core
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Book Synopsis A Contribution to the Theory of High Frequency Elastic Waves, with Applications to the Shadow Boundary of the Earth's Core by : Paul G. Richards
Download or read book A Contribution to the Theory of High Frequency Elastic Waves, with Applications to the Shadow Boundary of the Earth's Core written by Paul G. Richards and published by . This book was released on 1970 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.
Book Synopsis Bibliography of Theses in Geology, 1967-1970 by : Dederick C. Ward
Download or read book Bibliography of Theses in Geology, 1967-1970 written by Dederick C. Ward and published by Geological Society of America. This book was released on 1973 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Papers written by and published by . This book was released on 1973 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Upper Mantle Project by : U.S. Upper Mantle Committee
Download or read book Upper Mantle Project written by U.S. Upper Mantle Committee and published by National Academies. This book was released on 1971 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comprehensive Dissertation Index, 1861-1972: Geography and geology by : Xerox University Microfilms
Download or read book Comprehensive Dissertation Index, 1861-1972: Geography and geology written by Xerox University Microfilms and published by . This book was released on 1973 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Upper Mantle Project: United States Progress Report by :
Download or read book Upper Mantle Project: United States Progress Report written by and published by . This book was released on 1971 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Waves in the Earth by : Walter L. Pilant
Download or read book Elastic Waves in the Earth written by Walter L. Pilant and published by Elsevier. This book was released on 2012-12-02 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves in the Earth provides information on the relationship between seismology and geophysics and their general aspects. The book offers elastodynamic equations and derivative equations that can be used in the propagation of elastic waves. It also covers major topics in detail, such as the fundamentals of elastodynamics; the Lamb's problem, which includes the Cagniard-de Hoop theory; rays and modes in a radially inhomogeneous earth and in multilayered media, which includes the Thomson-Haskell theory; the elastic wave dissipation; the seismic source and noise; and the seismographs. The book consists of 33 chapters. The first 16 chapters include basic material related to the propagation of elastic waves. Topics covered by these chapters include scalars, vectors, and tensors in cartesian coordinates, stress and strain analysis, equations of elasticity and motion, plane waves, Rayleigh waves, plane-wave theory, and fluid-fluid and solid-solid interfaces. The second half of the book covers various ray and mode theories, elastic wave dissipation, and the observations and theories of seismic source and seismic noise. It concludes by discussing earthquake seismology and different seismographs, like the pendulum seismometer and the strain seismometer.
Book Synopsis Bibliography of Theses in Geology, 1967-1970 by :
Download or read book Bibliography of Theses in Geology, 1967-1970 written by and published by . This book was released on 1973 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classics of Elastic Wave Theory by : Michael A. Pelissier
Download or read book Classics of Elastic Wave Theory written by Michael A. Pelissier and published by SEG Books. This book was released on 2007 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.
Book Synopsis Theory of Elastic Waves by : Wei Peijun Wei
Download or read book Theory of Elastic Waves written by Wei Peijun Wei and published by . This book was released on 2022-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Elastic Wave Propagation and its Application to Scattering Problems by : Terumi Touhei
Download or read book Theory of Elastic Wave Propagation and its Application to Scattering Problems written by Terumi Touhei and published by CRC Press. This book was released on 2024-04-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic wave propagation applies to a wide variety of fields, including seismology, non-destructive testing, energy resource exploration, and site characterization. New applications for elastic waves are still being discovered. Theory of Elastic Wave Propagation and its Application to Scattering Problems starts from the standpoint of continuum mechanics, explaining stress and strain tensors in terms of mathematics and physics, and showing the derivation of equations for elastic wave motions, to give readers a stronger foundation. It emphasizes the importance of Green’s function for applications of the elastic wave equation to practical engineering problems and covers elastic wave propagation in a half-space, in addition to the spectral representation of Green’s function. Finally, the MUSIC algorithm is used to address inverse scattering problems. Offers comprehensive coverage of fundamental concepts through to contemporary applications of elastic wave propagation Bridges the gap between theoretical principles and practical engineering solutions The book’s website provides the author’s software for analyzing elastic wave propagations, along with detailed answers to the problems presented, to suit graduate students across engineering and applied mathematics.
Book Synopsis High-frequency Approximations in Elastic Wave Theory by : Thomas Bryant Moodie
Download or read book High-frequency Approximations in Elastic Wave Theory written by Thomas Bryant Moodie and published by . This book was released on 1971 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Propagation of Transient Elastic Waves in Stratified Anisotropic Media by : J.H.M.T. van der Hijden
Download or read book Propagation of Transient Elastic Waves in Stratified Anisotropic Media written by J.H.M.T. van der Hijden and published by Elsevier. This book was released on 2016-05-24 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic waves are one of the standard diagnostic tools used to determine the mechanical parameters (volume density of mass, compressibility, elastic stiffness) in the interior of the earth and the geometry of subsurface structures. There is increasing evidence that in the interpretation of seismic data - especially shear-wave data - the influence of anisotropy must be taken into account.This volume presents a method to compute the seismic waves that are generated by an impulsive source in a stratified anisotropic medium. Although written with the seismic applications in mind, the method that is developed is not limited to solid-earth geophysics. In fact, the methods discussed in this monograph are applicable wherever waves propagate in stratified, anisotropic media. The standard approach to this problem is to employ Fourier transformations with respect to time and with respect to the horizontal spatial coordinates. To obtain numerical results, the relevant inverse transformations then have to be evaluated numerically. In this monograph the problem is, in contrast to the standard approach, solved by applying the Cagniard-de Hoop method and by representing the wave field as a sum of generalized rays. With this method, the computational results can be obtained relatively easily with any degree of accuracy, and with considerably less computation time. For completeness, analysis of acoustic waves in stratified isotropic media is included. Furthermore, for large horizontal or vertical source-receiver separations very efficient approximations are derived. Several examples and applications are given.
Book Synopsis Elastic Waves in Layered Media by : William Maurice Ewing
Download or read book Elastic Waves in Layered Media written by William Maurice Ewing and published by . This book was released on 1957 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Waves and Rays in Elastic Continua by : Michael A. Slawinski
Download or read book Waves and Rays in Elastic Continua written by Michael A. Slawinski and published by World Scientific. This book was released on 2010 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the textbook that was first published by Elsevier Science. Professor Slawinski has the copyright to the textbook and the second edition is significantly extended. The present book emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves. The book is divided into three main sections: elastic continua, waves and rays and variational formulation of rays. There is also a fourth part, which consists of appendices. In Part 1, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Part 2, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we use the high-frequency approximation and, hence, establish the concept of a ray. In Part 3, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In Part 4, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.
Book Synopsis Internal Waves and Hydromagnetic Induction in the Earth's Core by : Peter Lee Olson
Download or read book Internal Waves and Hydromagnetic Induction in the Earth's Core written by Peter Lee Olson and published by . This book was released on 1977 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
