Propagation Of Transient Elastic Waves In Stratified Anisotropic Media

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Propagation of Transient Elastic Waves in Stratified Anisotropic Media

Author : J.H.M.T. van der Hijden
Publisher : Elsevier
ISBN 13 : 1483295907
Total Pages : 298 pages
Book Rating : 4.4/5 (832 download)

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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 298 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.

Propagation of Transient Elastic Waves in Stratified Anisotropic Media

Author : Joseph H. M. T. van der Hijden
Publisher :
ISBN 13 :
Total Pages : 317 pages
Book Rating : 4.:/5 (324 download)

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Book Synopsis Propagation of Transient Elastic Waves in Stratified Anisotropic Media by : Joseph H. M. T. van der Hijden

Download or read book Propagation of Transient Elastic Waves in Stratified Anisotropic Media written by Joseph H. M. T. van der Hijden and published by . This book was released on 1987 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Propagation of Transient Elastic Waves in Stratified Anisotropic Media

Author : Joseph Henricus Maria Titus van der Hijden
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (557 download)

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Book Synopsis Propagation of Transient Elastic Waves in Stratified Anisotropic Media by : Joseph Henricus Maria Titus van der Hijden

Download or read book Propagation of Transient Elastic Waves in Stratified Anisotropic Media written by Joseph Henricus Maria Titus van der Hijden and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Waves in Anisotropic Laminates

Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 9781420040999
Total Pages : 474 pages
Book Rating : 4.0/5 (49 download)

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Book Synopsis Elastic Waves in Anisotropic Laminates by : G.R. Liu

Download or read book Elastic Waves in Anisotropic Laminates written by G.R. Liu and published by CRC Press. This book was released on 2001-11-13 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultrasonic non-destructive evaluation (NDE) plays an increasingly important role in determining properties and detecting defects in composite materials, and the analysis of wave behavior is crucial to effectively using NDE techniques. The complexity of elastic wave propagation in anisotropic media has led to a reliance on numerical methods of analysis-methods that are often quite time-consuming and whose results yield even further difficulties in extracting explicit phenomena and characteristics. Innovative and insightful, Elastic Waves in Anisotropic Laminates establishes a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. The treatment furnishes a comprehensive introduction, sound theoretical development, and applications to smart materials, plates, and shells. The techniques, detailed in both the time and frequency domains, include methods that combine the finite element method (FEM) with the Fourier transform approach and the strip element method (SEM). These -methods can also be used for expediently finding the Green's function for anisotropic laminates useful for inverse problems related to wave propagation, and methods for inverse analyses, including conjugate gradient methods, and genetic algorithms are also introduced. The text is complemented by many examples generated using software codes based on the techniques developed. Filled with charts and illustrations, Elastic Waves in Anisotropic Laminates is accessible even to readers from non-engineering backgrounds and offers a unique opportunity to discover methods that can lead to an understanding of the dynamic characteristics and wave motion behaviors of advanced composite materials.

Introduction to Elastic Wave Propagation

Author : Anthony Bedford
Publisher : Springer Nature
ISBN 13 : 3031328752
Total Pages : 388 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Introduction to Elastic Wave Propagation by : Anthony Bedford

Download or read book Introduction to Elastic Wave Propagation written by Anthony Bedford and published by Springer Nature. This book was released on 2023-11-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.

Scattering, Two-Volume Set

Author : E. R. Pike
Publisher : Elsevier
ISBN 13 : 0080540732
Total Pages : 1831 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Elastic Wave Field Extrapolation

Author : C.P.A. Wapenaar
Publisher : Elsevier
ISBN 13 : 1483291006
Total Pages : 485 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elastic Wave Field Extrapolation by : C.P.A. Wapenaar

Download or read book Elastic Wave Field Extrapolation written by C.P.A. Wapenaar and published by Elsevier. This book was released on 2014-04-14 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extrapolation of seismic waves from the earth's surface to any level in the subsurface plays an essential role in many advanced seismic processing schemes, such as migration, inverse scattering and redatuming. At present these schemes are based on the acoustic wave equation. This means not only that S-waves (shear waves) are ignored, but also that P-waves (compressional waves) are not handled correctly. In the seismic industry there is an important trend towards multi-component data acquisition. For processing of multi-component seismic data, ignoring S-waves can no longer be justified. Wave field extrapolation should therefore be based on the full elastic wave equation. In this book the authors review acoustic one-way extrapolation of P-waves and introduce elastic one-way extrapolation of P- and S-waves. They demonstrate that elastic extrapolation of multi-component data, decomposed into P- and S-waves, is essentially equivalent to acoustic extrapolation of P-waves. This has the important practical consequence that elastic processing of multi-component seismic data need not be significantly more complicated than acoustic processing of single-component seismic data. This is demonstrated in the final chapters, which deal with the application of wave field extrapolation in the redatuming process of single- and multi-component seismic data. Geophysicists, and anyone who is interested in a review of acoustic and elastic wave theory, will find this book useful. It is also a suitable textbook for graduate students and those following courses in elastic wave field extrapolation as each subject is introduced in a relatively simple manner using the scalar acoustic wave equation. In the chapters on elastic wave field extrapolation the formulation, whenever possible, is analogous to that used in the chapters on acoustic wave field extrapolation. The text is illustrated throughout and a bibliography and keyword index are provided.

IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics

Author : David F. Parker
Publisher : Springer Science & Business Media
ISBN 13 : 940158494X
Total Pages : 529 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics by : David F. Parker

Download or read book IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics written by David F. Parker and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IUTAM-ISIMM Symposium, held in Nottingham, U.K., 30 August--3 September 1994

Elastic wave propagation in transversely isotropic media

Author : R.C. Payton
Publisher : Springer Science & Business Media
ISBN 13 : 9400968663
Total Pages : 203 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Elastic wave propagation in transversely isotropic media by : R.C. Payton

Download or read book Elastic wave propagation in transversely isotropic media written by R.C. Payton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

Materials and Acoustics Handbook

Author : Michel Bruneau
Publisher : John Wiley & Sons
ISBN 13 : 1118622863
Total Pages : 704 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Materials and Acoustics Handbook by : Michel Bruneau

Download or read book Materials and Acoustics Handbook written by Michel Bruneau and published by John Wiley & Sons. This book was released on 2013-05-10 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a group of acoustics and vibration specialists, this book studies the acoustic and vibrating phenomena that occur in diverse materials used for all kinds of purposes. The first part studies the fundamental aspects of propagation: analytical, numerical and experimental. The second part outlines industrial and medical applications. Covering a wide range of topics that associate materials science with acoustics, this will be of invaluable use to researchers, engineers, or practitioners in this field, as well as students in acoustics, physics, and mechanics.

Fundamentals of Seismic Wave Propagation

Author : Chris Chapman
Publisher : Cambridge University Press
ISBN 13 : 9781139451635
Total Pages : 646 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis Fundamentals of Seismic Wave Propagation by : Chris Chapman

Download or read book Fundamentals of Seismic Wave Propagation written by Chris Chapman and published by Cambridge University Press. This book was released on 2004-07-29 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Seismic Wave Propagation, published in 2004, presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.

Wave Propagation in Layered Anisotropic Media

Author : A.H. Nayfeh
Publisher : Elsevier
ISBN 13 : 9780080543734
Total Pages : 331 pages
Book Rating : 4.5/5 (437 download)

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Book Synopsis Wave Propagation in Layered Anisotropic Media by : A.H. Nayfeh

Download or read book Wave Propagation in Layered Anisotropic Media written by A.H. Nayfeh and published by Elsevier. This book was released on 1995-09-27 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.

Seismic Signatures and Analysis of Reflection Data in Anisotropic Media

Author : Ilya Tsvankin
Publisher : SEG Books
ISBN 13 : 1560802995
Total Pages : 470 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Seismic Signatures and Analysis of Reflection Data in Anisotropic Media by : Ilya Tsvankin

Download or read book Seismic Signatures and Analysis of Reflection Data in Anisotropic Media written by Ilya Tsvankin and published by SEG Books. This book was released on 2012 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides essential background on anisotropic wave propagation, introduces efficient notation for transversely isotropic (TI) and orthorhombic media, and identifies the key anisotropy parameters for imaging and amplitude analysis. Particular attention is given to moveout analysis and P-wave time-domain processing for VTI and TTI.

Surface Waves in Anisotropic and Laminated Bodies and Defects Detection

Author : Robert V. Goldstein
Publisher : Springer Science & Business Media
ISBN 13 : 1402023871
Total Pages : 322 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Surface Waves in Anisotropic and Laminated Bodies and Defects Detection by : Robert V. Goldstein

Download or read book Surface Waves in Anisotropic and Laminated Bodies and Defects Detection written by Robert V. Goldstein and published by Springer Science & Business Media. This book was released on 2006-02-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the variety of wave motions one can single out surface wave pr- agation since these surface waves often adjust the features of the energy transfer in the continuum (system), its deformation and fracture. Predicted by Rayleigh in 1885, surface waves represent waves localized in the vicinity ofextendedboundaries(surfaces)of?uidsorelasticmedia. Intheidealcase of an isotropic elastic half-space while the Rayleigh waves propagate along the surface, the wave amplitude (displacement) in the transverse direction exponentially decays with increasing distance away from the surface. As a resulttheenergyofsurfaceperturbationsislocalizedbytheRayleighwaves within a relatively narrow layer beneath the surface. It is this property of the surface waves that leads to the resonance phenomena that accompany the motion of the perturbation sources (like surface loads) with velocities close to the Rayleigh one; (see e. g. , R. V. Goldstein. Rayleigh waves and resonance phenomena in elastic bodies. Journal of Applied Mathematics and Mechanics (PMM), 1965, v. 29, N 3, pp. 608-619). It is essential to note that resonance phenomena are also inherent to the elastic medium in the case where initially there are no free (unloaded) surfaces. However, they occur as a result of an external action accompanied by the violation of the continuity of certain physical quantities, e. g. , by crack nucleation and dynamic propagation. Note that the aforementioned resonance phenomena are related to the nature of the surface waves as homogeneous solutions (eigenfunctions) of the dynamic elasticity equations for a half-space (i. e. nonzero solutions at vanishing boundary conditions).

Seismic Signatures and Analysis of Reflection Data in Anisotropic Media

Author : I. Tsvankin
Publisher : Elsevier
ISBN 13 : 9780080446189
Total Pages : 472 pages
Book Rating : 4.4/5 (461 download)

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Book Synopsis Seismic Signatures and Analysis of Reflection Data in Anisotropic Media by : I. Tsvankin

Download or read book Seismic Signatures and Analysis of Reflection Data in Anisotropic Media written by I. Tsvankin and published by Elsevier. This book was released on 2005-06-13 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the breakthrough in the last decade in identifying the key parameters for time and depth imaging in anisotropic media and developing practical methodologies for estimating them from seismic data, Seismic Signatures and Analysis of Reflection Data in Anisotropic Media primarily focuses on the far reaching exploration benefits of anisotropic processing. This volume provides the first comprehensive description of reflection seismic signatures and processing methods in anisotropic media. It identifies the key parameters for time and depth imaging in transversely isotropic media and describes practical methodologies for estimating them from seismic data. Also, it contains a thorough discussion of the important issues of uniqueness and stability of seismic velocity analysis in the presence of anisotropy. The book contains a complete description of anisotropic imaging methods, from the theoretical background to algorithms to implementation issues. Numerous applications to synthetic and field data illustrate the improvements achieved by the anisotropic processing and the possibility of using the estimated anisotropic parameters in lithology discrimination. Focuses on the far reaching exploration benefits of anisotropic processing First comprehensive description of reflection seismic signatures and processing methods in anisotropic media

Elastic Wave Propagation

Author : F. McCarthy
Publisher : Elsevier
ISBN 13 : 1483290662
Total Pages : 663 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elastic Wave Propagation by : F. McCarthy

Download or read book Elastic Wave Propagation written by F. McCarthy and published by Elsevier. This book was released on 2013-10-22 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites. The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work. The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.

Acoustic Interactions with Submerged Elastic Structures

Author : Ardshir Guran
Publisher : World Scientific
ISBN 13 : 9789812778536
Total Pages : 522 pages
Book Rating : 4.7/5 (785 download)

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Book Synopsis Acoustic Interactions with Submerged Elastic Structures by : Ardshir Guran

Download or read book Acoustic Interactions with Submerged Elastic Structures written by Ardshir Guran and published by World Scientific. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.