Propagation Of Transient Elastic Waves In Stratified Anisotropic Media PDF Download
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Author | : J.H.M.T. van der Hijden |
Publisher | : Elsevier |
Total Pages | : 299 |
Release | : 2016-05-24 |
Genre | : Science |
ISBN | : 1483295907 |
Download Propagation of Transient Elastic Waves in Stratified Anisotropic Media Book in PDF, ePub and Kindle
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.
Author | : Joseph H. M. T. van der Hijden |
Publisher | : |
Total Pages | : 317 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Propagation of Transient Elastic Waves in Stratified Anisotropic Media Book in PDF, ePub and Kindle
Author | : Joseph Henricus Maria Titus van der Hijden |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Download Propagation of Transient Elastic Waves in Stratified Anisotropic Media Book in PDF, ePub and Kindle
Author | : J. H. M. T. Vanderhijden |
Publisher | : |
Total Pages | : 316 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Propagation of Transient Elastic Waves in Stratified Anisotropic Media Book in PDF, ePub and Kindle
Author | : van der Hijden (Joseph H.M.T.) |
Publisher | : |
Total Pages | : 316 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Propagation of Transient Elastic Waves in Stratified Anisotropic Media Book in PDF, ePub and Kindle
Author | : A.H. Nayfeh |
Publisher | : Elsevier |
Total Pages | : 347 |
Release | : 1995-09-27 |
Genre | : Technology & Engineering |
ISBN | : 0080543731 |
Download Wave Propagation in Layered Anisotropic Media Book in PDF, ePub and Kindle
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.
Author | : R.C. Payton |
Publisher | : Springer Science & Business Media |
Total Pages | : 203 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400968663 |
Download Elastic wave propagation in transversely isotropic media Book in PDF, ePub and Kindle
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.
Author | : Yong-Yun Kim |
Publisher | : |
Total Pages | : 226 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Transient Elastic Waves in Anisotropic Media Book in PDF, ePub and Kindle
Author | : J. D. Achenbach |
Publisher | : Elsevier |
Total Pages | : 440 |
Release | : 2016-01-21 |
Genre | : Science |
ISBN | : 1483163733 |
Download Wave Propagation in Elastic Solids Book in PDF, ePub and Kindle
Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Author | : I. Tsvankin |
Publisher | : Elsevier |
Total Pages | : 472 |
Release | : 2005-06-13 |
Genre | : Science |
ISBN | : 9780080446189 |
Download Seismic Signatures and Analysis of Reflection Data in Anisotropic Media Book in PDF, ePub and Kindle
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