Seismic Waves and Rays in Elastic Media

Filename: seismic-waves-and-rays-in-elastic-media.pdf
ISBN: 0080439306
Release Date: 2003
Number of pages: 401
Author: Michael A. Slawinski
Publisher: Elsevier

Download and read online Seismic Waves and Rays in Elastic Media in PDF and EPUB This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used 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, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown 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 travel time.


Seismic Waves and Rays in Elastic Media

Filename: seismic-waves-and-rays-in-elastic-media.pdf
ISBN: 0080439306
Release Date: 2003-08-04
Number of pages: 424
Author: M.A. Slawinski
Publisher: Elsevier

Download and read online Seismic Waves and Rays in Elastic Media in PDF and EPUB This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used 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, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown 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 travel time.


Seismic Waves and Rays in Elastic Media

Filename: seismic-waves-and-rays-in-elastic-media.pdf
ISBN: 9780080540894
Release Date: 2003-08-04
Number of pages: 424
Author: M.A. Slawinski
Publisher: Elsevier

Download and read online Seismic Waves and Rays in Elastic Media in PDF and EPUB This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used 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, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown 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 travel time.


Waves and Rays in Elastic Continua

Filename: waves-and-rays-in-elastic-continua.pdf
ISBN: 9789814644211
Release Date: 2014-12-15
Number of pages: 656
Author: Michael A Slawinski
Publisher: World Scientific Publishing Co Inc

Download and read online Waves and Rays in Elastic Continua in PDF and EPUB The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — 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 Elastic Continua, 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 Waves and Rays, 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 invoke the concept of a ray. In Variational Formulation of Rays, 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 the Appendices, 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. Request Inspection Copy


Fundamentals of Seismic Wave Propagation

Filename: fundamentals-of-seismic-wave-propagation.pdf
ISBN: 1139451634
Release Date: 2004-07-29
Number of pages:
Author: Chris Chapman
Publisher: Cambridge University Press

Download and read online Fundamentals of Seismic Wave Propagation in PDF and EPUB 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.


Seismic Waves in Laterally Inhomogeneous Media Part II

Filename: seismic-waves-in-laterally-inhomogeneous-media-part-ii.pdf
ISBN: 9783034890496
Release Date: 2012-12-06
Number of pages: 374
Author: Ivan Psencik
Publisher: Birkhäuser

Download and read online Seismic Waves in Laterally Inhomogeneous Media Part II in PDF and EPUB The special issue contains contributions presented at the international workshop Seismic waves in laterally inhomogeneous media IV, which was held at the Castle of Trest, Czech Republic, May 22-27, 1995. The workshop, which was attended by about 100 seismologists from more than 10 countries, was devoted mainly to the current state of theoretical and computational means of study of seismic wave propagation in complex structures. The special issue can be of interest for theoretical, global and explorational seismologists. The first part contains papers dealing with the study and the use of various methods of solving forward and inverse problems in complicated structures. Among other methods, discrete-wave number method, the finite-difference method, the edge-wave supperposition method and the ray method are studied and used. Most papers contained in the second part are related to the ray method. The most important topics are two-point ray tracing, grid calculations of travel times and amplitudes and seismic wave propagation in anisotropic media.


Fundamentals of Seismic Wave Propagation

Filename: fundamentals-of-seismic-wave-propagation.pdf
ISBN: 1139451634
Release Date: 2004-07-29
Number of pages:
Author: Chris Chapman
Publisher: Cambridge University Press

Download and read online Fundamentals of Seismic Wave Propagation in PDF and EPUB 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.


Seismic Wave Propagation in Stratified Media

Filename: seismic-wave-propagation-in-stratified-media.pdf
ISBN: 9781921536731
Release Date: 2009-05-01
Number of pages: 288
Author: Brian Kennett
Publisher: ANU E Press

Download and read online Seismic Wave Propagation in Stratified Media in PDF and EPUB Seismic Wave Propagation in Stratified Media presents a systematic treatment of the interaction of seismic waves with Earth structure. The theoretical development is physically based and is closely tied to the nature of the seismograms observed across a wide range of distance scales - from a few kilometres as in shallow reflection work for geophysical prospecting, to many thousands of kilometres for major earthquakes. A unified framework is presented for all classes of seismic phenomena, for both body waves and surface waves. Since its first publication in 1983 this book has been an important resource for understanding the way in which seismic waves can be understood in terms of reflection and transmission properties of Earth models, and how complete theoretical seismograms can be calculated. The methods allow the development of specific approximations that allow concentration on different seismic arrivals and hence provide a direct tie to seismic observations.


Transient Waves in Visco Elastic Media

Filename: transient-waves-in-visco-elastic-media.pdf
ISBN: UCAL:B4331057
Release Date: 1977
Number of pages: 278
Author: Norman Hurd Ricker
Publisher: Elsevier Science & Technology

Download and read online Transient Waves in Visco Elastic Media in PDF and EPUB


Principles of Seismology

Filename: principles-of-seismology.pdf
ISBN: 0521624789
Release Date: 1999
Number of pages: 475
Author: Agustín Udías Vallina
Publisher: Cambridge University Press

Download and read online Principles of Seismology in PDF and EPUB Undergraduate textbook on seismology.


Seismic Ray Theory

Filename: seismic-ray-theory.pdf
ISBN: 0521018226
Release Date: 2005-09-29
Number of pages: 724
Author: V. Cerveny
Publisher: Cambridge University Press

Download and read online Seismic Ray Theory in PDF and EPUB Seismic Ray Theory presents a comprehensive treatment of the seismic ray method. This method plays an important role in seismology, seismic exploration, and in the interpretation of seismic measurements. Many concepts which extend the possibilities and increase the efficiency of the seismic ray method are included. The book has a tutorial character: derivations start with a relatively simple problem, in which the main ideas are easier to explain, and then advance to more complex problems. Most of the derived equations in the book are expressed in algorithmic form and may be used directly for computer programming. This book will prove to be an invaluable advanced textbook and reference volume in all academic institutions in which seismology is taught or researched. It will also be an invaluable resource in the research and exploration departments of the petroleum industry and in geological surveys.


Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation

Filename: fifth-international-conference-on-mathematical-and-numerical-aspects-of-wave-propagation.pdf
ISBN: 0898714702
Release Date: 2000-01-01
Number of pages: 1038
Author: Alfredo Bermœdez
Publisher: SIAM

Download and read online Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation in PDF and EPUB This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.


Seismic Waves in Laterally Inhomogeneous Media

Filename: seismic-waves-in-laterally-inhomogeneous-media.pdf
ISBN: 9783034881463
Release Date: 2013-03-07
Number of pages: 506
Author: Ivan Psencik
Publisher: Birkhäuser

Download and read online Seismic Waves in Laterally Inhomogeneous Media in PDF and EPUB


Seismic Ray Theory

Filename: seismic-ray-theory.pdf
ISBN: 0521018226
Release Date: 2005-09-29
Number of pages: 724
Author: V. Cerveny
Publisher: Cambridge University Press

Download and read online Seismic Ray Theory in PDF and EPUB Seismic Ray Theory presents a comprehensive treatment of the seismic ray method. This method plays an important role in seismology, seismic exploration, and in the interpretation of seismic measurements. Many concepts which extend the possibilities and increase the efficiency of the seismic ray method are included. The book has a tutorial character: derivations start with a relatively simple problem, in which the main ideas are easier to explain, and then advance to more complex problems. Most of the derived equations in the book are expressed in algorithmic form and may be used directly for computer programming. This book will prove to be an invaluable advanced textbook and reference volume in all academic institutions in which seismology is taught or researched. It will also be an invaluable resource in the research and exploration departments of the petroleum industry and in geological surveys.


Computational Science and Its Applications ICCSA 2008

Filename: computational-science-and-its-applications-iccsa-2008.pdf
ISBN: 9783540698401
Release Date: 2008-06-24
Number of pages: 1280
Author: Osvaldo Gervasi
Publisher: Springer Science & Business Media

Download and read online Computational Science and Its Applications ICCSA 2008 in PDF and EPUB The two-volume set LNCS 5072 and 5073 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2008, held in Perugia, Italy in June/July 2008. The two volumes contain papers presenting a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the refereed papers are structured according to the five major conference themes: computational methods, algorithms and applications, high performance technical computing and networks, advanced and emerging applications, geometric modelling, graphics and visualization, information systems and information technologies.