Waves And Rays In Seismology

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Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition)

Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9813239891
Total Pages : 577 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2018-05-04 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'In summary, Professor Slawinski has written an engaging volume covering an unfamiliar topic in a highly accessible fashion. Non-specialists will gain a significant appreciation of the unique complexities associated with seismology.'Contemporary PhysicsThe author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying and rearranging them in a logical order. It is thus not intended to teach tools and techniques of the trade, but to discuss the foundations on which seismology — and in a larger sense, the theory of wave propagation in solids — is built. A key question is: why and to what degree can a theory developed for an elastic continuum be used to investigate the propagation of waves in the Earth, which is neither a continuum nor fully elastic. But the scrutiny of the foundations goes much deeper: material symmetry, effective tensors, equivalent media; the influence (or, rather, the lack thereof) of gravitational and thermal effects and the rotation of the Earth, are discussed ab initio. The variational principles of Fermat and Hamilton and their consequences for the propagation of elastic waves, causality, Noether's theorem and its consequences on conservation of energy and conservation of linear momentum are but a few topics that are investigated in the process to establish seismology as a science and to investigate its relation to subjects like realism and empiricism in natural sciences, to the nature of explanations and predictions, and to experimental verification and refutation.In the second edition, new sections, figures, examples, exercises and remarks are added. Most importantly, however, four new appendices of about one-hundred pages are included, which can serve as a self-contained continuum-mechanics course on finite elasticity. Also, they broaden the scope of elasticity theory commonly considered in seismology.

Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition)

Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226458
Total Pages : 654 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-11-20 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.

Seismic Waves and Rays in Elastic Media

Author : M.A. Slawinski
Publisher : Elsevier
ISBN 13 : 0080540899
Total Pages : 425 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Seismic Waves and Rays in Elastic Media by : M.A. Slawinski

Download or read book Seismic Waves and Rays in Elastic Media written by M.A. Slawinski and published by Elsevier. This book was released on 2003-08-04 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 (3rd Edition)

Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9814644218
Total Pages : 654 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Waves And Rays In Elastic Continua (3rd Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua (3rd Edition) written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2014-12-15 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Waves and Rays in Elastic Continua

Author : Michael A. Slawinski
Publisher : World Scientific
ISBN 13 : 9814289000
Total Pages : 614 pages
Book Rating : 4.8/5 (142 download)

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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.

Wavefronts and Rays in Seismology

Author : Michael A. Slawinski
Publisher :
ISBN 13 : 9789814644815
Total Pages : pages
Book Rating : 4.6/5 (448 download)

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Book Synopsis Wavefronts and Rays in Seismology by : Michael A. Slawinski

Download or read book Wavefronts and Rays in Seismology written by Michael A. Slawinski and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscoelastic Waves and Rays in Layered Media

Author : Roger Borcherdt
Publisher : Cambridge University Press
ISBN 13 : 1108495699
Total Pages : 519 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Viscoelastic Waves and Rays in Layered Media by : Roger Borcherdt

Download or read book Viscoelastic Waves and Rays in Layered Media written by Roger Borcherdt and published by Cambridge University Press. This book was released on 2020-10-22 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.

Waves And Rays In Elastic Continua

Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107677
Total Pages : 614 pages
Book Rating : 4.8/5 (131 download)

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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 Publishing Company. This book was released on 2010-09-09 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the second, and significantly extended, 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.

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.

Seismic Ray Theory

Author : V. Cerveny
Publisher : Cambridge University Press
ISBN 13 : 0521366712
Total Pages : 723 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Seismic Ray Theory by : V. Cerveny

Download or read book Seismic Ray Theory written by V. Cerveny and published by Cambridge University Press. This book was released on 2001-07-02 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the seismic ray method; an invaluable advanced textbook and reference volume.

Seismic Waves and Rays in Elastic Media

Author : M.A. Slawinski
Publisher : Elsevier
ISBN 13 : 9780080439303
Total Pages : 424 pages
Book Rating : 4.4/5 (393 download)

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Book Synopsis Seismic Waves and Rays in Elastic Media by : M.A. Slawinski

Download or read book Seismic Waves and Rays in Elastic Media written by M.A. Slawinski and published by Elsevier. This book was released on 2003-08-04 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Seismology

Author : Agustín Udías Vallina
Publisher : Cambridge University Press
ISBN 13 : 9780521624787
Total Pages : 500 pages
Book Rating : 4.6/5 (247 download)

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Book Synopsis Principles of Seismology by : Agustín Udías Vallina

Download or read book Principles of Seismology written by Agustín Udías Vallina and published by Cambridge University Press. This book was released on 1999 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, is an introductory text on seismology for upper division undergraduates and graduate students.

Seismic Waves and Sources

Author : A. Ben-Menahem
Publisher : Springer Science & Business Media
ISBN 13 : 1461258561
Total Pages : 1127 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Seismic Waves and Sources by : A. Ben-Menahem

Download or read book Seismic Waves and Sources written by A. Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes come and go as they please, leaving behind them trails of destruc tion and casualties. Although their occurrence is little affected by what we do or think, it is the task of earth scientists to keep studying them from all possible angles until ways and means are found to divert, forecast, and eventually control them. In ancient times people were awestruck by singular geophysical events, which were attributed to supernatural powers. It was recognized only in 1760 that earthquakes originated within the earth. A hundred years later, first systematic attempts were made to apply physical principles to study them. During the next century scientists accumulated knowledge about the effects of earthquakes, their geographic patterns, the waves emitted by them, and the internal constitution of the earth. During the past 20 years, seismology has made a tremendous progress, mainly because of the advent of modern computers and improvements in data acquisi tion systems, which are now capable of digital and analog recording of ground motion over a frequency range of five orders of magnitude. These technologic developments have enabled seismologists to make measurements with far greater precision and sophistication than was previously possible. Advanced computational analyses have been applied to high-quality data and elaborate theoretical models have been devised to interpret them. As a result, far reaching advances in our knowledge of the earth's structure and the nature of earthquake sources have occurred.

Seismology: Body Waves and Sources

Author : Bruce Bolt
Publisher : Elsevier
ISBN 13 : 0323152015
Total Pages : 402 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Seismology: Body Waves and Sources by : Bruce Bolt

Download or read book Seismology: Body Waves and Sources written by Bruce Bolt and published by Elsevier. This book was released on 2012-12-02 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods in Computational Physics, Volume 12: Seismology: Body Waves and Sources is a six-chapter text that covers the numerical solution of some major problems on seismic body wave propagation and generation in the Earth. Chapter 1 considers the power of the computer to trace out detailed seismic response by means of ray theory, based from the results gathered in Soviet Union and the Continent. Chapter 2 exposes the finite difference methods employed to obtain complete theoretical seismograms for a source in a layered half-space, in wedges, and in a sphere, along with an outline of normal mode solutions for a source in a sphere and the ray expansion method. Chapter 3 discusses the theory and method of solution of the signals diffracted by the Earth's core using the response integral, the differential equations, and boundary conditions. This chapter deals also with the method of finding numerically the reflection coefficient in an inhomogeneous model. Chapter 4 describes a method for finding seismic velocity distributions that fit a given set of data and having found such distributions how to quantitatively assess their degree of uncertainty, such as their uniqueness. Chapter 5 surveys the theory of an observational technique for studying earthquake mechanism, while Chapter 6 provides a summary of theories of seismology and the important computational techniques together with some of their applications to seismic-source studies. This book will be greatly appreciated by geoscientists, physicists, and mathematicians.

Modern Global Seismology

Author : Thorne Lay
Publisher : Elsevier
ISBN 13 : 0080536719
Total Pages : 535 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modern Global Seismology by : Thorne Lay

Download or read book Modern Global Seismology written by Thorne Lay and published by Elsevier. This book was released on 1995-05-18 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as an introduction to the field, Modern Global Seismology is a complete, self-contained primer on seismology. It features extensive coverage of all related aspects, from observational data through prediction, emphasizing the fundamental theories and physics governing seismic waves--both natural and anthropogenic. Based on thoroughly class-tested material, the text provides a unique perspective on the earths large-scale internal structure and dynamic processes, particularly earthquake sources, and on the application of theory to the dynamic processes of the earths upper skin. Authored by two experts in the field of geophysics. this insightful text is designed for the first-year graduate course in seismology. Exploration seismologists will also find it an invaluable resource on topics such as elastic-wave propagation, seismicinstrumentation, and seismogram analysis useful in interpreting their high-resolution images of structure for oil and mineral resource exploration. More than 400 illustrations, many from recent research articles, help readers visualize mathematical relationships 49 Boxed Features explain advanced topics Provides readers with the most in-depth presentation of earthquake physics available Contains incisive treatments of seismic waves, waveform evaluation and modeling, and seismotectonics Provides quantitative treatment of earthquake source mechanics Contains numerous examples of modern broadband seismic recordings Fully covers current seismic instruments and networks Demonstrates modern waveform inversion methods Includes extensive references for further reading

Elastic Waves in the Earth

Author : Walter L. Pilant
Publisher : Elsevier
ISBN 13 : 0444601945
Total Pages : 506 pages
Book Rating : 4.4/5 (446 download)

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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.

Introduction to Seismology

Author : Peter M. Shearer
Publisher : Cambridge University Press
ISBN 13 : 1139478753
Total Pages : 397 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Introduction to Seismology by : Peter M. Shearer

Download or read book Introduction to Seismology written by Peter M. Shearer and published by Cambridge University Press. This book was released on 2009-06-11 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an approachable and concise introduction to seismic theory, designed as a first course for undergraduate students. It clearly explains the fundamental concepts, emphasizing intuitive understanding over lengthy derivations. Incorporating over 30% new material, this second edition includes all the topics needed for a one-semester course in seismology. Additional material has been added throughout including numerical methods, 3-D ray tracing, earthquake location, attenuation, normal modes, and receiver functions. The chapter on earthquakes and source theory has been extensively revised and enlarged, and now includes details on non-double-couple sources, earthquake scaling, radiated energy, and finite slip inversions. Each chapter includes worked problems and detailed exercises that give students the opportunity to apply the techniques they have learned to compute results of interest and to illustrate the Earth's seismic properties. Computer subroutines and datasets for use in the exercises are available at www.cambridge.org/shearer.