Articles liés à Waves and Rays in Elastic Continua

Waves and Rays in Elastic Continua - Couverture rigide

Slawinski, Michael A

 
9789814641753: Waves and Rays in Elastic Continua
Couverture rigide
ISBN 10 : 9814641758 ISBN 13 : 9789814641753
Editeur : World Scientific Publishing Co Pte Ltd, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

The treatment is modern, but the mathematics is presented in a classical style, readable by geophysicists. Slawinski's inclusion of issues related to anisotropy is a must for any modern book on the subject. The text provides a modern mathematical physics context for seismic wave and ray theory, acting as a bridge between the disciplines of mathematical physics and geophysics that will benefit anyone interested in these topics. The craft and care of the author make this new edition highly recommended. --The Leading Edge

Particularly useful are the sets of exercises with complete solutions at the end of each chapter which illustrate important calculations, methods and proofs of theorems. This book touches on several important classical areas of physics and applied mathematics and provides an excellent introduction both to them and to the theory of waves in a geophysical context and is strongly recommended. --Contemporary Physics

The book is interesting and very useful for researchers as well as for senior undergraduate and graduate students working in the mathematical theory of seismology. The author provides a good motivation for each part and closing remarks at the end of each chapter. Also, the exercises at the end of each chapter are of advantage while using the book as a textbook. --Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2015
Langue
anglais
ISBN 10 
9814641758
ISBN 13 
9789814641753
Reliure
Relié
Numéro d'édition
3
Nombre de pages
656
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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