Waves and Rays in Elastic Continua

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9789814289009: Waves and Rays in Elastic Continua

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.

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From the Inside Flap:

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.

Review:

"This textbook serves as a useful reference for both final-year undergraduates and beginning graduate students interested in the application of the mathematical theories of waves to seismic studies. Seismic data analysis has been an important tool in the study of the earth's interior and in the exploration for mineral resources. Techniques for such analysis are often based on semi-empirical models and signal processing algorithms. This book provides a comprehensive theoretical framework for the understanding of the propagation of seismic wave energy based on wave and ray theories. It fills in a gap between the more practical, empirical approaches and the mathematical theories of waves in elastic media. Overall, it is an excellent book which deserves a second look." -- --Lim Hock, Director Temasek Laboratories

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Michael Slawinski
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ISBN 10: 9814289000 ISBN 13: 9789814289009
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Descripción World Scientific Publishing Co Pte Ltd, 2009. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9789814289009

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Descripción World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9789814289009

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Descripción World Scientific Publishing Co Pte Ltd, 2009. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9789814289009

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Michael Slawinski
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Descripción World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9789814289009

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Michael A. Slawinski
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Descripción World Scientific Publishing Co, 2010. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería 9814289000

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Descripción World Scientific Publishing Company 2010-11-09, 2010. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-MAR-00032723

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Descripción World Scientific Publishing Co Pte Ltd. Hardback. Estado de conservación: new. BRAND NEW, Waves and Rays in Elastic Continua, Michael Slawinski, 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. Nº de ref. de la librería B9789814289009

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Michael A. Slawinski
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Descripción World Scientific Publishing Company, 2010. Hardcover. Estado de conservación: New. 2. Nº de ref. de la librería DADAX9814289000

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Descripción Hardcover. Estado de conservación: New. Hardcover. The present book - which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science - emphasizes the interd.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. This item is printed on demand. 583 pages. 0.998. Nº de ref. de la librería 9789814289009

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Slawinski Michael
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Descripción World Scientific Publishing Company, Incorporated. Estado de conservación: New. pp. 616. Nº de ref. de la librería 6432379

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