Seismic Waves and Rays in Elastic Media 1st Edition by Slawinski ISBN 9780080439303 0080439306

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Product details: 

ISBN 10:   0080439306

ISBN 13: 9780080439303

Author: M.A. Slawinski 
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.

Table of contents: 

I. Elastic Continua

Introduction to Part I

Deformations

Forces and Balance Principles

Stress–Strain Equations

Strain Energy

Material Symmetry

II. Waves and Rays

Introduction to Part II

Equations of Motion: Isotropic Homogeneous Continua

Equations of Motion: Anisotropic Inhomogeneous Continua

Hamilton’s Ray Equations

Lagrange’s Ray Equations

Christoffel’s Equations

Reflection and Transmission

III. Variational Formulation of Rays

Introduction to Part III

Euler’s Equations

Fermat’s Principle

Ray Parameters

IV. Appendices

Introduction to Part IV
A. Euler’s Homogeneous-Function Theorem
B. Legendre’s Transformation
C. List of Symbols

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Tags: Slawinski, Seismic Waves, Rays in Elastic