Viscoelastic waves and rays in layered media

Viscoelastic waves and rays in layered media

by Borcherdt, Roger D.

Type Book
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"The first edition of this book was a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The second edition extends this exposition to include the theory of general rays and head waves. These theories, previously not published in another book, provide solutions for many of the fundamental wave-propagation and ray-theory problems of seismology and other fields in the general context of any viscoelas…

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Title Statements

  • Full title :Viscoelastic waves and rays in layered media / Roger D. Borcherdt.

Summary

"The first edition of this book was a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The second edition extends this exposition to include the theory of general rays and head waves. These theories, previously not published in another book, provide solutions for many of the fundamental wave-propagation and ray-theory problems of seismology and other fields in the general context of any viscoelastic media with a linear response (elastic or anelastic). They explain observed characteristics of two- and three-dimensional anelastic body and surface waves, head waves, and general rays not accounted for by elastic or one-dimensional anelastic models"--

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Edition Statements

  • Publication Date:©2020
  • Edition:Second edition

Publication Statements

The Physical Object

  • Description:1 online resource (xxv, 491 pages) : : illustrations

Edition Identifiers

  • ISBN:9781108862660, 1108862667
  • oclc:on1145903524
  • LC Classification:QA935
  • Dewey Decimal:532/.0533

Table of Contents

Cover -- Half-title -- Title page -- Copyright information -- Dedication -- Contents -- Preface -- Historical Prologue -- 1 One-Dimensional Viscoelasticity -- 1.1 Constitutive Law -- 1.2 Stored and Dissipated Energy -- 1.3 Physical Models -- 1.4 Equation of Motion -- 1.5 Problems -- 2 Three-Dimensional Viscoelasticity -- 2.1 Constitutive Law -- 2.2 Stress-Strain Notation -- 2.3 Equation of Motion -- 2.4 Correspondence Principle -- 2.5 Energy Balance -- 2.6 Problems -- 3 Viscoelastic P, SI, and SII Waves -- 3.1 Solutions of Equation of Motion -- 3.2 Particle Motion for P Waves

3.3 Particle Motion for Elliptical and Linear S Waves -- 3.3.1 Type-I or Elliptical S (SI) Wave -- 3.3.2 Type-II or Linear S (SII) Wave -- 3.4 Energy Characteristics of P, SI, and SII Waves -- 3.4.1 Mean Energy Flux (Mean Intensity) -- 3.4.2 Mean Energy Densities -- 3.4.3 Energy Velocity -- 3.4.4 Mean Rate of Energy Dissipation -- 3.4.5 Reciprocal Quality Factor, -1 Q -- 3.5 Viscoelasticity Characterized by Parameters for Homogeneous P and S Waves -- 3.6 Characteristics of Inhomogeneous Waves in Terms of Characteristics of Homogeneous Waves -- 3.6.1 Wave Speed and Maximum Attenuation

3.6.2 Particle Motion f…

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