Seismology: Body Waves and Sources

Seismology: Body Waves and Sources

1st Edition - January 28, 1972

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  • Editor: Bruce Bolt
  • eBook ISBN: 9780323152013

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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.

Table of Contents

  • Contributors


    Numerical Methods of Ray Generation in Multilayered Media

    I. Introduction

    II. Notation and Identification of Phases

    III. Groups of Kinematic and Dynamic Analogs

    IV. Flow Charts of Subroutines

    V. Numerical Examples

    Appendix A. Number of Arrangements of n2 Identical Balls into n1 Pockets, Some of Which Can Be Empty

    Appendix B. Number of Arrangements of n2 Identical Balls into n1 Pockets, None of Which Can Be Empty


    Computer Generated Seismograms

    I. Introduction

    II. Methods of Solution

    III. Computed Seismograms and Their Analysis

    Appendix: Equations for the Layered Sphere


    Diffracted Seismic Signals and Their Numerical Solution

    I. Introduction

    II. Outline of Basic Theory

    III. The Reflection Coefficient

    IV. The Asymptotic Behavior of the Wave Solutions

    V. Numerical Solution of the Wave Equation

    VI. The Response Integral

    VII. Numerical Results


    Inversion and Inference for Teleseismic Ray Data

    I. Introduction

    II. Theory

    III. Data

    IV. Numerical Methods

    V. Results


    Multipolar Analysis of the Mechanisms of Deep-Focus Earthquakes

    I. Introduction

    II. Integral Theory for Seismic Sources

    III. The Measurement of Displacement Impulse

    IV. Estimation of Multipolar Coefficients

    V. Multipolar Analysis in Practice


    Computation of Models of Elastic Dislocations in the Earth

    I. Introduction

    II. Mathematical Theory of Seismic Fields

    III. Calculation of Body-Wave Amplitudes

    IV. Calculation of Amplitudes and Phases of Surface Waves

    V. Calculation of Terrestrial Line-Spectra

    VI. List of Symbols


    Author Index

    Subject Index

    Contents Of Previous Volumes

Product details

  • No. of pages: 402
  • Language: English
  • Copyright: © Academic Press 1972
  • Published: January 28, 1972
  • Imprint: Academic Press
  • eBook ISBN: 9780323152013

About the Editor

Bruce Bolt

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