Seismology: Surface Waves and Earth Oscillations

Methods in Computational Physics, Volume 11: Seismology: Surface Waves and Earth Oscillations is a five-chapter text that deals with the computational analysis of surface waves and the eigenvibrations of the Earth.
Chapter 1 describes the advances in the numerical modeling of geological structures where the appropriate partial differential equations with boundary conditions for heterogeneous materials are solved using an intricate finite difference scheme. Chapter 2 presents the computer techniques of processing seismograms to obtain information on the dispersion of seismic surface waves, while Chapter 3 explains the fast algorithms for computation of eigenvalues in surface wave and terrestrial eigenvibration problems. Chapter 4 presents a competing method, much used in structural engineering and soil mechanics. Chapter 5 is devoted to the propagation of surface waves in layered media, which indicate that density and elasticity vary only in the vertical direction. This chapter also provides the fundamentals and numerical aspects of the theory of seismic surface waves.
This book is an invaluable source for seismologists, earthquake engineers, and graduate students.

Contributors

Preface

Finite Difference Methods for Seismic Wave Propagation in Heterogeneous Materials

I. Introduction

II. Method

III. Extensions of the Method

IV. Numerical Experiments and Examples

References

Numerical Analysis of Dispersed Seismic Waves

I. Introduction

II. Some Aspects of the Numerical Processing of Seismic Data

III. Dispersion Measurements in the Frequency Domain

IV. Time Domain and Time-Frequency Plane Analysis of Dispersion

V. Application of the Dispersed Wave Techniques in the Studies of Free Oscillations of the Earth

VI. Concluding Remarks

References

Fast Surface Wave and Free Mode Computations

I. Introduction

II. Surface Waves

III. Free Modes

References

A Finite Element Method for Seismology

I. Introduction

II. The Finite Element Method

III. Generalized Love Waves

IV. Generalized Rayleigh Waves

V. Nonhorizontally Layered Structures

VI. Summary and Conclusions

References

Seismic Surface Waves

I. Introduction

II. Equations of Motion

III. Variational Equations and Their Application to the Theory of Surface Waves

IV. Excitation of Surface Waves and Free Oscillations

References

Author Index

Subject Index

Contents Of Previous Volumes