Theoretical Seismology (Geophysics 523)

2008 Class Web Page

Richard Aster
Geophysics Program
Department of Earth and Environmental Science
Socorro, New Mexico

aster@ees.nmt.edu

(575) 835-5924


Learning Objectives

Fundamental concepts: Theoretical understanding of elasticity, elastic waves, and seismic sources.

Skills and Capabilities: Detailed understanding of linear stress-strain theory. Ability to model body and surface waves in plane media, including evanescent waves. Understanding of seismic ray theory in plane and spherical geometries. Ability to characterize and interpret seismic moment tensors.

Specific Topics: Continuum mechanics of linear elastic media, including stress, strain and traction. Derivation of linear elastic waves and their characteristics from the equation of motion. Determination of reflection and transmission properties of seismic waves obtained by the matching of traction, and displacement boundary conditions. Ray tracing in layered and spherically symmetric media. Theory of Love and Rayleigh surface waves. Characterization of seismic sources and their radiation characteristics, essentials of synthetic seismograms.


Spring 2008 Syllabus (pdf)


Review Materials

A MATLAB Primer (pdf)

A Basic Math Overview (pdf) (See also the Mathematical and Computational Appendix in Stein and Wysession)

An Index Notation Primer (pdf)

A Table of Elastic Moduli Conversions (pdf)


Rick Aster's Notes (compiled from original material and past professors' notes; also influenced by preprint versions of Stein and Wysession).

Stress, Strain, and Elasticity (2008; pdf)

The Seismic Wave Equation (2008; pdf)

Plane Waves in Layered Media (2008; pdf)

Surface Waves (2008; pdf)

Ray Theory (2008; pdf)

Source Theory and Synthetic Seismograms (2006; pdf)


Required Textbook

An Introduction to Seismology, Earthquakes, and Earth Structure, by Seth Stein and Michael Wysession, Blackwell Publishing, 2003.


Strongly Recommended Textbooks

Quantitative Seismology, by Kei Aki and Paul Richards. Second Edition, University Science Books, 2002.

Introduction to Seismology, by Peter Shearer Cambridge University Press, 1999 ( Peter Shearer's errata list).


Interesting Links

Zoeppritz Explorer and Anisotropic Zoeppritz Explorer by the Consortium for Research in Elastic Wave Exploration Seismology at the Unversity of Calgary.

Seismology Java Applets from the Geophysics Department at TU Clausthal.


Exercises

Matlab and Mathematical Primer Exercise

Exercise (due 2/11/08)

Exercise (due 2/27/08)

Exercise (due 3/19/08)

Exercise (due 4/2/08)

Exercise (due 4/28/08)

Exercise (due 5/14/08)


Examples of Recent Student Final Presentations

Kent Anderson Seismic Noise Trapping in Firn

Rafael Alvarado, Oceanic Microseisms

Sara McNamara, Non-Double Couple Seismic Sources and Theory

Mario Ruiz, Analysis of Particle Motion Recorded by Three Component Seismic Stations

Todd, White, Construction of Synthetic Seismograms for a P-SV System using the Wave Propagator Method

Wenzheng Yang, A Basic Study on Two-Point Seismic Ray Tracing


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