| Date |
Topic(s) |
| 01/08 |
Overview of course goals, texts, readings, & assignments (PDF Reading List) |
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Approximate Teleseismic Body-Wave Seismogram Computation |
| 01/10 |
Introduction and Motivation • Potentials • Plane Waves • Slowness • Wavenumber |
| 01/15 |
Dislocation Angles • Cylindrical Coordinates • Seismic Source Potentials • Bessel Functions • Fundamental Faults |
| 01/17 |
Vertical Radiation Patterns • Potential Reflection Coefficients • Mode-Conversion Factors • Relative Travel-Time Delays • Geometrical Spreading |
| 01/22 |
Attenuation • Q • T-Star • Causality • A Body-Wave Attenuation Filter • Free-surface Receiver Functions • Simple Source-Time-Function Approximations • Examples • Limitations Of This Approach |
| HW |
Write a program or MATLAB scripts to compute a teleseismic P or SH response |
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Receiver Functions in Plane-Layered, Isotropic Structures (PDF Reading List) |
| 01/24 |
Introduction and Motivation • Plane Waves and the Equations of Motion • Boundary Conditions • Potentials, Displacement and Stresses • Boundary Conditions • The Layer Matrix • Specific Solutions - Rayleigh-Wave Phase Velocity • P and S-wave Responses • An OBS Problem • Limitations |
| 01/29 |
Deconvolution • Stabilizing instrument deconvolution with a frequency-domain taper • water-level deconvolution & spectral notches • Wiener filtering • Time-Domain inversion of the convolution equations • Iterative deconvolution and pulse stripping |
| HW |
Develop a MATLAB script to compute receiver functions for a stack of homogenous, isotropic layers |
| 01/31 |
No Class - Ammon out of Town |
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Kennett's Reflection-Matrix Method for Computing Seismograms |
| 02/05 |
Introduction • Plane Waves • Earth Flattening Transformations |
| 02/07 |
Accounting for attenuation of seismic waves using complex seismic velocities |
| 02/12 |
No Class - Ammon out of Town |
| 02/14 |
No Class - Ammon out of Town |
| 02/19 |
Coupled Differential Equations for Seismic Displacements & Stresses |
| 02/21 |
Differential Equation Tools: Wronskians, and Propagation Invariants,
Fundamental Matrices |
| 02/26 |
Propagator Matrices |
| 02/28 |
Stress Displacement Fields using Eigenvector Decomposition • Vertical Slownesses • Expressions for Matrix Inverses using Propgation Invariants |
| 03/05 |
No Class - Spring Break |
| 03/07 |
No Class - Spring Break |
| 03/12 |
Energy Flux Normalization • Inverting the transforms (putting the solution back together) • Vector Wave Functions |
| HW |
Develop a water-level deconvolution tool in MATLAB, compute radial and transverse receiver functions from north and east component seismograms and average the resulting traces to produce an "optimal' receiver-function estimate (with uncertainties). |
| 03/14 |
Seismic Sources & the Representation Theorem |
| 03/19 |
The Representation Theorem, Directed Forces, and Moment-Tensors |
| 03/21 |
Shear-faulting sources and the zeroeth-order moment tensor |
| 03/26 |
Seismic wave functions and seismic sources - expanding seismic source representations in terms of cylindrical wavefunctions - a point force and a double couple. • Point sources in terms of wave vector discontinuities |
| 03/28 |
Reflection & Transmission: from an interface • from a stack of layers bounded by two half-spaces |
| 04/02 |
More Reflection & Transmission • Addition rules and algorithms • reflection from a stack bounded by the free surface • Interpreting the response expressions |
| 04/04 |
Building the response • building the complete integration kernel • near-field terms (on the vertical too!) • Spectral Methods - inverting the transform |
| HW |
Derive the addition rules • Compute Free-surface reflection coefficients using MATLAB |
| 04/09 |
The transformed disaplacement, exploring simple cases • source beneath the layers • a half space (receiver functions ) • a layer over a half-space • numerical examples using MATLAB |
| 04/11 |
More examples and approximation of the seismic response for special cases of interest. |
| 04/16 |
More Examples of the integration kernel using MATLAB |
| 04/18 |
Approximating the response (teleseismic body waves) • An introduction to slowness methods |
| 04/23 |
No Class - Ammon out of town |
| 04/25 |
Anisotropy (An Overview) (PDF Reading List) |
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