GRADING: Problems 50%, Exams 50%
SyllabusTraveltimes (1/8, 1/10, 1/15, 1/17)
Traveltime equation in 1D media
Wavelengths and wavenumbers, dispersion relation, Eikonal equation
Seismic acquisition (1/17, 1/21)
Reflectivity, convolution model of the vertical incidence trace and multiples
Geometry: CMPs and stacking charts
Bits and bytes
Amplitude decay and scaling: spherical divervgence, Q, linear gains and AGC
Stacking data: NMO, Semblance, stacking and RMS velocities, Dix equation
Fourier analysis (1/24, 1/28, 2/5, 2/7, 2/12)
Fourier Transform to Discrete Fourier Transform
Sampling and Filtering: sinc function, delay concepts and stability of digital filters
Thin beds and spectra: an example
Space and time: Spatial aliasing, 2D FFTs, the response of arrays, velocity filtering
Feb 5: Problem set 1 (due Feb 12th):
Calculation of traveltime curves
FermatŐs principle
tau-p parameterization and tau-sum
Feb 12 Problem set 2 (due Feb 26th):
Velocity spectra
Gains
Convolution
Fourier transforms, spectra and filtering
Deconvolution (2/14, 2/19, 2/21, 2/25)
A quick review of inverse theory, Classic spiking decon, Predictive decon and deghosting
MID-TERM EXAM FEB. 28
Wave propagation (3/12, 3/14, 3/18, 3/21)
Stress, strain, tensor notation and anisotropic symetries
The wave equation for heterogeneous, anelastic media; derivation
Different wave equations: Elastic, accoustic, scalar
Potentials, the scalar wave equation, plane-wave solution
The amplitudes at an interface: Zoepritz equations and SnellŐs law
LambŐs problem (Sommerfeld and Wyle: very basic description -maybe)
Forward calculations: propagator matrix
Attenuation: complex velocities
Mar 14: Problem set 3 (due Mar 28th):
Simple analytical problems
Migration (3/26, 3/28, 4/2)
Kirchoff, Split-step, Stolt, Pre-stack migration
Intrepretation (4/4, 4/9, 4/11, 4/16)
Overview of sequence stratigraphy
Sealevel curves: onlap, offlap, toplab, downlap
Seismic facies, 3D Cubes and slices, Examples
April 9: Problem set 4 (due April 23rd):
Sequence stratigraphy
Inversion (4/18, 4/23, 4/25)
Review of generalized inverse
SVD of reflectiontraveltimes
The hard truth of resolution: A simple VSP example
Back-projection tomography
Concepts of waveform inversion
Intrepretation (4/16, 4/18, 4/23, 4/25)
Overview of sequence stratigraphy
SVD of reflectiontraveltimes
The hard truth of resolution: A simple VSP example
Back-projection tomography
Concepts of waveform inversion
FINAL EXAM: TUESDAY, 4/30, 2:50PM