MATH 6790: Case Studies for Seismic Imaging

(Left) Seismic zero-offset data and (right) after migration
image of anticlinal portion of seismic data.
### MATH 6790: Case Studies for Seismic Imaging
(http://utam.gg.utah.edu/ebooks/CASE.STUDIES/)

#### Objective: Learn the mathematics and methods for for imaging seismic data.

#### Instructor: Jerry Schuster (schuster@mines.utah.edu; 460 INSCC)

#### Grading: Homework 33%, Project 33%, Final 33%

#### Class Hours: T Th 2:00:-3:20 208 JWB ; Labs in 7th floor computer classroom Browning Bldg.

####

- Feb. 12-14

Acoustic wave equation, reflection coefficients, forward modeling by Green's
theorem: **d=Lm **, where **d**, **m**,
and **L** represent the data, reflectivity model, and forward modeling operator, respectively.
- Feb. 19-21

Forward modeling the wave equation by Green's theorm.
- Feb. 26-28

Backward modeling the wave equation. Approximating the reflectivity by the migration
equation **m=L**^{T} d , where the adjoint operator ^{T}
is computed by a surface integral.
- March 4-6

Finite difference solution to the wave equation. Reverse time migration.
equation **m=L**^{T} d .
Reverse time mirrors.
- March 11-13

Steepest descent method, preconditioning, least squares migration.