Geos 567 | Inverse Methods in Geophysics
Fall 200
Randall M. Richardson
| Office: |
Gould-Simpson Room 525 |
| E-mail: |
rmr@u.arizona.edu |
| Phone: |
621-4950 |
| Office Hours: |
Monday & Wednesday 11:00-12:00 Noon |
| Text: |
Inverse Problems in Geophysics: A Set
of Lecture Notes, by Randall M. Richardson and George
Zandt (download below) |
This is a one-semester course on the fundamentals on inverse theory.
Inverse theory can be loosely defined as the art of inferring as much
as possible about a problem using everything that is known about the
data and the relationship between the model and the data as expressed
by some mathematical forward problem. Emphasis will be on the discrete
linear problem, but both nonlinear and continuous inverse problems will
be covered.
This course involves substantial homework, a term project, and the
expectation of active class participation. The grading is based on the
following: 60% Homework, 30% Term Project, and 10% Class Participation.
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Homework Sets
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Course Outline and Class Notes
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Download the class notes here (pdf format):
| Chapter |
Title |
Pages and Size |
| Preface |
Table of Contents |
pages i-vi, 127k |
| Chapter 1 |
Introduction |
pages 1-11, 160k |
| Chapter 2 |
Review of Linear Algebra and Statistics |
pages 12-31, 263K |
| Chapter 3 |
Inverse Methods Based on Length |
pages 32-71, 319k |
| Chapter 4 |
Linearization of Nonlinear Problems |
pages 72-90, 228k |
| Chapter 5 |
The Eigenvalue Problem |
pages 91-124, 266k |
| Chapter 6 |
Singular-Value Decomposition (SVD) |
pages 125-151, 230k |
| Chapter 7 |
The Generalized Inverse and Measures of Quality |
pages 125-192, 440k |
| Chapter 8 |
Variations of the Generalized Inverse |
pages 193-237, 518k |
| Chapter 9 |
Continuous Inverse Theory and Other Approaches |
pages 238-264, 290k |
| All Chapters |
Complete set of notes as a single file |
pages i-vi & 1-264, 2.8MB |
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