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Preface

"Do not use more mathematics than the data deserve" paraphrase from Sven Treitel

This series of lectures notes is aimed at quickly introducing mathematicians to some aspects of exploration seismology. I tried to avoid algebraic complexity and presented only the key ideas. The HTML lectures and MPG movies associated with the lectures are online at http://utam.gg.utah.edu/stanford/stanford.html. A Netscape 4.0 or higher browser is recommended.

The first lecture, Basics of Seismic Experiments and Data Processing, provides a quick look at seismic experiments, data processing, and the final product, the seismic section. The central idea behind each processing step is explained with a minimal use of algebra. I have used many data processing examples to explain the processing steps, and MATLAB scripts are used to clarify any ambiguities in the procedures. The one processing step not described is Dip Moveout Processing, which is not necessary when prestack migration is used. It is my hope that the first lecture can provide sufficient background information so that the mathematician can appreciate the exploration context for the more sophisticated ideas presented by other lecturers. After the first formal lecture, we will conduct a seismic experiment outside the classroom and analyze the data.

The second lecture on Basics of Traveltime Tomography describes the theory behind inversion of traveltime data and presents some interesting examples. As before, the central ideas are presented but the mathematical details are kept to a minimum. Examples are given for both exploration and earthquake seismology.

The third lecture presents the Basics of Waveform Tomography. I present the theory, followed by a discussion on the benefits and pitfalls of waveform tomography. By no means is this a comprehensive treatment, but it can serve as the starting point for further exploration.

Jerry Schuster (schuster@mines.utah.edu)
Geology and Geophysics Department
University of Utah


next up previous contents
Next: Contents Up: Stanford Mathematical Geophysics Summer Previous: Stanford Mathematical Geophysics Summer
Gerard Schuster
1998-07-29