Course - Mathematical Geophysics - PG8106
Mathematical Geophysics
About
About the course
Course content
The course introduces the student to mathematical aspects of wave theory as used in geophysics. Focus is on seismic forward models and inversion. Theory for seismic modelling of wave propagation in horizontally layered media is developed in detail. It is shown that several seismic data processing methods like deterministic multiple removal and de-ghosting can be deduced from the modelling theory. Green's functions for the wave and Helmholz equation are given. The reciprocity theorems for acoustic and elastic media are developed. Several seismic data processing schemes which follow by using the principle of reciprocity will be outlined. Finally, wavefield decomposition of multicomponent elastic data into pressure and shear wave components is derived.
Learning outcome
The student should learn the selected mathematical aspects of geophysical wave theory with the focus on the solution of some specific fundamental problems.
Learning methods and activities
Lectures and exercises.
Recommended previous knowledge
MSc degree in Applied Geophysics or approval by lecturer.
Course materials
Selected chapters from "Introduction to Petroleum Seismology" by Luc T Ikelle and Lasse Amundsen, published by Society of Exploration Geophysicists 2005 (ISBN 1-56080-129-8). Lecture notes.
Subject areas
- Applied Geophysics
- Technological subjects