# Seismic Wave Propagation

10 credits

Syllabus, Master's level, 1GE014

Code
1GE014
Education cycle
Second cycle
Main field(s) of study and in-depth level
Earth Science A1N, Physics A1N
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 30 August 2018
Responsible department
Department of Earth Sciences

## Entry requirements

120 credits including 80 credits in physics and mathematics.

## Learning outcomes

On completion of the course, the student should be able to:

• Derive the scalar wave equation from first principles
• Describe surface waves and converted phases, and how these may elucidate Earth structure
• Transform equations from the time-space domain to the frequency-wavenumber domain
• Recite Snell's law and apply it to solving ray tracing problems
• Discretize partial differential equations to, in the limit, equivalent finite difference equations
• Derive the eikonal equation and describe how it is used in travel time tomography
• Apply Green's functions in seismic applications
• Give an account of the basic principles of reflection seismic data acquisition and processing
• Apply simple processing steps to seismic data using the freely available Seismic Unix software package.
• Produce a two-dimensional stacked seismic section from raw source gathers using shell scripts
• Change computer code in the Seismic Unix package
• Explain the concept of Kirchhoff migration and code an algorithm in the C language in order to apply two-dimensional Kirchhoff migration to a stacked seismic section
• Explain the significance of the amplitudes of seismic waves and how they are attenuated and scattered in the Earth
• Apply the basic techniques for analysis of receiver functions and for seismic tomography

## Content

Fourier analysis, equations of motion, acoustic wave equation, elastic wave equation, ray theory, kinematic and dynamic ray tracing, receiver functions, seismic tomography, basic reflection seismic acquisition and processing, Kirchhoff migration, downward continuation, plane wave decomposition, finite difference methods

## Instruction

Lectures, homework, problem solving and computer exercises.

## Assessment

Written examamination (8 ECTS) and compulsory parts (2 ECTS).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.