ErSE 360- Mathematical methods for Seismic Imaging, during Spring
Instructor: Tariq Alkhalifah, Ph.D.-Professor, Building: 1 Room 3308 tariq.alkhalifah@kaust.edu.sa
TA: Christos Tzivanakis – Seismic Processor, Room 3309 christos.tzivanakis@kaust.edu.sa
Lecture: Tuesday 9:00-11:50AM
Office hours: Tuesday 3:00-4:00PM
Prerequisite: ErSE260 or equivalent
Overview - This course will be devoted to mathematical algorithms and methods for seismic imaging. We will learn how to extrapolate wavefields efficiently and accurately. This includes looking at finite-difference, spectral, pseudo-spectral methods among other methods. We will look into the stable and accurate implementation of the imaging condition and its variations for velocity analysis. We will also look at numerical methods for inverting for the velocity model using seismic imaging.
Year 2018:
Week 1: The basic components of seismic imaging Week 2: Wavefields and the wave equation (a hyperbolic PDE)
Week 3: Solving the wave equation: Green's functions
Week 4: High frequency asymptotes Week 5: Numerical solutions of the eikonal equation Week 6: Ray tracing (dynamic) Week 7: Finite-frequency traveltimes Week 8: Integral and beam methods
Week 9: break Week 10: Fourier methods and sampling theory Week 11: Wavefield extrapolation (space/time)
Week 12: Spectral Methods
Week 13: Up and down going waves, the imaging condition extended
Week 14: Velocities and multiples and inverse scattering
Week 15: Final exam, Project submission.