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651-4110-00L 3 Credits MSC D-ITET , D-MAVT , D-PHYS , D-ERDW

Computational Methods in Seismic Data Analysis and Imaging

Lecturers & Examiners: PD Dr. Per Fredrik Andersson
Does not take place this semester.
VVZ CR n/a

Last Updated: 2026-06-01 11:32:53

Abstract

Mathematical methods play a fundamental role in seismic data analysis and imaging. The course covers mathematical tools regarding Fourier analysis, inverse problems, sparsity and low rank that are central themes in modern seismic data analysis and imaging. Implementation design and computational efficiency are aspects that are also covered.

Objective

The students are expected to learn to deal with Fourier analysis on unequally spaced data, frequency estimation methods, Radon transforms, rank constraints and splitting methods of complex problems into smaller sub-problems. The students are expected to be able to implement algorithms within the area on their own during the course. Another objective is to be able to adapt and apply these methods to seismic data.

Content

6 (2 hour) lectures followed by 2h lab, Computer laboratory exercises every week. Recap of linear algebra concepts. Duality, norms, eigenvalues and singular value decomposition The Radon transform The FFT and the unequally spaced FFT. Frequency estimation methods Data sparsity Low-rank methods The alternating direction method of multipliers Kirchhoff migration Reverse time migration The adjoint state method GPU programming model. CUDA kernels in C. Computer laboratory exercises covering * The Radon transform and the unequally spaced FFT. Using GPU in MATLAB or Python. * Frequency estimation, data sparsity and the alternating method of multipliers. * Seismic migration.

General Information

Language
English
Levels
MSC
Frequency
Every two years

Examination

Type
graded semester performance

Course Components

Type Title Time & Place Hours
lecture Computational Methods in Seismic Data Analysis and Imaging
Does not take place this semester.
No time listed 10 h semesterly
exercise Computational Methods in Seismic Data Analysis and Imaging - Exercises
Does not take place this semester.
No time listed 10 h semesterly

Offered In