Inversion Theory
| Title | Θεωρία Αντιστροφής / Inversion Theory |
| Code | ΕGSM104 |
| Faculty | Sciences |
| School | Geology |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Konstantinos Papazachos |
| Common | No |
| Status | Active |
| Course ID | 600026417 |
Programme of Study: PMS Efarmosménī kai Perivallontikī Geōlogía kai Geōkíndynoi
Registered students: 7
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Efarmosménī Geōfysikī kai Seismología | Compulsory Course | 1 | 1 | 4 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600272312
|
Course Type 2021
Specific Foundation
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600272312
Erasmus
The course is also offered to exchange programme students.
Learning Outcomes
The purpose of the course is to acquaint postgraduate students with the theory of inversion and its application to Geophysical problems. Emphasis is placed on the basic principles of inversion methods, examples of their application in Geophysics, as well as the implementation of inversion methods with appropriate code in the Matlab programming language.
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Work autonomously
- Work in an interdisciplinary team
- Generate new research ideas
Course Content (Syllabus)
The individual topics discussed are the following: 1) Introduction to the General Principles of Inversion theory (Direct and inverse problem, model parameterization, etc.). 2) Nonlinear and linear/linearized inverse problems. Examples from Geophysics. 3) Solving linear problems with the theory of Least Squares. 4) Solution evaluation measures (Covariance tables, Resolution matrix, Resolving length). 5) Eigenvalue analysis and connection to the least squares solution. 6) Least squares with normalization: a) Least squares with damping, b) Least squares with smoothing factors. 7) Solution of selected problems using MATLAB.
Educational Material Types
- Slide presentations
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Laboratory Teaching
- Use of ICT in Communication with Students
- Use of ICT in Student Assessment
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 40 | ✓ | |||
| Laboratory Work | 20 | ✓ | |||
| Reading Assigment | 35 | ✓ | |||
| Exams | 5 | ✓ | |||
| Total | 100 |
Student Assessment
Description
Daily assignments with computer code, final exam using personal computers
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Additional bibliography for study
Kreyszig, E., Stroud, K., & Stephenson, G. (2008). Advanced engineering mathematics. Integration, 9(4).
Last Update
28-02-2025
