COURSE UNIT TITLE

: GENERALIZED INVERSION METHODS IN GEOPHYSICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
GPE 5039 GENERALIZED INVERSION METHODS IN GEOPHYSICS ELECTIVE 2 0 0 5

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

Offered to

Geophysical Engineering
GEOPHYSICAL ENGINEERING

Course Objective

The purpose of geophysics inverse theory, basic matrix operations, computer solution of systems of linear equations, eigenvalue-eigenvector definitions, least squares
solution, inversion methods (linear and nonlinear), statistical tests and resolution in inverse solution and inversion applications in geophysics will give in this course.

Learning Outcomes of the Course Unit

1   The ability to understand the purpose of geophysical inverse theory,
2   The ability to perform basic matrix operations and the solution of systems of
3   The ability to understand the definitions of eigenvalues and eigenvectors,
4   The ability to perform inverse operations and statistical tests
5   The ability to evaluate the inversion of geophysical data,

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Data Classification in geophysics and definitions
2 Purpose of inversion methods in geophysics
3 Basic matrix operations (Matrix multiplication, matrix inversion and computer applications)
4 Solution of linear systems of equations with computers (Gauss Elimination, Gauss-Jordan, Cholesky decomposition methods)
5 Solution of linear systems of equations with computers (Gauss Elimination, Gauss-Jordan, Cholesky decomposition methods) (Cont.)
6 Eigenvalue-eigenvector definitions. Singular Value Decomposition (SVD) and Solution of Equation with SVD
7 Eigenvalue-eigenvector definitions. Singular Value Decomposition (SVD) and Solution of Equation with SVD (Cont.)
8 Mid-Term Exam
9 Least Squares Solution (L1, L2, L norm definitions and Benchmarks)
10 Damped Least Squares Solution
11 Linearization and linearized inversion, Generalized inversion
12 Statistical concepts in inversion (Standard deviation, variance, covariance)
13 Examples on geophysical data inversion and applications
14 Examples on Geophysical data inversion and applications (Cont.)

Recomended or Required Reading

Textbook(s):
1- Sven-Erik HJELT, Pragmatic Inversion of Geophysical Data, Springer-Verlag, 1992.
2- V. DIMRI, Deconvolution and Inverse Theory, Elsevier Sci. Pub., 1992.
3- W. Menke, Geopyhsical Data Analysis, Academic Press, 1984.
4- R.L. Parker, Geophysical Inverse Theory, Princeton Univ. Press, 1994.

Supplementary Book(s):
References: Articles related with the course content

Planned Learning Activities and Teaching Methods

The course shall be given as lecture, class presentations and discussion format. All class members are expected to attend both the lecture and seminar hours and take part
in the discussion sessions. Besides taught lecture, group presentations are to be prepared by the groups assigned for that week and presented to open a discussion
session.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Homework Assignments: 25 % LO-2, LO-3, LO-4, LO-5
Mid-term Exam: 25 % LO-1, LO-2, LO-3
Final Exam: 50 % LO-1, LO-2, LO-3, LO-4, LO-5

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof.Dr.Coşkun SARI
Dokuz Eylul University
Engineering Faculty
Department of Geophysical Engineering
Tınaztepe Campus
35160 Buca-Izmir
E-mail: coskun.sari@deu.edu.tr

Office Hours

Monday 13.30-15.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Tutorials 0 0 0
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 8 8
Preparation for final exam 1 8 8
Preparation for quiz etc. 0 0 0
Preparing assignments 4 8 32
Final 1 2 2
Midterm 1 2 2
Quiz etc. 0 0 0
TOTAL WORKLOAD (hours) 117

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.154321
LO.254321
LO.354123
LO.445123
LO.554123

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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