>
Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Modelling In Geophysics JFZ409 Elective Bachelor's degree 4 Fall 4

Name of Lecturer(s)

Prof. Dr. Bülent ORUÇ

Learning Outcomes of the Course Unit

1) Developing the subsurface complex geological features in the form of geophysical models (Idealization).
2) Defining the concept of the forward solution in geophysical modelling.
3) Applying the forward solution in gravity, magnetic, electrical, electromagnetic and seismic reflection methods.
4) Defining the concept of the linear and nonlinear inverse solution and properties of the system and jacobian matrix in geophysical modelling. Analyzing well-and ill conditioned problems.
5) Calculating the physical parameters in linear inverse solution with least squares method.
6) Calculating the geometrical parameters in nonlinear inverse solution with least squares method.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9
Learning Outcomes
1 Low Middle Low High Middle Middle Low Low Middle
2 Low High Middle High Middle Middle Low High Middle
3 Middle Low Middle Low Low Middle High Middle Middle
4 Low High Middle High High Middle Middle High High
5 High Middle High Middle Low High Middle High High
6 Middle Low High High Middle Middle High Middle Middle

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

No

Course Contents

This course covers; the concept of geophysical modelling, parameterization principles, the definition of forward and inverse problem, linear and nonlinear inverse solution with the least squares method, the structure of system matrix and jacobian and the estimation of ğarameters for well- and ill conditioned problems.

Weekly Schedule

1) Definition of modeling in geophysics, principles of idealization in complex shaped structures, definition of model and data environments
2) Jeofizik modellemede düz çözümün tanımı, düz çözüm işleyişi akış şeması
3) Gravity and magnetic forward solution of polygonal structures and Matlab applications
4) Electrical resistivity forward solution of horizontally layered media and Matlab applications
5) Definition of inversion in geophysical modeling, concepts of linear and nonlinear inversion
6) Mid term
7) Parameter estimation in linear inversion, discretization of the Fredholm integral of the first kind
8) Mid term
9) Linearization of nonlinear problems, parameter estimation in nonlinear inversion
10) Nonlinear inversion by unrestricted least squares method, structure of sensitivity (Jacobian) matrix
11) Iterative application of nonlinear inversion, criteria for stopping iterations, applications to gravity, magnetics and resistivity
12) Iterative application of nonlinear inversion, criteria for stopping iterations and practices
13) Singular Value Decomposition
14) Parameter and data resolution, determination of stability of parameter estimates
15) Parameter estimation in ill-conditioned systems using weighted and damped least squares methods
16) Final exam

Recommended or Required Reading

1- Oruç, B. 2012. Teori ve Örneklerle Jeofizikte Modelleme. Umuttepe Yayınları, Kitap, 376 s., ISBN 978-605-5936-64-8.
2- Başokur, A. 2002. Doğrusal ve Doğrusal Olmayan Problemlerin Ters Çözümü, TMMOB Jeofizik Mühendisleri Odası, Ankara.
3- Menke, W., 1984. Geophysical Data Analysis. Discrete Inverse Theory. Academic Press.
4- Meju, M.A.,1994. Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice. Society of Exploration Geophysicists.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Group Study
6) Lab / Workshop
7) Problem Solving
8) Project Based Learning


Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

40%

 

Number

Percentage

Semester Studies

Midterm Examination

1

60%

Short Exam / Quiz

1

40%

 

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required