COURSE UNIT TITLE

: INTRODUCTION OF INVERSION METHODS

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Geophysical Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR COŞKUN SARI

Offered to

Geophysical Engineering

Course Objective

Determination of the physical / geometrical parameters of a geophysical anomaly caused by an underground structure with the matrix and optimization techniques, Examination of the parameter resolution

Learning Outcomes of the Course Unit

1   Ability to understand the purpose of modeling techniques in geophysics,
2   Ability to describe data as a stochastic and deterministic,
3   Ability to understand the theory of forward and inverse solution method,
4   Ability to analyze Linear and Nonlinear Inversion technique,
5   Ability to apply the solution of linear inverse techniques,
6   Linearization and ability to apply the solution of non-linear inverse techniques,
7   Ability to apply singular value decomposition (SVD), the least squares and the steepest descent methods,
8   Ability to analyze the data and the parameter resolution on the contribution of the inversion

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The purpose of modeling technique in geophysics and its theory
2 Classification of the geophysical data as a deterministic and a stochastic
3 Forward solution with the deterministic and the stochastic approach
4 Theory of the forward and the inverse solution
5 Linear and nonlinear problems in geophysics
6 Data-Parameter relationship and systems of equations
7 The solution of overdetermined systems with the least squares method
8 Solution of linear systems of equations
9 Mid-Term Exam
10 Linearization and Solution of Nonlinear Problems
11 Damped Least Squares Method, Marquardt-Levenberg Solution
12 Ridge regression and steepest descent method
13 Singular value problem of the inverse solution, singular value decomposition method and the solution of Marquardt-Levenberg technique with singular value decomposition (SVD) method
14 Data and parameter resolution in inverse solution, Evaluation of Covariance matrices

Recomended or Required Reading

Textbook(s): Jeofizikte Modelleme, Ed. Prof.Dr.Nezihi CANITEZ, Literatür Yayıncılık, Dağıtım, Pazarlama San. Ve Tic. Ltd.Şti., 1997.
Supplementary Book(s):
1- Doğrusal ve Doğrusal Olmayan Problemlerin Ters Çözümü, Prof.Dr.Ahmet T. BAŞOKUR, TMMOB Jeofizik Mühendisleri Odası, Eğitim Yayınları No:4.
2- Teori ve Örneklerle Jeofizikte Modelleme, Doç.Dr.Bülent ORUÇ, Kocaeli Üniversitesi Yayınları, Yayın No:227, 2006.
References: Published papers about geophysical inversion techniques in the scientific journals.

Planned Learning Activities and Teaching Methods

Lectures, Homework assignments, Exams

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

Mid-term Exam % 30 LO 1-2-3-4
Homework Assignments % 20 LO 1-2-3-4-5-6-7-8
Final Exam % 50 LO 1-2-3-4-5-6-7-8

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Dokuz Eylul University, Engineering Faculty, Department of Geophysics, Tinaztepe Campus 35610 Buca-Izmir/ Turkey
e-mail: coskun.sari@deu.edu.tr

Office Hours

Tuesday-Thursday 10.00-12.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparation for midterm exam 1 10 10
Preparation for final exam 1 10 10
Preparing assignments 3 12 36
Midterm 1 1,5 2
Final 1 1,5 2
TOTAL WORKLOAD (hours) 99

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1554
LO.2544
LO.3444
LO.4444
LO.5444
LO.6444
LO.7444
LO.8444