COURSE UNIT TITLE

: INTRODUCTION OF INVERSION METHODS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
JEF 4706 INTRODUCTION OF INVERSION METHODS COMPULSORY 2 1 0 4

Offered By

Geophysical Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR GÖKHAN GÖKTÜRKLER

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 I
9 Solution of linear systems of equations II
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


Further Notes About Assessment Methods

None

Assessment Criteria

Mid-term Exam: % 30 LO 1-2-3-4
Homework Assignments: % 20 LO 4-5
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/ Türkiye
e-mail: senol.ozyalin@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 14 3 42
Preparation for midterm exam 1 15 15
Preparation for final exam 1 15 15
Preparing assignments 2 15 30
Midterm 1 1,5 2
Final 1 1,5 2
TOTAL WORKLOAD (hours) 106

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.145
LO.245
LO.345
LO.4454
LO.5454
LO.645
LO.745
LO.845

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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