Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
NUMERICAL MODELING IN GEOPHYSICAL METHODS 801100805290 3 + 0 3.0 10.0

Prerequisites None

Language of Instruction Turkish
Course Level Graduate Degree
Course Type Compulsory
Mode of delivery Lecturing, exercises solution, interactive learning with software in the computer lab. and homework.
Course Coordinator
Instructors Nurettin Yıldırım GÜNDOĞDU
Assistants
Goals Modeling equations used in geophysical methods can be classify. Elliptic, Parabolic and Hyperbolic type partial differantial equations can be defined. These partial differantial equations can be solved by using Finite difference and finite element numerical solution techniques.Student can be create Linear equation systems and t can be solved with direct and iterative methods. Geophysical forward modeling algorithm can be deveoped.
Course Content Classification of the general model functions used in Geophysical methods. Definition of elliptic, parabolic and hyperbolic type partial differential equations. Solution of these differential equations by using finite difference and finite element numerical solution techniques. Derivation of linear matrix equations obtained from numerical solution techniques and solution of these matrix equations. Iterative or linear solution techniques. Developing modeling algorithm for different geophysical methods by using numerical solution techniques.
Learning Outcomes 1) To categorize general model equations that are used in geophysical methods
2) To definitions elliptic, hyperbolic and parabolic system of equations
3) To solve differantiel equations by using FD and FE numerical solution techniques
4) Can be obtain linear equation systems and can be solve by using various methdos.
5) Can be use Direct and iterative method and Krylov subspace methods
6) Can be solve geophysical modeling equations by using FD and FE techniques

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Numerical Method, Mathematical Model and Geophysical Modeling Lecture; Problem Solving; Case Study
Opinion Pool; Colloquium
Project Based Learning; Problem Based Learning
Homework
2. Week Trancation error, rounding error, Taylor Series and computers number system Lecture; Question Answer; Problem Solving
Six Hats Thinking; Opinion Pool
Problem Based Learning
Homework
3. Week Numerical derivative and high degree derivative operators. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Colloquium
Problem Based Learning
Homework
4. Week Numerical integral, Trapez, Simpson rules, Gauss Elimination, Romberg Integral Lecture; Question Answer; Problem Solving; Discussion
Opinion Pool
Problem Based Learning
Homework
5. Week Interpolation, newton and lagrange interpolation methods,cubic interpolation method Lecture; Question Answer; Problem Solving; Discussion
Six Hats Thinking; Opinion Pool
Problem Based Learning
Homework Presentation (Including Preparation Time)
6. Week Classification of partial differential equations (PDE); elliptic parabolic and hyperbolic. PDEs in the geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Opinion Pool
Problem Based Learning
Homework Presentation (Including Preparation Time)
7. Week The finite difference solution of elliptic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving
Opinion Pool
Problem Based Learning
Homework Presentation (Including Preparation Time)
8. Week The finite difference solution of parabolic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Opinion Pool; Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
9. Week The finite difference solution of hyperbolic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Opinion Pool; Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
10. Week The finite element solution of eliptic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
11. Week The finite element solution of parabolic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
12. Week The finite element solution of hyperbolic differential equations and examples of geophysical methods. Lecture; Question Answer; Problem Solving; Discussion; Case Study
Opinion Pool; Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
13. Week 2D and 3D modelling in electric and electromagnetic methods Lecture; Question Answer; Problem Solving; Discussion; Case Study
Opinion Pool; Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)
14. Week 2D and 3D modelling in seismology, seismic and Potential Field Methods(Gravity and Magnetic) Lecture; Question Answer; Problem Solving; Discussion; Case Study
Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time)

Sources Used in This Course
Recommended Sources
Charpa, S. C. ve Canale, R. P. 2002, Mühendisler için sayısal yöntemler, (Çevirenler H. Heperkan ve U. Kesgin). Literatür Yayıncılık
Geophysics, Geophysical Prospecting, Geophysical Journal Int. gibi Periyodik Dergilerden güncel makaleler
Rao.L. 1982. The finite element method in engineering: Pergamon Press.
Sadiku, M.O.N., 1992. Numerical Techniques in Electromagnetic, CRC Press., London.
Zhdanov, M. S., and Keller, G. V., 1994, The geoelectrical methods in geophysical exploration; Elsevier, Amsterdam

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5DK6
PY14554544
PY25000050
PY75000005

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 4
Work Hour outside Classroom (Preparation, strengthening) 14 3
Homework 14 6
Presentation (Including Preparation Time) 2 6
Project (Including Preparation and presentation Time) 7 2
Report (Including Preparation and presentation Time) 7 4
Activity (Web Search, Library Work, Trip, Observation, Interview etc.) 7 1
Practice (Teaching Practice, Music/Musical Instrument Practice , Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice) 14 2
Midterm Exam 1 2
Time to prepare for Midterm Exam 1 10
Final Exam 1 2
Time to prepare for Final Exam 1 10
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information