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| JFZ3023 | Inverse Methods in Geophysics | 2+1+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | | Lecturer | Dr. Öğr. Üyesi Özlem HACIOĞLU | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The student should obtain basic knowledge about inverse problems in geophysics |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | help the student to appraisal the general philosophy of the inverse theory | 1,2 | 1 | | LO - 2 : | help the student to understand and discuss various inverse problems and their solutions. | 1,2 | 1 | | LO - 3 : | appreciate how to solve geophysical data with inversion methods | 1,2 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Introduction of "Inverse Theory". Forward and Inverse problems. Inverse problems in Geophysics Overwiew of the linear algebra (matrix and vectoral).Norms of matrix and vectors. Eigenvalues, eigenvectors. Singular Value Decomposition (SVD). Model space and data space. Introduction MATLAB commands and their usages and also some plotting utilities. Survey of various inverse methods for geophysical problems.Linear and non linear problems. Least-squares technique, damped least-square technique, generalized inverse technique. Marquardt-Levenberg Technique. Quality of the estimated parameters by inversion techniques. Computer simulation of some geophysical inverse problem solutions. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction of the "Inverse Problem". | | | Week 2 | Overview for the fundementals of the forward problem and the modelling | | | Week 3 | The Relationship Between Forward problem and Inverse Problem | | | Week 4 | Review the Linear Algebra | | | Week 5 | Review the Matrix and Vectoral Algebra | | | Week 6 | Overview of MATLAB | | | Week 7 | Investigation of the various inverse problems in Geophysics. | | | Week 8 | Mid-term exam | | | Week 9 | Underdetermined, fulldetermined, overdetermined systems and their inverse problem solutions | | | Week 10 | Linear and non-linear problems | | | Week 11 | Non-linear problem and its inverse solutions | | | Week 12 | Quiz | | | Week 13 | Least Square Solution and Damped Least Square Solution, Marquard- Levenberg Technique | | | Week 14 | Singular Value Problem, Singular Value Decomposition (SVD), SVD solution of the Marquard- Levenberg Technique.Investigation of the quality of the inverse problem solution. Resolution Matrix and Covariance Matrix | | | Week 15 | Investigation of the data-noise how effects on the inverse problem solution. Probing of the various inverse problems for using a simple seismic tomography model via computer programming | | | Week 16 | Final Exam | | | |
| 1 | Gokalp, H. Jeofizikte Ters Çözüm, Basılmamış Ders Notlar, KTÜ, Trabzon. | | | |
| 1 | Başokur, A. T., Doğrusal ve Doğrusal Olmayan Problemlerin Ters-Çözümü, TMMOB Jeofizik Müh. Odası Eğitim Yayınları, No:4. | | | 2 | Menke. W. 1989, Geophysical Data Analaysis: Discrete Inverse Theory, Academic Pres. | | | 3 | Tarantola, A., 1987, Inverse Problem Theory, Elsevier | | | 4 | J.A., and M.L. Smith, 1997, Introductory Geophysical Inverse Theory, SAMIZDAT Pres, | | | 5 | Matlab, 1995. The Student Edition, Prentice-Hall.,Scales, J.A., 1997, Theory of Seismic Imaging, SAMIZDAT Pres, Golden, Co. | | | 6 | Aster, R. 2000, Geohysical Inverse Theory, Class Notes | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | 26/03/11 | 1,40 | 30 | | Quiz | 14 | 05/05/11 | 1,30 | 20 | | End-of-term exam | 16 | 02/06/11 | 2,00 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | .5 | 6 | 3 | | Laboratuar çalışması | 1 | 2 | 2 | | Arasınav için hazırlık | 6 | 1 | 6 | | Arasınav | 1.45 | 1 | 1.45 | | Uygulama | 3 | 2 | 6 | | Kısa sınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 12 | 1 | 12 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 75.45 |
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