Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | GEOPHYSICAL ENGINEERING | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ÖZCAN ÇAKIR (ocakir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To teach basic knowledges to students about inversion in geophysics. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Be able to apply the inverse theory. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| LO-2 | Be able to discuss various inverse problems and their solutions. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| LO-3 | Be able to appreciate solve geophysical data with inversion methods. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| LO-4 | Be able to develop (reverse and straight) interpretations and approaches on geophysical data. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| LO-5 | Be able to do linear algebra, matrix solution of linear and non-linear equation systems. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| LO-6 | Be able to discuss and evaluate the resolution parameters of inversion results. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Model parameter, flat-solution and reverse-solution concepts. Approximation of the data to equation of straight a surface and polinoma with the least-squares method. Regulation of linear filters with the least-squares method. Solution of systems of linear equations with singular value decomposition method. Parameter estimation of nonlinear problems with steepest descent, Gauss-Newton and damped least-squares methods. Investigation of the parameter difference. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Model parameter, flat solution and reverse solution concepts | Lecturing |
| 2 | Model parameter, flat solution and reverse solution concepts | Lecturing |
| 3 | Approximation of the data to equation of straight, a surface and polinoma with the least squares method | Problem solving method |
| 4 | Approximation of the data to equation of straight, a surface and polinoma with the least squares method | Problem solving method |
| 5 | Approximation of the data to equation of straight, a surface and polinoma with the least squares method | Problem solving method |
| 6 | Regulation of the filters with least squares linear | Lecturing and problem solving method |
| 7 | Regulation of the filters with least squares linear | Lecturing and problem solving method |
| 8 | mid-term exam | |
| 9 | Singular value decomposition method with solution of systems of linear equations | Problem solving method |
| 10 | Singular value decomposition method with solution of systems of linear equations | Problem solving method |
| 11 | Parameter estimation of nonlinear problems with steepest descent, gauss-newton and damped least-squares methods | Problem solving method |
| 12 | Parameter estimation of nonlinear problems with steepest descent, gauss-newton and damped least-squares methods | Problem solving method |
| 13 | Parameter Estimation of Nonlinear Problems with Steepest Descent, Gauss-Newton and Damped Least-Squares Methods | Problem solving method |
| 14 | Investigation of the parameter difference | Lecturing |
| 15 | Investigation of the parameter difference | Lecturing |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Başokur, A. T. 2002, Doğrusal ve doğrusal olmayan problemlerin ters-çözümü. TMMOB Jeofizik Mühendisleri Odası Yayını. 166 sayfa | |
| 2 | Dimri, V., 1992, Deconvolution and inverse theory: Application to Geophysical Problems, Elsevier, Amsterdam, 230 pp. | |
| 3 | Levenberg, K., 1944, A method for the solution of certain nonlinear problems in least squares, Quart. Appl. Math., 2, 164-168. | |
| 4 | Levinson, N., 1947, The Wiener RMS (root mean square) error criterion in filter design and prediction, Journal of Mathematics and Physics 25, 261-278. | |
| 5 | Lines I. . and Treitel, S., 1984, Tutorial: A review of least-squares inversion and its application to geophysical problems, Geophysical Prospecting 32, 159-186. | |
| 6 | Meju, M. A. 1994, Geophysical data analysis: Understanding inverse problem theory and practice, Course Notes Series, Volume 6, Society of Exploration of Geophysics, 296 pp. | |
| 7 | Menke, W., 1984, Geophysical data analysis: Discrete inverse theory, Academic Press, Inc., 289 pp | |
| 8 | Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T., 1986, Numerical recipes, The art of scientific computation, Cambridge University Press, 818 pp. | |
| Required Course instruments and materials | ||
| None | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 1 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 0 | ||
| b) Search in internet/Library | 0 | ||
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 8 | 7 | 56 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 8 | 7 | 56 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 156 | ||