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| JFZ2004 | Processing Data in Geophysics | 2+1+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | | Lecturer | Prof. Dr. Hakan KARSLI | | Co-Lecturer | Assoc. Prof. Dr. Hakan KARSLI | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course provides how to obtain some parameters of geophysical data by Fourier analysis. This course covers data interpretation by using spectral analysis methods. Students acquire knowledge of transformation techniques used in geophysical application |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | apply Fourier series and transformation to geophysical data | 1,2,3,5 | | | LO - 2 : | apply Z and Hilbert transforms to geophysical data | 1,2,3,5 | | | LO - 3 : | perform analysis of signal and noise from real data in time and frequency domain | 1,2,3,5 | | | LO - 4 : | gain programming ability and developing an algorithm to solve for different geophysical problems by using Fortran and MatLab software | 1,2,3,5 | | | 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 | | |
| Linear and nonlinear systems, Digital Signal Analysis, Fourier series, 1-D and 2-D Discrete and Fast Fourier Transform and spectra, Hilbert and Z-Transforms, Linear Filter Types, 1-D and 2-D Filter Design in Time and Frequency Domain, Frequency-Wavenumber (f, k) filter, Window Types and Windowing, Convolution and Correlations, Deconvolution, Wiener Deconvolution Structures, Fortran and Matlab Applications of All Topics. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction to- and historical progression of- the Geophysical data processing, Relations between the reason and purpose, the parameters of the signals, system concepts | | | Week 2 | Periodicity; definition of the periodic signals, sin-cosinuzoid signal, amplitude, period and phase relationships of a signal | | | Week 3 | Fourier series; The idea for Fourier series,the calculation of the Fourier series coefficients | | | Week 4 | Harmonical analysis; Parsevals theorem, Gibbs phenomenon and effect, application to Square and triangular wave types | | | Week 5 | The presentation of the complex Fourier series and complex frequency spectrum | | | Week 6 | Fourier transform; Fourier integral, Why do we need Fourier Transform? and time and frequency domain concepts and introduction to spectrum | | | Week 7 | Spectrum; the calculation of the amplitude, power and phase, their importance and means | | | Week 8 | Digitizing the anolog signals; Sampling theorem, problems, analog-to-digital transform, Z-transform and its usage | | | Week 9 | Mid-term exam | | | Week 10 | Discrete and fast Fourier transform; 1D and 2D transform of the any geophysical data, properties of the transform, applications to synthetic and real geophysical data | | | Week 11 | Convolution and correlations; auto-and cross-correlations in time and frequency domain, their importance and usages in data processing, wavelet concepts and amplitude-phase relations | | | Week 12 | Data windowing; Why do we need window? and Why is the window used? Criterias and properties in any applications | | | Week 13 | Frequency selective filters; Means and reasons in filtering any geophysical data, ideal filter functions, applications | | | Week 14 | Hilbert transform; use in time and frequency domain, signal energy and complex signal relations | | | Week 15 | Deconvolution; time and frequency domain applications, inverse of the wavelet, Wiener least square deconvolution technique | | | Week 16 | End-of-term exam | | | |
| 1 | Buttkus, B., 2000, Spectral Analysis and Filter Theory in Applied Geophysics, Springer-Verlag, Germany. | | | 2 | Yılmaz Ö., 1987, Seismic Data Processing, SEG, Tulsa, OK. | | | 3 | Hsu, P. H., 1979, Fourier Analysis, Simon and Schuster, Newyork. | | | |
| 1 | Lindseth, R. O., 1982, Digital Processing of Geohysical Data: A Review, Technica Resource Development Ltd., Alberta, Canada. | | | 2 | Robinson, E. A., (1983), Multichannel Time Series Analysis, Goose Pond Press, 455p. | | | 3 | Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P., 1996, Numerical Receips in Fortran. The Art of Scientific Computing. 2nd Edition, Cambridge University Press, 933p. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 01/04/2012 | 2 | 30 | | Homework/Assignment/Term-paper | 12 | 22/05/2011 | 8 | 20 | | End-of-term exam | 16 | 25/05/2011 | 2 | 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 | 2 | 14 | 28 | | Sınıf dışı çalışma | 1.5 | 14 | 21 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 7 | 1 | 7 | | Arasınav | 2 | 1 | 2 | | Uygulama | 1 | 14 | 14 | | Ödev | 5 | 2 | 10 | | Dönem sonu sınavı için hazırlık | 14 | 1 | 14 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 98 |
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