# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2020/2021

### Information in the Degree Programme Tables may still be subject to change in response to Covid-19

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DRPS : Course Catalogue : School of Geosciences : Earth Science

# Undergraduate Course: Geophysical Measurement and Modelling (EASC10110)

 School School of Geosciences College College of Science and Engineering Credit level (Normal year taken) SCQF Level 10 (Year 3 Undergraduate) Availability Available to all students SCQF Credits 20 ECTS Credits 10 Summary This course is about geophysical measurement and modelling, with selected practical examples. It includes the theory of geophysical fields and waves and both passive and active geophysical measurements. It also includes Fourier analysis and filter theory, which form the rationale for the sampling and manipulation of the data. The course introduces examples of the measurement of geophysical parameters both in the field and in the laboratory, with special attention to the handling of uncertainties in measured quantities. Practical exercises involve both acquisition and interpretation of the data. The five practicals are distributed over the two semesters ¿ three in Semester 1 and two in Semester 2, with the relevant theory introduced before each practical, wherever possible. Course description Semester 1 1. Introductory lecture. Telegraph equation. Handling errors in scientific measurements. Accuracy and precision in measurements. Scientific report writing. 2. Potential fields: Newton's law of gravitation; gravity; gravitational potential; Laplace's equation; satellite orbits, Kepler elements and real satellite motion; Poisson's equation; force due to electric charge and magnetic poles Practical 1: Gravimetry and statistical data analysis - Computer exercise 3. Acoustic wave equation: total time derivative and partial time derivative; acceleration of a particle; linearization; equation of continuity; pressure waves in a fluid; constitutive equation; 1-D, 2-D and 3-D acoustic wave equations; solution to the 1-D wave equation. 4. Feedback on Practical Report 1. Practical 2: Determining density of Silurian mudstones. - Laboratory and computer exercise. 5 Seismic waves: components of strain and stress; equations of motion in an elastic medium; Hooke's law of elasticity; elastic wave equations, P-waves and S-waves; particle motion of a plane wave; solutions to the wave equation; normal modes: oscillations of a string. 6. Practical 3: Thermal diffusivity of a rock core - Laboratory and computer exercise. 7. Fourier Analysis and Filter Theory, Part 1: Fourier transform; the delta-function; resolution and bandwidth; similarity theorem; impulse function; impulse response; linear filters and convolution; convolution theorem; derivative theorem; wavefield transformation. 8 Fourier Analysis and Filter Theory, Part 2: Sampling theorem and aliasing; filtering; correlation and autocorrelation; deconvolution; effects of noise; upward and downward continuation. 9. Electromagnetic (EM) Waves: Maxwell's equations; EM constitutive relations; EM wave equations; plane wave solutions of the EM wave equations, skin depth, wavelength; EM propagation in air and free space; EM propagation in conducting media; diffusion equation. 10. Revision. Semester 2 1. Passive Geophysical Measurements, Part 1: gravity anomalies; gravity meters, measurements and corrections; gravity gradiometry and gravity measurement on a moving vessel or aeroplane; non-uniqeness of gravity interpretation; magnetics; heat flow. 2. Meteorological measurements: atmospheric turbulence. Practical 4: Meteorological measurements - Computing exercise. 3. Passive Geophysical Measurements, Part 2: The magnetotelluric method; classical seismology; Adams-Williamson equation. 4 Active Geophysical Measurements, Part 1: seismic exploration and seismic data acquisition; reflection coefficients for acoustic waves; seismic exploration and normal moveout correction and stacking; Practical 5: Seismic wave speed - Laboratory exercise. 5. Active Geophysical Measurements, Part 2: Controlled source electromagnetics (CSEM) and the role of fluids; conventional CSEM; transient CSEM and MTEM; 6 Green's theorem and some applications. 7. Seismic sources and receivers; dynamite, air guns, Vibroseis and determination of source time functions; geophones, hydrophones and their response functions. 8. Receiver functions: surface vector motion, P-S conversion, separation of P-wave from converted wave, P-wave and S-wave velocities in the crust and upper mantle. . 9. Revision.
 Pre-requisites Students MUST have passed: Physics of the Earth (EASC08016) AND ( Algebra and Calculus (PHYS08041) OR Linear Algebra and Several Variable Calculus (PHYS08042)) Co-requisites Prohibited Combinations Other requirements None
 Pre-requisites Approval of the Course Organiser. High Demand Course? Yes
 Academic year 2020/21, Available to all students (SV1) Quota:  None Course Start Full Year Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 30, Seminar/Tutorial Hours 17, Supervised Practical/Workshop/Studio Hours 16, Feedback/Feedforward Hours 2, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 128 ) Assessment (Further Info) Written Exam 70 %, Coursework 30 %, Practical Exam 0 % Additional Information (Assessment) Exam (50%) Coursework (50%) The coursework consists of five practical exercises. The students are expected to do all five and write a report on each in no more than four pages. Written feedback will be provided on the first report. One of the subsequent four-page reports will count for 27.5% and the remaining three will count for 7.5%. The reports will count for a total of 50%. The three-hour exam will be on the whole course, including the practical exercises, and will count for 50%. For information on deadlines please refer to the Learn page. Assessment deadlines Practical Report 1 (formative) - Semester 1, Week 4. Feedback Week 5 Wednesday Practical Report 2 - Semester 1, Week 6. Wednesday Practical Report 3 - Semester 1, Week 8. Wednesday Practical Report 4 - Semester 2, Week 3. Wednesday Practical Report 5 - Semester 2, Week 5. Wednesday Feedback Feedback will be given on the first practical exercise report, which will not be assessed. Tutorials will be held in most weeks to cover problems set in lectures and to cover any questions on the course material. Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S2 (April/May) Geophysical Measurement and Modelling 2:00
 On completion of this course, the student will be able to: Demonstrate familiarity with essential mathematical techniquesDemonstrate familiarity with the application of classical physics to Earth problemsAnalyse observational data including examples of statistical and numerical methods, graphical interpretation and computer modellingAppreciate the manipulation of geophysical data to obtain physical properties of the EarthWrite a concise scientific report, or extended abstract, of no more than four pages
 Blackwell, J &Martin, J., 2011, A Scientific Approach to Scientific Writing, Springer Gauch, H.J., 2012, Scientific Method in Brief,, Cambridge University Press. Berendsen, J.C., 2011, A student's guide to data and error analysis, Cambridge University Press. Lowrie, W., Fundamentals of Geophysics, Cambridge University Press. Lowrie, W., A Student's Guide to Geophysical Equations, Cambridge University Press.
 Graduate Attributes and Skills Report-writing skills Keywords Geophysical equations,Fourier theory,data analysis,laboratory measurements,computer modelling
 Course organiser Prof Anton Ziolkowski Tel: (0131 6)50 8511 Email: anton.ziolkowski@ed.ac.uk Course secretary Ms Katerina Sykioti Tel: (0131 6)50 5430 Email: Katerina.Sykioti@ed.ac.uk
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