SubjectsSubjects(version: 945)
Course, academic year 2023/2024
   Login via CAS
Geophysical data processing - MG452P21
Title: Zpracování geofyzikálních dat
Czech title: Zpracování geofyzikálních dat
Guaranteed by: Institute of Hydrogeology, Engineering Geology and Applied Geophysics (31-450)
Faculty: Faculty of Science
Actual: from 2021
Semester: summer
E-Credits: 4
Examination process: summer s.:combined
Hours per week, examination: summer s.:2/1, C+Ex [HT]
Capacity: 20
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Explanation: Pro realizaci cvičení se používá sw MATLAB - universitní licence pro studenty UK K dispozici je úplný text přednášek a prezentací na MOODLE
Additional information: http://dl2.cuni.cz/course/view.php?id=1130
Note: enabled for web enrollment
Guarantor: doc. RNDr. Jan Vilhelm, CSc.
Teacher(s): doc. RNDr. Jan Vilhelm, CSc.
Annotation -
Last update: doc. RNDr. Jan Vilhelm, CSc. (31.03.2023)
The aim of this course is the numerical mathematics methods used in applied geophysics. Exercises are based on use of MATLAB program.
Numerical methods of solving systems of linear equations, including and Gauss generalized inversion.
The basic methods of approximation and interpolation of numerical data seiries.
The basics of numerical derivation and integration.
Fourier transform, its discrete implementation.
The nunerical methods taught are so general that they can be used in virtually all disciplines.
For students interested in the follow-up master's study of Applied Geology, focusing on applied geophysics, the completion of this course is practically necessary to understand a number of data processing methods in applied geophysics.
The course is strongly practically oriented, MATLAB is used to perform calculations. Prior knowledge of MATLAB is an advantage for students, but it is generally assumed that students without previous knowledge of MATLAB also apply.
Literature - Czech
Last update: doc. RNDr. Jan Vilhelm, CSc. (31.03.2023)

Kurz má svoji e-lerningovou stránku - tam je k dispozici podrobný učební text, který plně pokrývá přednášenou látku.

Hradilek L., Stehlík E., 1990: Matematika pro geology I. SNTL, 426 str.
Hradilek L., Stehlík E., 1991: Matematika pro geology II. SNTL, 419 str.
Max A. Meju (1994): Geophysical Data Analysis: Understanding Inverse Problem Theory and Practise. Society of Exploration Geophysicists, Tulsa.
Pretlová, V., Zahradník, J. (1978): Numerické metody v geofyzice, SPN Praha, skripta MFF UK.
Červený, V. (1977): Fourierova spektrální analýza, MFF UK, Praha.
Pěč, K. (1977): Zpracování časových řad, MFF UK, Praha.
V. Čižek, (1981): Diskrétní Fourierova transformace a její použití. Matematický seminář 16 SNTL, Praha.

Syllabus -
Last update: doc. RNDr. Jan Vilhelm, CSc. (31.03.2023)

Numerical Mathematics. Solution of systems of linear algebraic equations: Gaussian elimination and LU factorization, generalised matrix inversion, singular value decomposition, iterative methods.
Approximation, interpolation, spline. Linear regression.
Numerical derivative and integral.
Discrete Fourier analysis: analysing periodic functions, analysing nonperiodic functions, sampling and digitizing signal functions, Fourier analysis of sampled time signals, the effect of time limitation, the fast Fourier transform. Digital signal processing: noise, mean and trend removal, digital filtering.

Problem solving exercises are based on MATLAB.

 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html