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Course, academic year 2018/2019
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Inverse Problems and Modelling in Geophysics - NGEO081
Title in English: Obrácené úlohy a modelování v geofyzice
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017 to 2019
Semester: summer
E-Credits: 6
Hours per week, examination: summer s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: RNDr. Jakub Velímský, Ph.D.
Annotation -
Last update: T_KG (01.05.2013)
Follow-on course to Inverse Problems in Physics (GEO076). Additional theoretical chapters as well as exercises in programming and numerical solving of the inverse problems common in geophysics. Location of earthquake hypocenter, seismic tomography, inverse gravimetric problem, inverse magnetotelluric problem, etc. Comparison of various methods and approaches.
Aim of the course -
Last update: T_KG (01.05.2013)

Acquiring practical skills in geophysical inverse modelling.

Course completion requirements - Czech
Last update: RNDr. Jakub Velímský, Ph.D. (06.10.2017)

Podmínky pro udělení zápočtu:

Získání alespoň 67% bodů za domácí úkoly zadané v průběhu semestru.

Úkoly je možné po dohodě i vrátit k doplnění a přepracování.

Získání zápočtu je podmínkou pro konání zkoušky.

Forma zkoušky: ústní

Požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce.

Literature -
Last update: CADEK/MFF.CUNI.CZ (03.04.2008)

A. Tarantola, Inverse Problem Theory, Elsevier 1987.

http://www.ipgp.jussieu.fr/~tarantola/

Teaching methods -
Last update: RNDr. Jakub Velímský, Ph.D. (06.10.2017)

Lecture + exercises

Syllabus -
Last update: T_KG (01.05.2013)
Advanced chapters from inverse problem theory.

Solution of the inverse problem in general L_p norm. Least absolute value criterion. Linear programming, FIFO, simplex method. Minimax. Adjoint problems and their applications. Introduction to data assimilation.

Practical applications

Seismic location. Seismic tomography. Magnetotelluric inversion. Gravimetric inversion Data assimilation based on Kalman filtering. Different approaches and techniques will be tested on real-life geophysical examples.

 
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