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Course, academic year 2023/2024
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Inversion of Seismic Wave Fields and Travel Times - NDGF004
Title: Inverze seismických vlnových polí a časů šíření
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: both
E-Credits: 3
Hours per week, examination: 2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Note: you can enroll for the course in winter and in summer semester
Guarantor: RNDr. Luděk Klimeš, DrSc.
Class: DS, geofyzika
Classification: Physics > Geophysics
Annotation -
Last update: T_KG (10.05.2002)
Seismic models. Nonlinear inverse theory, probability density functions. Kinematic hzpocentre determination (linear and non-linear). Seismic travel-time tomography. Seismic wavefield tomography. Seismic modelling.
Aim of the course -
Last update: T_KG (14.04.2008)

Acquiring knowledge of methods for solving inverse problems for seismic waves, and knowledge of applicability and resolution of these methods. A student should learn to identify incorrect or incorrectly applied methods.

Course completion requirements -
Last update: prof. RNDr. František Gallovič, Ph.D. (10.06.2019)

Oral exam

Literature - Czech
Last update: T_KG (14.04.2008)
  • Červený, V.: Seismic Ray Theory. Cambridge Univ. Press, Cambridge, 2001.
  • Tarantola, A.: Inverse Problem Theory. Methods for Data Fitting and Model Parameter Estimation. Elsevier, Amsterdam, 1987.
  • Tarantola, A.: Inverse Problem Theory and Methods for Model Parameter Estimation. SIAM, Philadelphia, 2005.

Teaching methods -
Last update: T_KG (11.04.2008)

Lecture

Requirements to the exam - Czech
Last update: prof. RNDr. František Gallovič, Ph.D. (06.10.2017)

Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce.

Syllabus -
Last update: T_KG (10.05.2002)
Seismic models:

Geological structures. Medium correlation functions. Seismic model of the medium (macro model). Macro model and structural images. Refraction and reflection seismic methods.

Nonlinear inverse theory, probability density functions:

A priori p.d.f., data p.d.f., theoretical p.d.f., a posteriori p.d.f., marginal p.d.f.. Standard distribution (Gaussian). Linearization.

Kinematic hypocentre determination (linear and non-linear).

Seismic travel-time tomography:

Data, model parameters, objective and subjective a priori information, model smoothness, Sobolev scalar products. Resolution and covariance matrices, standard deviations. Transfer of errors in seismic modelling.

Seismic migrations:

Prestack and poststack migrations. Resolution of seismic migrations. Kirchhoff migrations. Numerical efficiency of migration methods.

Seismic wavefield tomography:

Representation theorems, Born scattering, frequency-dependent information contained within wide-angle seismic data, Gabor transform, seismic wavefield tomography.

Seismic modelling:

Software, portability of source codes and data files, programming language standards, computer graphics standards, software packages developed and used at the Department of Geophysics.

 
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