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Basics of rotational seismology - NGEO105
Title: Základy rotační seismologie
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2013
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: doc. RNDr. Johana Prokop Brokešová, CSc.
Teacher(s): doc. RNDr. Johana Prokop Brokešová, CSc.
Annotation -
Rotational seismology is a new developing seismological discipline which, in contrast to classical approach based on measuring of translational motions, deals with rotational ground motions. Main topics of the lecture are: history of the investigation of rotational components, basics of the theory of elasticity and curl of seismic wave field, numerical modeling of seismic rotations in simple structures, measurements of seismic rotations, matching the rotation and translation waveforms, etc. The lecture is also developed within the OP JAK project reg. no. CZ.02.01.01/00/22_008/0004605.
Last update: Gallovič František, prof. RNDr., Ph.D. (25.06.2025)
Aim of the course -

Acquiring knowledge of rotational seismology, methods of measuring of seismic rotations and their basic seismological applications.

Last update: T_KG (03.05.2013)
Course completion requirements -

Oral exam

Last update: Gallovič František, prof. RNDr., Ph.D. (10.06.2019)
Literature - Czech
  • R. Teisseyre, M. Takeo, and E. Majewski (Eds.), Earthquake Source Asymmetry, Structural Media and Rotation Effects, Springer-Verlag Berlin Hoedelberg, 2006
  • Bull. Seis. Soc. Am, Vol 99, No. 2B, 2009, special issue on Rotational Seismology and Engineering Applications
  • J. Seismol, Vol 16, No. 4, 2012, special issue on Advances in Rotational Seimology: Instrumentation, Theory, Observations, and Engineering

Last update: T_KG (03.05.2013)
Teaching methods -

Lecture

Last update: T_KG (03.05.2013)
Syllabus -
History of the investigation of seimic rotational motions
  • discussion of possible rotational motion manifestation on certain structures for present-time and historical earthquakes

Basics of the theory of elasticity and curl of seismic wave field

  • tensor of small rotations, curl of seismic displacement field, influence of the earth‘s surface

Numerical modeling of seismic rotations in simple structures

  • wavefields simulations in homogeneous or gradient media for a double couple or center of rotation point source

Ring laser measurements of seismic rotation

  • basic principle, examples of rotational seismograms

Determination of seismic rotation from small-aperture arrays

  • ADR (Array Derived Rotation) method, basic principle, conditions of applicability, accuracy estimates

Direct measurements of seismic rotation by point sensors

  • new types of rotational sensors and basic measurement principles, Rotafon - a six-degree-of-freedom seismic sensor (patent FMP CU), in-situ calibration

Generator of seismic rotational motions
  • repeatable source generating SH waves and rotational motions, signal stacking, linear and non-linear summing method

Rotational seismograms and matching the rotation and translation waveforms

  • waveform analogy between rotation rate and translational velocity, quantification of rotational amplitudes by the Rotation-to-Translation-Ratio (RTR), frequency dependence of RTR, RTR depencence on other parameters

Structural effects in rotation seismic wavefield

  • phase velocity determination

Source effects in rotation seismic wavefield

  • determination of focal mechanism

Rotational seismology is also developed within the OP JAK project "Natural and anthropogenic geophysics", reg. no. CZ.02.01.01/00/22_008/0004605, whose methods and results are presented in the course.

Last update: Gallovič František, prof. RNDr., Ph.D. (25.06.2025)
 
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