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The Method of Mutual Estimating of Rotation and Deformations of Tectonic Blocks

A. V. Mokhnatkin, S. D. Petrov, V. L. Gorshkov, N. V. Shcherbakova, S. S. Smirnov, D. A. Trofimov

Transactions of IAA RAS, issue 35, 112 (2015)

Keywords: GNSS, movement of lithospheric plates, Euler pole, strain field, two-group LSM, Baltic Shield

Abstract

The tasks to determine velocities of lithospheric plates and to estimate their deformations using geodetic measurements used to be solved independently of each other. Moreover, these lithospheric plates were regarded sliding by a sphere as absolutely solid bodies in the first case [1], and they were considered to be the fixed deformable blocks in the second case [2]. Our investigation shows that both models are incomplete. In general, one can say that any velocity field of stations is a combination of solid body rotation and deformation. An algorithm for joint estimation of the angular velocity vector and deformations of a lithospheric block has been implemented in this work. These parameters have been estimated using the least squares collocation method and the model covariance functions adopted in the methods of geostatistics [3]. This algorithm is used to estimate the deformation and rotation parameters of the Baltic Shield.

Citation

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RIS

A. V. Mokhnatkin, S. D. Petrov, V. L. Gorshkov, N. V. Shcherbakova, S. S. Smirnov, D. A. Trofimov. The Method of Mutual Estimating of Rotation and Deformations of Tectonic Blocks // Transactions of IAA RAS. — 2015. — Issue 35. — P. 112.

@article{mokhnatkin2015,
  abstract = {The tasks to determine velocities of lithospheric plates and to estimate their deformations using geodetic measurements used to be solved independently of each other. Moreover, these lithospheric plates were regarded sliding by a sphere as absolutely solid bodies in the first case [1], and they were considered to be the fixed deformable blocks in the second case [2]. Our investigation shows that both models are incomplete. In general, one can say that any velocity field of stations is a combination of solid body rotation and deformation. An algorithm for joint estimation of the angular velocity vector and deformations of a lithospheric block has been implemented in this work. These parameters have been estimated using the least squares collocation method and the model covariance functions adopted in the methods of geostatistics [3]. This algorithm is used to estimate the deformation and rotation parameters of the Baltic Shield.},
  author = {A.~V. Mokhnatkin and S.~D. Petrov and V.~L. Gorshkov and N.~V. Shcherbakova and S.~S. Smirnov and D.~A. Trofimov},
  issue = {35},
  journal = {Transactions of IAA RAS},
  keyword = {GNSS, movement of lithospheric plates, Euler pole, strain field, two-group LSM, Baltic Shield},
  pages = {112},
  title = {The Method of Mutual Estimating of Rotation and Deformations of Tectonic Blocks},
  url = {http://iaaras.ru/en/library/paper/1071/},
  year = {2015}
}

TY  - JOUR
TI  - The Method of Mutual Estimating of Rotation and Deformations of Tectonic Blocks
AU  - Mokhnatkin, A. V.
AU  - Petrov, S. D.
AU  - Gorshkov, V. L.
AU  - Shcherbakova, N. V.
AU  - Smirnov, S. S.
AU  - Trofimov, D. A.
PY  - 2015
T2  - Transactions of IAA RAS
IS  - 35
SP  - 112
AB  - The tasks to determine velocities of lithospheric plates and to
estimate their deformations using geodetic measurements used to be
solved independently of each other. Moreover, these lithospheric
plates were regarded sliding by a sphere as absolutely solid bodies
in the first case [1], and they were considered to be the fixed
deformable blocks in the second case [2]. Our investigation shows
that both models are incomplete. In general, one can say that any
velocity field of stations is a combination of solid body rotation
and deformation. An algorithm for joint estimation of the angular
velocity vector and deformations of a lithospheric block has been
implemented in this work. These parameters have been estimated using
the least squares collocation method and the model covariance
functions adopted in the methods of geostatistics [3]. This algorithm
is used to estimate the deformation and rotation parameters of the
Baltic Shield.
UR  - http://iaaras.ru/en/library/paper/1071/
ER  -