The field of linear velocities and movements of the earth crust in the South Eastern Europe region

: pp. 18-27
Received: December 07, 2012
Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University
Department of Higher Geodesy and Astronomy of Lviv Polytechnic National University
Lviv Polytechnic National University
Department of Higher geodesy and astronomy, Lviv polytechnic National University
Lviv Polytechnic National University

Coordinates and velocities of GPS-points in the South-East Europe were used to derive the 2D model of velocities and horizontal strain rate fields of the region (the territory of Ukraine, Bulgaria, Romania, Greece, Turkey and Iran). The first step of studies consists of the development of the finite element approach based on the bicubic spline functions for the building of the regular grid data via scattered geodetic network. The second one represents the inversion of velocities from GPS observations data to the strain rate tensor. Finally the eigenvalue/eigenvector problem was considered in the South-East Europe area especially for possible improvements of the Aegean, Greek, Arabian and Eurasian tectonic plates.

1. Vysotenko R. Vyznachennia shvydkostei zminy koordynat postiino diiuchykh stantsii i perio¬dychno diiuchykh punktiv UPM HNSS za re¬zultatamy suputnykovykh heodezychnykh spo¬sterezhen 1995-2007 rokiv // Suchasni dosiah¬nennia heodezychnoi nauky ta vyrobnytstva. -Lviv. - 2010. - S. 35-40.
2. Kochin N.E. Vektornoe ischislenie i nachala tenzornogo ischislenija. - M.: Nauka, 1951. - 42
3. Marchenko O., Tretiak K., Serant O. Otsinka tochnosti komponent tenzora deformatsii // Suchasni dosiahnennia heodezychnoi nauky ta vy¬robnytstva. - Lviv. - 2010. - S. 41-43.
4. Bird P. An updated digital model of plate boundaries // Geochemistry, Geophysics, Geosystems. - 2003. - Vol. 4, No 3, art. no. 1027, doi:10.1029/2001GC000252, 1-52.
5. DeMets C., Gordon R.G., Argus D.F., Stein S. Cur¬rent plate motions // Geophysical Journal In¬ternational. - 1990. - Vol. 101. - P. 425-478.
6. DeMets C., Gordon R.G., Argus D.F., Stein S. Ef¬fect of recent revisions to the geomagnetic re¬versal timescale on estimates of current plate motions // Geophys. Res. Lett. - 1994. -
Vol. 21. - P. 2191-2194.
7. England Ph., Molnar P. The field of crustal velocity in Asia calculated from Quaternary rates of slip on faults // Geophys. J. - 1997. - Int. 130. -
P. 551-582.
8. Haines A. J., Holt W. E. A procedure for obtaining the complete horizontal motions within zones of distributed deformation from the inversion of strain rate data // J. Geophys. Res. - 1993. - Vol. 98. -
P. 12057-12082.
9. Julliette L., Altamimi Z., Olivier J. Interpolation of the European velocity field using least squares collocation method // Paper presented at the EUREF Symposium 2006. Riga, Latvia, 14-17 June, 2006.
10. Kreemer C., Haines J., Holt W. E., Blewitt G. and Lavallee D. On the determination of a global strain rate model // Earth Planets Space. -
2000. - Vol. 52. - P. 765-770.
11. Marchenko A.N. A note on the eigenvalue - eigen¬vector problem. - In: Kühtreiber N. (Ed.), Fest¬schrift dedicated to Helmut Moritz on the oc¬casion of his 70th birthday. Graz University of Technology. Graz, 2003. - P. 143-154.
12. McCarthy D., Petit G. IERS Conventions (2003), IERS Technical Note No.32. Verlag des Bun¬desamts fur Kartographie und Geodäsie, Frank¬furt am Main, 2004.
13. Minster J.B., Jordan T.H. Present-day plate moti¬ons // J. Geophys. Res. - 1978. - 83, - P. 5331-5354.
14. Vaníček P., Grafarend E.W., Berber M. SHORT NOTE: Strain invariants // Journal of Geodesy. - 2008. - Vol. 82. - P. 263-268.