Estimation of the strain rate tensor by GPS observations data in the Greece, Turkey and Iran regions

2012;
: 5-10
1
Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University
2
Department of Higher Geodesy and Astronomy of Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University

   Estimated from GPS observations velocities of GPS stations were used to obtain 2D model velocities and strain rate field in the Greece, the Turkey and Iran area. As a result, the study of the velocities field was done in the following steps. The first one consists of the development of the finite element approach on the geosphere based on bicubic spline functions for the interpolation scattered GPS data to the regular nodes because observations have irregular distribution. The second one represents the inversion of velocities from GPS observations to the strain rate tensor. We chose to apply such approach to observations in the Greece, the Turkey and Iran, because it is has not extensively instrumented areas and it is well understood from a geological and geophysical point of view. Finally full eigenvalue/eigenvector problem for the considered problem is preformed.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           

  1. 1. Vysotenko R. Vyznachennya shvydkostey zminy koordynat postiyno diyuchykh stantsiy i periodychno diyuchykh punktiv UPM HNSS za rezul'tatamy suputnykovykh heodezychnykh sposterezhen' 1995-2007 rokiv // Suchasni dosyahnennya heodezychnoyi nauky ta vyrobnytstva. -L'viv, 2010. - S. 37-41.
    2. Kochyn N.E. Vektornoe yschyslenye y nachala tenzornoho yschyslenyya. - M.: Nauka, 1951. - 427 s.
    3. Marchenko O.M., Zayats' O.S., Nychvyd M.R. Pro dvovymirnu interpolyatsiyu transformant hravitatsiynoho polya modyfikovanym splaynom Ermita // Visn. heodez. ta kartohr. - Kyyiv. -2005. - № 4. - S. 6-10.
    4. Marchenko O.M., Tretyak K.R., Serant O.V. Otsinka tochnosti komponent tenzora deformatsiyi // Suchasni dosyahnennya heodezychnoyi nauky tavyrobnytstva. - L'viv, 2010. - S. 41-43.
    5. Marchenko O.M., Tretyak K.R., Vysotenko R.O. Otsinyuvannya tenzoru shvydkostey deformatsiy u SkhidniyYevropi // Heodynamika. - 2011. - № 1(10). - S. 5-15.
    6. Bird P. An updated digital model of plate boundaries // Geochemistry, Geophysics, Geosystems, 2003. Vol. 4, No 3, art. no. 1027, doi:10.1029/2001 GC000252. Pr. 1-52.
    https://doi.org/10.1029/2001GC000252
    7. DeMets C., Gordon R.G., Argus D.F., Stein S. Current plate motions // International Geophysical Journal. 1994. Vol. 101. Pr. 425-478.
    https://doi.org/10.1111/j.1365-246X.1990.tb06579.x
    8. DeMets C., Gordon R.G., Argus D.F., Stein S. Effect of recent revisions to the geomagnetic reversal timescale on estimates of current plate motions //Geophys. Res. Lett. 1994. Vol. 21. Pr. 2191-2194.
    https://doi.org/10.1029/94GL02118
    9. El-Fiky G.S. Crustal strains in the Eastern Mediterranean and Middle East as derived from GPS observations // Bull. of Earth. Res. Inst.Univ. Tokyo, 2000. Vol. 75. Pr. 105-125.
    10. El-Fiky G.S., Kato T. Continuous distribution of the horizontal strain in the Tohoku district, Japan,deduced from least squares prediction // Journal ofGeodynamics. 1999, Vol. 27. Pr. 213-236.
    https://doi.org/10.1016/S0264-3707(98)00006-4
    11. El-Fiky G.S., Kato T., Fuji Y. Distribution of vertical crustal movement rates in the Tohoku district, Japan, predicted by least-squares collocation //Journal of Geodesy. 1997. Vol. 71. Pr. 213-236.
    https://doi.org/10.1016/S0264-3707(98)00006-4
    12. England Ph., Molnar P. The field of crustal velocity in Asia calculated from Quaternary rates of slip on faults // Geophys. J. 1997. Int. 130. Pr. 551-582.
    https://doi.org/10.1111/j.1365-246X.1997.tb01853.x
    13. 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. Pr. 12057-12082.
    https://doi.org/10.1029/93JB00892
    14. Heiskanen W.A., Moritz H. Physical Geodesy. - W.H. Freeman, San Francisco. 1967.- 364 p.
    15. Julliette L., Altamimi Z., Olivier J. Interpolation of the European velocity field using least squeares collocation method. Paper presented at the EUREF Symposium 2006. Riga, Latvia, 14-17 June, 2006.
    16. Krarup T. A Contribution to the Mathematical Foundation of Physical Geodesy // Danish Geod. Inst. Public. Copenhagen. 1969. No 44.
    17. 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, PP. 765-770.
    https://doi.org/10.1186/BF03352279
    18. Marchenko A.N. A note on the eigenvalue - eigenvector problem. In: Kühtreiber N. (Ed.), Festschrift dedicated to Helmut Moritz on the occasion of his 70th birthday // Graz University of Technology. Graz. 2003. Pr. 143-154.
    19. Marleen Nyst, Wayne Thatcher. New constraints on the active tectonic deformation of the Aegean // J.Geophys. Res. 2004. Vol. 109. Pr. 1-23.
    https://doi.org/10.1029/2003JB002830
    20. McCarthy D., Petit G. IERS Conventions, IERS Technical Note No.32 // Verlag des Bundesamts fur Kartographie und Geodasie. Frankfurt am Main. 2004.
    21. Minster, J.B., Jordan T.H. Present-day plate motions //J. Geophys. Res. 1978. Vol. 83. Pr. 5331-5354.
    https://doi.org/10.1029/JB083iB11p05331
    22. Rastbood A., Voosoghi B. Extension and slip rate partitioning in NW Iran constrained by GPS measurements. Research article // Journal of geodetic science. 2011. Vol. 112. Pr. 285-304.
    https://doi.org/10.2478/v10156-011-0008-9
    23. Saffet Erdoğan, Muhammed Şahin, İbrahim Tiryakioğlu, Engin Gülal and Ali Kazım Telli. GPS Velocity and Strain Rate Fields in Southwest Anatolia from Repeated GPS Measurements // Sensors. 2009. Vol. 9. Pr. 2017-2034.
    https://doi.org/10.3390/s90302017
    24. Saffet Erdogan, Muhammed Sahin et al. Monitoring of Deformations Along Burdur Fethiye Fault Zone with GPS // Journal of Earthquake Engineering. 2008. Vol. 12 (S2). Pr. 109-118.
    https://doi.org/10.1080/13632460802013784
    25. Vaníček P., Grafarend E.W., Berber M. Short note: Strain invariants // Journal of Geodesy. 2008. Vol. 82. Pr. 263-268.
    https://doi.org/10.1007/s00190-007-0175-8
    26. Yahua Jiamor, Philippe Vernant, Rojer Bajer, Hamid Reza Nankali et al. GPS and gravity constraints on continental deformation in the Alborz mountain range, Iran // International Geophysical Journal. 2010. Vol. 114. Pr. 1-15.