The 3D time dependent transformation model on the NOANET CORS GNSS. A collaboration between Geodesy & Geodynamics

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1 The 3D tme dependent transformaton model on the NOANET CORS GNSS. A collaboraton between Geodesy & Geodynamcs N. KALAMAKIS 1, D. AMPATZIDIS 2, K. KATSAMBALOS 1 1 DEPA RTMEN T OF GEODESY & SURVEYING - A R I STOTLE UNIVERSITY OF THESSALONIKI 2 GERMAN FEDERAL AGENCY FOR CARTOGRAPHY A N D GEODESY (BKG)

2 The NOANET The CORS network of the Natonal Observatory of Athens (NOA) Intally establshed for montorng crustal deformatons of the Greek area n 2008 (Ganas et al. 2008; Chousants et al. 2013) 18 COR Statons natonwde (2018) Staton NOA1 located n Attca s part of the EPN Source: Source:

3 The NOANET NOA1 (Pentel, Attca) PKRV (Paraskev, Lesvos Island) Source: KIPO (Kpoura, Cephalona Island)

4 The NOANET The Network s reference frame was realzed by 18 IGS statons, usng GAMIT software (Chousants et al. 2013) The NOA1 staton (EPN) was not ncluded n the frame realzaton Open Data polcy 1-s & 30-s Data (1-s data avalable upon request) Offcal soluton for 10/18 statons. Coordnates referred to ITRF05 (estmated for a certan epoch) and veloctes to the Eurasan Plate epoch VE VN Staton X (m) Y (m) Z (m) (year) (mm/a) (mm/a) ATAL KASI KLOK LEMN NOA PONT PRKV RLSO SPAN VLSM Source: accessed March 2018

5 The case study Local RF The core dea of ths report s to descrbe an algorthm, transformng the offcal coordnates of NOANET (as publshed offcally) to the local reference frame of Greece (HGRS87) usng the tme-dependent transformaton (Altamm, 2002) Hellenc Geodetc Reference System of 1987 HGRS87 1. A non geocentrc reference frame whch t manly concentrates to the horzontal coordnates (the vertcal nformaton s qute problematc) 2. Classcal datum 3. Establshed over 30 years ago 4. Offcal Cadastral System 5. Fully operatonal Hellenc Terrestral Reference System of 2007 HTRS07 1. Offcal Reference System of HEPOS 2. Densfcaton of ETRS89 3. Coordnates refer to ETRF05 (ep ) 4. Offcal trasformaton between HGRS87- HTS07 horzontal component (Katsambalos et al. 2010) 5. Natonwde rms ±8.3cm

6 The case study Methodology Flow Topocentrc veloctes (v e v n v u ) w.r.t. the Eurasan Plate v XYZ 1 R v enu Geocentrc veloctes (v X v Y v Z ) through angular veloctes v ITRF 2008 = v europe -Ω ITRF 2008 x ITRF 2008 ITRF Geocentrc veloctes Coordnates and veloctes w.r.t. HTRS07 HGRS87 Coordnates Tme dependent transformaton (Altamm, 2002) HEPOS Transformaton Tool ITRF2005 to ETRF2005 (ep ) (Boucher & Altamm, 2007) HELLENIC CADASTRE S.A. (Katsabalos et al. 2010)

7 The case study Methodology STEPS 1 & 2 vx sn cos 0 ve v Y sn cos sn sn cos v n v Z cos cos cos sn sn v u 1 Topocentrc veloctes (v e v n v u ) Geocentrc veloctes (v X v Y v Z ) through angular veloctes w.r.t. the Eurasan Plate ITRF 2008 europe v ITRF 2008 X v 0 X Z Y X ITRF 2008 europe ITRF 2008 vy v 0 Y Z X Y ITRF 2008 europe ITRF 2008 v Y X 0 Z Z v Z ITRF Geocentrc veloctes X Y Z mas / a mas / a mas / a

8 The case study Methodology STEP 3 ITRF Geocentrc coordnates & veloctes Coordnates and veloctes w.r.t. HTRS07 Tme dependent transformaton (Altamm, 2002) NOTE: The 3D-translaton vector was estmated by usng the 3D coordnate dfference between the ETRF2005 and ETRF2000. It should be consdered n order to be consstent to the -wthdrawn- ETRF2005 (the frame n whch the HTRS07 s algned) Transformaton of ITRF coordnates and veloctes to HTRS07 RF usng the tme dependant transformaton parameters A. Transformaton of ITRF2008 coordnates & veloctes to ITRF2005 B. ITRF2005 to ETRF2005 (ep ). Last realzaton of ETRS89 s ETRF2000. The transformaton procedure should take nto account ETRF2000

9 The case study Methodology STEP 4 Coordnates w.r.t. HTRS07 HEPOS Transformaton Tool Transformaton of HTRS07-derved coordnates to HGRS87 usng the HEPOS TRANSFORMATION TOOL HGRS87 Coordnates HTRS 07HGRS87 Tx m T y m T z m D ppm R x 0.170arcsec Ry 0.060arcsec R z 0.151arcsec HGRS 87offcal HGRS 87 grd E E E N N A. 7-Parameter Helmert Transformaton between HTRS07 & HGRS87 B. The Transformaton resduals (referrng to Transverse Mercator projecton plane) are nterpolated nto a 2km x 2km grd pontwse Katsambalos et al. 2010

10 The case study Data and results epoch VE VN Staton X (m) Y (m) Z (m) (year) (mm/a) (mm/a) ATAL KASI KLOK LEMN NOA PONT PRKV RLSO SPAN VLSM Staton X (m) Y (m) Z (m) V X (mm/a) V Y (mm/a) V Z (mm/a) V N (mm/a) V E (mm/a) ATAL KASI KLOK LEMN NOA PONT PRKV RLSO SPAN VLSM Intal coordnates and veloctes of 10/18 NOANET statons (source: Chousants et al. 2013, accessed at 3D coordnates (ETRF2005, ep ) and veloctes (wrt Eurasan Plate)

11 The case study Data and results Staton E (m) N (m) H (m) ATAL KASI KIPO KLOK LEMN NOA NVRK PONT PRKV RLSO SPAN VLSM Veloctes of the 10/18 Statons of NOANET (table 2) Projecton coordnates (TM) wrt HGRS87 and Orthometrc Heght, derved from aspecfc geod model for Greece.

12 Fnal Remarks - Concluson The accuracy of the transformaton between HTRS07 & HGRS87 s ±8.3cm (resduals rms natonwde offcal vs estmated) The orthometrc heghts presented, are not assessed and valdated. See also: Ampatzds et al. (2017) n Bulletn Of Geologcal Socety of Greece, Vol 51, BENEFITS OF THE PROPOSED PROCEDURE Transforms the NOANET to HGRS87. We can assess the behavour of a classcal datum wth modern TRFs thanks to the Tme - Dependent transformaton and the veloctes of NOANET Tackles smlar geodetc problems n areas wth ntense geodynamc behavor. Provdes useful nformaton for daly end users. End users can valdate ther work on HGRS87 (whch s outdated but operatonal) due to sesmc actvty The NOANET can be used n the establshment of a new modern RF Ether as part of greater CORS GNSS network, or as an external valdaton source.

13 References Altamm, Z., L. Métver, and X. Collleux, ITRF2008 plate moton model, J. Geophys. Res.,117, B07402, do: /2011jb Altamm, Z., X. Collleux, and L. Metver, ITRF2008: an mproved soluton of the Internatonal Terrestral Reference Frame, Journal of Geodesy, do: /s Altamm, Z., P. Sllard, and C. Boucher, ITRF2000. A new release of the Internatonal Terrestral Reference Frame for Earth scence applcatons. Journal Geophys. Res., vol. 107, No B10, 2214, pp. 19 DOI: /2001JB Ampatzds, D., Kalamaks, N., Katsambalos, K., Expressng the NOANET GNSS network to the Hellenc Geodetc Reference System of 1987 (HGRS1987): A synergy Between Geodesy and Geodynamcs. Bulletn of the Geologcal Socety of Greece, vol51, p Chousants K., Ganas A., Papankolaou M., Argyraks P., Drakatos G. and Makropoulos K., 2013b. Tme seres analyss of the NOANET CGPS statons. Bulletn of the Geologcal Socety of Greece, vol. XLVII, No. 2, pp Ganas, A., G. Drakatos, S. Rontogann, C. Tsm, P. Petrou, M. Papankolaou, P. Argyraks, K. Boukouras, N. Mels and G. Stavrakaks, NOANET: The new permanent GPS Network for Geodynamcs n Greece. Geophyscal Research abstracts, Vol. 10, EGU2008-A Gubler E., Poder K., Hornk H. (Eds), Report on the Symposum of the IAG Subcommsson for the European Reference Frame (EUREF). Florence May 1990: Report. Katsambalos, K., Kotsaks, C. and Gannou, M., Hellenc terrestral reference system 2007 (HTRS07): a regonal realzaton of ETRS89 over Greece n support of HEPOS. Bulletn of Geodesy and Geomatcs, LXIX (2 3), pp Soler, T. and Snay, R., Transformng Postons and Veloctes between the Internatonal Terrestral Reference Frame of 2000 and North Amercan Datum of Journal of Surveyng Engneerng, Vol. 130, No. 2. DISCLAIMER: The ntal coordnates and veloctes for NOANET used n ths report are the offcally released and the authors used them as publshed, wthout any further valdaton or processng

14 Thank you for your attenton Questons - Dscusson