International Journal of Engineering Technology and Scientific Innovation
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Title:
PRECISE LOCAL GEOID DEFINITION CASE STUDY: NISYROS ISLAND IN GREECE

Authors:
Evangelia Lambrou

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Evangelia Lambrou
Laboratory of General Geodesy, School of Rural and Surveying Engineering, National Technical University of Athens, 15780, Greece

MLA 8
Lambrou, Evangelia. "PRECISE LOCAL GEOID DEFINITION CASE STUDY: NISYROS ISLAND IN GREECE." IJETSI, vol. 3, no. 2, Mar.-Apr. 2018, pp. 107-121, ijetsi.org/more2018.php?id=9. Accessed 2018.
APA
Lambrou, E. (2018, March/April). PRECISE LOCAL GEOID DEFINITION CASE STUDY: NISYROS ISLAND IN GREECE. IJETSI, 3(2), 107-121. Retrieved from ijetsi.org/more2018.php?id=9
Chicago
Lambrou, Evangelia. "PRECISE LOCAL GEOID DEFINITION CASE STUDY: NISYROS ISLAND IN GREECE." IJETSI 3, no. 2 (March/April 2018), 107-121. Accessed , 2018. ijetsi.org/more2018.php?id=9.

References
[1].Pavlis, N.K., Holmes, S.A., Kenyon, S.C. and Factor, J.K. (2008). An Earth Gravitational Model to Degree 2160: EGM2008, Proceedings of the 2008 General Assembly of the European Geosciences Union, 13-18, Vienna, Austria.
[2].Pavlis, N.K., Holmes, S.A., Kenyon, S.C. and Factor, J.K. (2012) The Development and Evaluation of the Earth Gravitational Model 2008 (EGM2008), Journal of Geophysical Research: Solid Earth (1978-2012), 117(B4): 4406. http://earthinfo.nga.mil/GandG/wgs84/gravitym od/egm2008/
[3].Andritsanos VD, Arabatzi O, Gianniou M, Pagounis V, Tziavos IN, Vergos GS, Zachris E (2015) Comparison of Various GPS Processing Solutions toward an Efficient Validation of the Hellenic Vertical Network: The ELEVATION Project. J Surv Eng, doi: 10.1061/(ASCE)SU.1943- 5428.0000164, 04015007.
[4].Andritsanos V.D., Grigoriadis V.N., Natsiopoulos D.A., Vergos G.S., Gruber T., Fecher T. (2017) GOCE Variance and Covariance Contribution to Height System Unification. In: International Association of Geodesy Symposia. Springer, Berlin, Heidelberg.
[5].Vergos G.S., Andritsanos V.D., Grigoriadis V.N., Pagounis V., Tziavos I.N. (2015) Evaluation of GOCE/GRACE GGMs Over Attica and Thessaloniki, Greece, and Wo Determination for Height System Unification. In: Jin S., Barzaghi R. (eds) IGFS 2014. International Association of Geodesy Symposia, vol 144. Springer, Cham.
[6].Vergos, G.S., Erol, B., Natsiopoulos, D.A. Preliminary results of GOCEbased height system unification between Greece and Turkey over marine and land areas Acta Geod Geophys (2018) 53: 61. https://doi.org/10.1007/s40328-017- 0204-x.
[7].Soycan M. (2013) Analysis of geostatistical surface model for gps height transformation: a case study in Izmir territory of Turkey.702Geodetski vestnik 57/4.
[8].Vanicek, P., and A. Kleusberg (1987). The Canadian geoid- Stokesian approach. Manuscripta Geodaetica 12, 86-98.
[9].Li Y. C., Sideris M.G. (1994). Minimization and estimation of geoid undulation errors. Bulletin Geodesique 68:201-219
[10]. Toth, Gy., Rozsa, Sz., Andritsanos, V.D., Adam, J., Tziavos, I.N., (2000). Towards a cm-Geoid for Hungary: Recent Efforts and Results. Phys. Chem. Earth (A), 25:1:47-52
[11]. Kuhtreiber N. (2002). High Precision Geoid Determination of Austria Using Heterogeneous Data. International Association of Geodesy. Section III - Determination of the Gravity Field. 3rd Meeting of the International Gravity and Geoid Commission. Gravity and Geoid 2002 - GG2002. ed. I.N. Tziavos (144-151)
[12]. Chen Y., Luo Z., Kwok S. (2003). Precise Hong Kong Geoid HKGEOID-2000. Journal of Geospatial Engineering, Vol. 5, No. 2, pp. 35-41.
[13]. Soycan, M., (2006). Determination of Geoid Heights by GPS and Precise Trigonometric Levelling. Survey Review 38-299, 387-396.
[14]. Abbak R.A., Sjoberg L.E., Ellmann A., Ustun A. (2012). A precise gravimetric geoid model in a mountainous area withscarce gravity data: a case study in central Turkey. Studia Geophysica et Geodaetica. 56- 4, 909-927.
[15]. Ollikainen M. (1997). Determination Of Orthometric Heights Using GPS Levelling Publications of the Finnish Geodetic Institute' KirkkonummI.
[16]. Kiamehr, R. and Sjoberg, L.E. (2005). Comparison of the qualities of recent global and local gravimetric geoid model in Iran. Studia Geophysica et Geodaetica, 49: 289-304.
[17]. Benahmed Dahoa, S.A., Kahlouchea, S., Fairhead, J.D. (2006). A procedure for modeling the differences between the gravimetric geoid model and GPS/leveling data with an example in the north part of Algeria. Computers & Geosciences 32, 1733- 1745.
[18]. Featherstone, W. E., Sproule, D. M. (2006). Fitting Ausgeoid98 to the Australian height datum using GPS-leveling and least squares collocation: application of a crossvalidation technique. Survey Review 38-301, 574-582.
[19]. Kotsakis, C., Katsambalos, K. (2010). Quality analysis of global geopotential models at 1542 GPS/leveling benchmarks over the Hellenic mainland. Survey Review 42-318, 327-344.
[20]. Erol, B., Erol, S., Celik, R. N. (2008). Height transformation using regional geoids and GPS/leveling in Turkey, Survey Review, 40-307, 2- 18.
[21]. Soycan, M., Soycan A., (2003). Surface Modeling for GPSLeveling Geoid Determination. International Geoid Service 1-1, 41- 51.
[22]. Stopar B, Ambrozic T, Kuhar M, Turk G (2000). Artificial neural network collocation method for local geoid height determination.Proc IAG Int Sym Gravity, Geoid and Geodynamics 2000, Banff, Canada, CD-Rom
[23]. Kavzoglu T, Saka MH (2005). Modelling Local GPS/Levelling Geoid Undulations Using Artificial Neural Networks, J. Geodesy, 78: 520-527.
[24]. Kuhar M., Stopar B., Turk G., Ambrozyicy T. (2001). The use of artificial neural network in geoid surface approximation. AVN 2001, pp. 22-27.
[25]. Kutoglu HS (2006). Artificial neural networks versus surface polynomials for determination of local geoid, 1st International Gravity Symposium, Istanbul.
[26]. Kraus K. and Mikhail E.M. (1972). Linear Least-Squares Interpolation 12. Congress of the International Society of Photogrammetry, Ottawa, Canada, July 23-August 5.
[27]. Miller C.L. and Laflamme R. A. (1958). The Digital Terrain Model Theory and Application, Presented at the Society's 24. Annual Meeting, Hotel Shoreham, Washington, D.C March 27.
[28]. Schut G.H. (1976). Review of Interpolation Methods for Digital Terrain Models. The Canadian Surveyor, Vol. 30. No. 5,
[29]. https://www.positioningsoluti ons.com/Trimble/product_specs/580 0specs.pdf
[30]. Lambrou E. (2007) Accurate height difference determination using reflect or less total stations (in Greek). Technika Chronika Sci J Tech Chamber Greece 1-2:37-46
[31]. Lambrou E, Pantazis G. (2007). A convenient method for accurate height differences determination. In: Proceedings of the 17th International Symposium on Modern technologies, education and professional practice in Geodesy and related fields, Sofia, pp 45-53
[32]. http://www.toposurvey.ro/sec undare/Leica/Leica_TPS1200+_Tec hnicalData_en.pdf
[33]. http://surveyequipment.com/a ssets/index/download/id/220/
[34]. Takos I. (1989). New adjustment of the national geodetic networks in Greece (in Greek). Bull Hellenic Mil Geogr Serv 49(136):19-93.
[35]. Gianniou, M. (2009). National Report of Greece to EUREF 2009, EUREF 2009 Symposium, May 27-30 2009, Florence, Italy.
[36]. Ekman M (1989) Impacts of geodynamic phenomena on systems for height and gravity. Bull Geod 63:281-296
[37]. Makinen J, Ihde J (2009). The permanent tide in height systems. IAG Symp Series, vol 133. Springer, Berlin 81-87
[38]. Antonopoulos A. (1999) Models of height systems of reference and their applications to the Hellenic area (in Greek). PhD Thesis, School of Rural and Surveying Engineering, National Technical University of Athens, Greece. [39]. Holmes SA, Pavlis NK (2006). A Fortran program for veryhigh degree harmonic synthesis (version 05/01/2006). Program manual and software code available at
[40]. http://earthinfo.nima.mil/GandG/wgs84/gravity mod/egm2008/
[41]. Heiskanen W, Moritz H (1967) Physical geodesy. WH Freeman, San Francisco
[42]. Grigoriadis V.N , Kotsakis C., Tziavos I.N. (2014). Estimation of the Reference Geopotential Value for the Local Vertical Datum of Continental Greece Using EGM08 and GPS/Leveling Data, 35(1), International Association of Geodesy Symposia, pp. 88-89
[43]. Tocho C., Vergos G.S (2015). Estimation of the geopotential value W0, for the local vertical datum of Argentina using EGM2008 and GPS/levelling data W0 LVD J Biomed Sci, 8 (5), pp. 395- 405
[44]. Amjadiparvar B., Rangelova E., Sideris M.G. (2016). The GBVP approach for vertical datum unification: recent results in North America J Geodesy, 90 (1), pp. 45- 63
[45]. Gerlach C., Rummel R. (2013). Global height system unification with GOCE: a simulation study on the indirect bias term in the GBVP approach J Geodesy, 87 (1), pp. 57-67
[46]. Rummel R., Teunissen P. (1988). Height datum definition, height datum connection and the role of the geodetic boundary value problem J Geodesy, 62 (4), pp. 477- 498
[47]. Rangelova E., Sideris M.G, Amjadiparvar B. et al (2015). Height datum unification by means of the GBVP approach using tide gauges VIII Hotine-Marussi Symposium on Mathematical Geodesy, 142, Springer International Publishing, pp. 121-129.
[48]. Kotsakis, C., Katsambalos, K., Abatzidis D. (2012). Estimation of the zero-height geopotential level W0 LVD in a local vertical datum from inversion of co-located GPS, leveling and geoid heights: a case study in the Hellenic islands, J Geodesy, 86 (6), pp. 423-439

Abstract:
The global geoid model EGM08 consists nowadays one of the best tools for quick transformation of geometric heights which provided by GNSS measurements to orthometric ones. Nevertheless there are some areas worldwide, where the adaptation of EGM08 is not satisfactory due to large terrain fluctuations (high mountains, spread islands etc.) or due to strong gravity anomalies. Moreover, the unification of vertical datums between the islands and mainland in Greece as well as between adjacent countries remains a main goal which is mainly supported by satellite gravity missions, e.g., the CHAMP, GRACE and GOCE satellites in order to produce accurate and reliable GGMs. Thus, the determination of accurate (under cm) orthometric heights via the geometric ones is required by the demanding infrastructure and monitoring projects. It is well known that geometric heights are easily obtained by GNSS measurements, while the orthometric ones are extremely demanding in time and staff in order to be determined by some mm accuracy. This study applies a simultaneous measurement project of orthometric and geometric height differences in order to assess in terms of time and cost, the calculation of a precise (under cm) local geoid on Nisyros island- Greece. Nisyros Island is located at the southeast edge of the Aegean Sea. A 13 benchmarks (BMs) network was properly spread on the island. GNSS measurements were carried out by the relative static positioning method. The orthometric height differences between BMs were measured by the method of Accurate Trigonometric Heighting. The orthometric and geometric height of each benchmark (BM) was determined with +_6mm and +_10mm respectively by applying least square adjustments. The best adaptation equation is determined for the local geoid undulation. Additionally the corresponding values of the geoid undulation N were calculated by the EGM08 as well as a reduction equation. Moreover the zero-level geopotential value (Wo) of the island, has been determined and be compared to the corresponding ones of the neighboring to Nisyros Hellenic islands and the Greek Vertical Datum (GVD).