On the Accuracy Assessment of the Latest Releases of GOCE Satellite-Based Geopotential Models with EGM2008 and Terrestrial GPS/Levelling and Gravity Data over Egypt — Oak Academic Publishing
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On the Accuracy Assessment of the Latest Releases of GOCE Satellite-Based Geopotential Models with EGM2008 and Terrestrial GPS/Levelling and Gravity Data over Egypt
Construction Engineering and Utilities Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt
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National Research Institute of Astronomy and Geophysics (NRIAG), Helwan, Cairo, Egypt
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Construction Engineering and Utilities Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt
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Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
1 Construction Engineering and Utilities Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt
2 National Research Institute of Astronomy and Geophysics (NRIAG), Helwan, Cairo, Egypt
3 Construction Engineering and Utilities Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt
4 Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
The Global Geopotential Models (GGMs) of GOCE (Gravity Recovery and steady- state Ocean Circulation Explorer) differ globally as well as regionally in their accuracy and resolution based on the maximum degree and order (d/o) of the fully normalized spherical harmonic ( SH ) coefficients, which express each GGM. The main idea of this study is to compare the free-air gravity anomalies and quasi geoid heights determined from several recent GOCE-based GGMs with the corresponding ones from the Earth Gravitational Model 2008 (EGM2008) over Egypt on the one hand and with ground-based measurements on the other hand. The results regarding to the comparison of GOCE-based GGMs with terrestrial gravity and GPS/levelling data provide better improvement with respect to EGM2008. The 4th release GOCE-based GGM developed with the use of space-wise solution strategy (SPW_R4) approximates the gravity field well over the Egyptian region. The SPW_R4 model is accordingly suggested as a reference model for recovering the long wavelength (up to SH d/o 200) components of quasi geoid heights when modelling the gravimetric quasi-geoid over the Egypt. Finally, three types of transformation models : Four-, Five- and Seven-parameter transformations have been applied to reduce the data biases and to provide a better fitting of quasi geoid heights obtained from the studied GOCE-based GGMs to those from GPS/levelling data. These models reveal that the standard deviation of vertical datum over Egypt is at the level of about 32 cm.
ESA (1999) Gravity Field and Steady-State Ocean Circulation Explorer Mission. Report of European Space Agency for Mission Selection. The 4th Candidate Earth Explorer Core Missions, SP-1233, Nordwijk.
Gruber, T., Rummel, R. and HPF Team (2014) GOCE Gravity Field Models—Overview and Performance Analysis. 5th International GOCE User Workshop, Paris, 25-29 November 2014.
Rummel, R., Gruber, T. and Koop, R. (2004) High Level Processing Facility for GOCE: Products and Processing Strategy, 2nd International GOCE User Workshop “GOCE, The Geoid and Oceanography”, Frascati, 8-10 March 2004, ESA SP-569.
Pail, R., Bruinsma, S., Migliaccio, F., Forste, C., Goiginger, H., Schuh, W.-D., Hock, E., Reguzzoni, M., Brockmann, J.-M., Abrikosov, O., Veicherts, M., Fecher, T., Mayrhofer, R., Krasbutter, I., Sansò, F. and Tscherning, C.C., (2011) First GOCE Gravity Field Models Derived by Three Different Approaches. Journal of Geodesy, 85, 845-860. https://doi.org/10.1007/s00190-011-0467-x
Bruinsma, S.L., Marty, J.C., Balmino, G., Biancale, R., Forste, C., Abrikosov, O. and Neumayer, H. (2010) GOCE Gravity Field Recovery by Means of the Direct Numerical Method. The ESA Living Planet Symposium, Bergen, 28 June-2 July 2010.
Pail, R., Goiginger, H., Mayrhofer, R., Schuh, W.-D., Brockmann, J.M., Krasbutter, I., Hoeck, E. and Fecher, T. (2010) GOCE Gravity Field Model Derived from Orbit and Gradiometry Data Applying the Time-Wise Method. The ESA Living Planet Symposium, Bergen, 28 June-2 July 2010.
Migliaccio, F., Reguzzoni, M., Sanso, F., Tscherning, C.C. and Veicherts, M. (2010) GOCE Data Analysis: The Space-Wise Approach and the First Space-Wise Gravity Field Model. The ESA Living Planet Symposium, Bergen, 28 June-2 July 2010.
Pail, R., Goiginger, H., Schuh, W.-D., Hock, E., Brockmann, J.M., Fecher, T., Gruber, T., Mayer-Gürr, T., Kusche, J., Joggi, A. and Rieser, D. (2010) Combined Satellite Gravity Field Model GOCO01S Derived from GOCE and GRACE. Geophysical Research Letters, 37, Article ID: L20314.
Forste, C., Bruinsma, S.L., Shako, R., Marty, J.C., Flechtner, F., Abrikosov, O., Dahle, C., Lemoine, J.M., Neumayer, K.H., Biancale, R., Barthelmes, F., Konig, R. and Balmino, G. (2011) EIGEN-6—A New Combined Global Gravity Field Model Including GOCE Data from the Collaboration of GFZ Potsdam and GRGS-Toulouse. Geophysical Research Abstracts, Vol. 13, EGU2011-3242-2, EGU General Assembly, Vienna.
Forste, C., Bruinsma, S.L., Flechtner, F., Marty, J.C., Lemoine, J.M., Dahle, C., Abrikosov, O., Neumayer, K.H., Biancale, R., Barthelmes, F. and Balmino, G. (2012) A Preliminary Update of the Direct Approach GOCE Processing and a New Release of EIGEN-6C. AGU Fall Meeting 2012, San Francisco, USA, 3-7 December 2012, Abstract No. G31B-0923.
Forste, C., Bruinsma, S., Abrykosov, O., Flechtner, F., Marty, J.-C., Lemoine, J.-M., Dahle, C., Neumayer, K.-H., Barthelmes, F., Konig, R. and Biancale, R. (2014) EIGEN-6C4—The Latest Combined Global Gravity Field Model Including GOCE Data up to Degree and Order 1949 of GFZ Potsdam and GRGS Toulouse. Geophysical Research Abstracts, Vol. 16, EGU2014-3707, General Assembly European Geosciences Union, Vienna.
Farahani, H., Ditmar, P., Klees, R., Liu, X., Zhao, Q. and Guo, J. (2013) The Static Gravity Field Model DGM-1S from GRACE and GOCE Data: Computation, Validation and an Analysis of GOCE Mission’s Added Value. Journal of Geodesy, 87, 843-867. https://doi.org/10.1007/s00190-013-0650-3
Schall, J., Eicker, A. and Kusche, J. (2014) The ITG-Goce02 Gravity Field Model from GOCE Orbit and Gradiometer Data Based on the Short Arc Approach. Journal of Geodesy, 88, 403-409. https://doi.org/10.1007/s00190-014-0691-2
Gruber, T., Visser, P.N.A.M., Ackermann, C. and Hosse, M. (2011) Validation of GOCEgravity Field Models by Means of Orbit Residuals and Geoid Comparisons. Journal of Geodesy, 85, 845-860. https://doi.org/10.1007/s00190-011-0486-7
Yi, W. and Rummel, R. (2014) A Comparison of GOCE Gravitational Models with EGM2008. Journal of Geodynamics, 73, 14-22. https://doi.org/10.1016/j.jog.2013.10.004
Hirt, C., Gruber, T. and Featherstone, W.E. (2011) Evaluation of the First GOCE Static Gravity Field Models Using Terrestrial Gravity, Vertical Deflections and EGM2008 Quasigeoid Heights. Journal of Geodesy, 85, 723-740. https://doi.org/10.1007/s00190-011-0482-y
Voigt, C., Rülke, A., Denker, H., Ihde, J. and Liebsch, G. (2010) Validation of GOCE Products by Terrestrial Data Sets in Germany. In: Observation of the System Earth from Space, Geotechnologien Science Report No. 17, 106-111.
Voigt, C. and Denker, H. (2014) Regional Validation and Combination of GOCE Gravity Field Models and Terrestrial Data. In: Flechtner, F., Sneeuw, N. and Schuh, W.-D., Eds., Observation of the System Earth from Space, Geotechnologien Science Report No. 20, Springer, Berlin, 139-145. https://doi.org/10.1007/978-3-642-32135-1_18
Janák, J. and Pitonák, M. (2011) Comparison and Testing of GOCE Global Gravity Models in Central Europe. Journal of Geodetic Science, 1, 333-347. https://doi.org/10.2478/v10156-011-0010-2
Godah, W. and Krynski, J. (2012) Validation of GOCE Geopotential Models over Poland Using the EGM2008 and GPS/Levelling Data. Geoinformation Issues, 3, 5-17.
Sprlák, M., Gerlach, C. and Pettersen, B. (2012) Validation of GOCE Global Gravity Field Models Using Terrestrial Gravity Data in Norway. Journal of Geodetic Science, 2, 134-143. https://doi.org/10.2478/v10156-011-0030-y
Guimaraes, G., Matos, A. and Blitzkow, D. (2012) An Evaluation of Recent GOCE Geopotential Models in Brazil. Journal of Geodetic Science, 2, 144-155. https://doi.org/10.2478/v10156-011-0033-8
Abdalla, A., Fashir, H.H., Ali, A. and Fairhead, D. (2012) Validation of Recent GOCE/ GRACE Geopotential Models Over Khartoum State—Sudan. Journal of Geodetic Sciences, 2, 88-97. https://doi.org/10.2478/v10156-011-0035-6
Godah, W. and Krynski, J. (2015) Comparison of GGMs Based on one Year GOCE Observations with the EGM2008 and Terrestrial Data over the Area of Sudan. International Journal of Applied Earth Observation & Geoinformation, 35, 128-135. https://doi.org/10.1016/j.jag.2013.11.003
Elsaka, B., Alothman, A. and Godah, W. (2015) On the Contribution of GOCE Satellite- Based GGMs to Improve GNSS/Levelling Geoid Heights Determination in Saudi Arabia. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 9, 1-10. https://doi.org/10.1109/JSTARS.2015.2495193
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, 117, 1-38. https://doi.org/10.1029/2011jb008916
Tapley, B., Ries, J., Bettadpur, S., Chambers, D., Cheng, M., Condi, F., Gunter, B., Kang, Z., Nagel, P., Pastor, R., Pekker, T., Poole, S. and Wang, F. (2005) GGM02—An Improved Earth Gravity Field Model from GRACE. Journal of Geodesy, 79, 467-478. https://doi.org/10.1007/s00190-005-0480-z
Lemoine, F.G., Kenyon, S.C., Factor, J.K., Trimmer, R.G., Pavlis, N.K., Chinn, D.S., Cox, C.M., Klosko, S.M., Luthcke, S.B., Torrence, M.H., Wang, Y.M., Williamson, R.G., Pavlis, E.C., Rapp, R.H. and Olson, T.R. (1998) The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) Geopotential Model EGM96. NASA Tech. Publ. TP-1998-206861, Goddard Space Flight Center, Greenbelt.
Merry, C. (2009) EGM2008 Evaluation for Africa. Newton’s Bulletin Issue No. 4.
Dawod, G. (2008) Towards the Redefinition of the Egyptian Geoid: Performance Analysis of Recent Global Geoid and Digital Terrain Models. Journal of Spatial Science, 53, 31-42. https://doi.org/10.1080/14498596.2008.9635133
Bruinsma, S., et al. (2013) The New ESA Satellite—Only Gravity Field Model via the Direct Approach. Geophysical Research Letters, 40, 3607-3612. https://doi.org/10.1002/grl.50716
Brockmann, J.M., Zehentner, N., Hock, E., Pail, R., Loth, I., Mayer-Gürr, T. and Schuh, W.-D. (2014) EGM-TIM-RL05: An Independent Geoid with Centimeter Accuracy Purely Based on the GOCE Mission. Geophysical Research Letters, 41, 8089-8099. https://doi.org/10.1002/2014GL061904
Gatti, A., Reguzzoni, M., Migliaccio, F. and Sansò, F. (2014) Space-Wise Grids of Gravity Gradients from GOCE Data at Nominal Satellite Altitude. 5th International GOCE User Workshop, Paris, 25-28 November 2014.
Dawod, G. (1998) A National Gravity Standardization Network for Egypt. PhD Dissertation, Faculty of Engineering at Shoubra, Zagazig University, Zagazig.
Kaula, W.M. (1966) Theory of Satellite Geodesy. Blaisdell Puplishing Company, Waltham, Republished 2000 by Dover Puplications Inc., Mineola.
Heiskanen, W.A. and Moritz, H. (1967) Physical Geodesy. W.H. Freeman and Company, San Francisco.
Torge, W. and Müller, J. (2012) Geodesy. 4th Edition, Walter de Gruyter, Berlin. https://doi.org/10.1515/9783110250008
Mayer-Gürr, T., Rieser, D., Hock, E., Brockmann, J.M., Schuh, W.-D., Krasbutter, I., Kusche, J., Maier, A., Krauss, S., Hausleitner, W., Baur, O., Joggi, A., Meyer, U., Prange, L., Pail, R., Fecher, T. and Gruber, T. (2012) The New Combined Satellite Only Model GOCO03s. IAG Symposium Gravity, Geoid and Height Systems (GGHS), Venice, 8-12 October 2012.
Rummel, R. (2010) GOCE: Gravitational Gradiometry in a Satellite. In: Freeden, W., Nashed, F.M.Z. and Sonar, T., Eds., Handbook of Geomathematics, Vol. 2, Springer, Berlin, 93-103. https://doi.org/10.1007/978-3-642-01546-5_4
Forsberg, R. (1984) A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling. Report 355, Department of Geodetic Science and Surveying, Ohio State University, Columbus.
Gruber, T. (2009) Evaluation of the EGM2008 Gravity Field by Means of GPS-Levelling and Sea Surface Topography Solutions. External Evaluation Reports of EGM2008, Newton’s Bulletin, No. 4, 3-17.
Kotsakis, C. and Sideris, M.G. (1999) On the Adjustment of Combined GPS/Levelling/ Geoid Networks. Journal of Geodesy, 73, 412-421. https://doi.org/10.1007/s001900050261
Fotopoulos, G. (2003) An Analysis on the Optimal Combination of Geoid, Orthometric and Ellipsoidal Height Data. UCGE Reports No. 20185, PhD Thesis, Department of Geomatics Engineering, University of Calgary, Calgary.
Wessel, P., Smith, W.H.F., Scharroo, R., Luis, J.F. and Wobbe, F. (2013) Generic Mapping Tools: Improved Version Released. Eos, Transactions, American Geophysical Union, 94, 409-410. https://doi.org/10.1002/2013EO450001