Determination of local geometric geoid model for Kuwait

References

[1] B. Hofmann-Wellenhof and H. Moritz, Physical Geodesy. Springer Science and Business Media, 2006.Search in Google Scholar

[2] W. Torge and J. Müller, Geodesy. Walter de Gruyter, 2012.10.1515/9783110250008Search in Google Scholar

[3] F. Sansò and M. G. Sideris, Geoid determination: theory and methods. Springer Science and Business Media, 2013.10.1007/978-3-540-74700-0Search in Google Scholar

[4] A. Zaki and S. Mogren, “A high-resolution gravimetric geoid model for Kingdom of Saudi Arabia,” Surv. Rev., pp. 1–16, 2021, doi: 10.1080/00396265.2021.1944544.Search in Google Scholar

[5] H. Al-Ajami, A. Zaki, M. Rabah, and M. El-Ashquer, “A High-Resolution Gravimetric Geoid Model for Kuwait Using the Least-Squares Collocation,” Front. Earth Sci., vol. 9, 2022, doi: 10.3389/feart.2021.753269.Search in Google Scholar

[6] Y. M. Wang, J. Saleh, X. Li, and D. R. Roman, “The US Gravimetric Geoid of 2009 (USGG2009): model development and evaluation,” J. Geod., vol. 86, no. 3, pp. 165–180, 2012, doi: 10.1007/s00190-011-0506-7.Search in Google Scholar

[7] J. Huang and M. Véronneau, “Canadian gravimetric geoid model 2010,” J. Geod., vol. 87, no. 8, pp. 771–790, 2013, doi: 10.1007/s00190-013-0645-0.Search in Google Scholar

[8] A. Saadon, M. El-Ashquer, B. Elsaka, and G. El-Fiky, “Determination of local gravimetric geoid model over Egypt using LSC and FFT estimation techniques based on different satellite-and ground-based datasets,” Surv. Rev., pp. 1–11, 2021.10.1080/00396265.2021.1932148Search in Google Scholar

[9] W. A. Heiskanen and H. Moritz, “Physical geodesy (Book on physical geodesy covering potential theory, gravity fields, gravimetric and astrogeodetic methods, statistical analysis, etc),” 1967.10.1007/BF02525647Search in Google Scholar

[10] W. Heiskanen and H. Moritz, “Physical Geodesy WH Freeman and Company San Francisco,” London Google Sch., 1967.10.1007/BF02525647Search in Google Scholar

[11] A. Zaki, “Assessment of GOCE models in Egypt,” Master Thesis, Faculty of engineering, Cairo university, Egypt, 2015.Search in Google Scholar

[12] M. El-Ashquer, B. Elsaka, and G. El-Fiky, “EGY-HGM2016: an improved hybrid local geoid model for Egypt based on the combination of GOCE-based geopotential model with gravimetric and GNSS/levelling measurements,” Arab. J. Geosci., vol. 10, no. 11, p. 251, 2017, doi: 10.1007/s12517-017-3042-9.Search in Google Scholar

[13] M. R. Kaloop, S. Pijush, M. Rabah, H. Al-Ajami, J. W. Hu, and A. Zaki, “Improving accuracy of local geoid model using machine learning approaches and residuals of GPS/levelling geoid height,” Surv. Rev., pp. 1–14, Aug. 2021, doi: 10.1080/00396265.2021.1970918.Search in Google Scholar

[14] M. R. Kaloop, M. Rabah, J. W. Hu, and A. Zaki, “Using advanced soft computing techniques for regional shoreline geoid model estimation and evaluation,” Mar. Georesources Geotechnol., vol. 36, no. 6, pp. 688–697, 2018.10.1080/1064119X.2017.1370622Search in Google Scholar

[15] M. R. Kaloop, A. Zaki, H. Al-Ajami, and M. Rabah, “Optimizing local geoid Undulation model using GPS/levelling measurements and heuristic regression approaches,” Surv. Rev., vol. 52, no. 375, pp. 544–554, 2020.10.1080/00396265.2019.1665615Search in Google Scholar

[16] B. Erol and R. N. Çelik, “Modelling Local Gps/Levelling Geoid With the Assesstment of Inverse Distance Weighting and Geostatistical Kriging Methods,” Civ. Eng., 2000.Search in Google Scholar

[17] H.-J. Götze, “Gravity Method, Principles,” in Encyclopedia of Solid Earth Geophysics, H. K. Gupta, Ed. Dordrecht: Springer Netherlands, 2011, pp. 500–504. doi: 10.1007/978-90-481-8702-7_93.Search in Google Scholar

[18] K. P. Schwarz, “Data types and their spectral properties,” Local gravity F. Approx. Beijing Int. Geoid Determ. Summer Sch., 1984.Search in Google Scholar

[19] Y. Zhan-ji and C. Yong-qi, “Determination of local geoid with geometric method: Case study,” J. Surv. Eng., vol. 125, no. 3, pp. 136–146, 1999.10.1061/(ASCE)0733-9453(1999)125:3(136)Search in Google Scholar

[20] D. E. Watson, “Contouring: A Guide to the Analysis and Display of Spatial Data, Tarrytown, NY.” Pergamon (Elsevier Science, Inc.), 1992.Search in Google Scholar

[21] D. Kidner, M. Dorey, and D. Smith, “What’s the point? Interpolation and extrapolation with a regular grid DEM,” 1999.Search in Google Scholar

[22] W. Harlan, “Avoiding interpolation artifacts in Stolt migration,” SEP-30 Stanford Explor. Proj., vol. 30, pp. 103–110, 1982.Search in Google Scholar

[23] M. Yanalak and O. Baykal, “Digital elevation model based volume calculations using topographical data,” J. Surv. Eng., vol. 129, no. 2, pp. 56–64, 2003.10.1061/(ASCE)0733-9453(2003)129:2(56)Search in Google Scholar

[24] G. Petrie and T. J. M. Kennie, “Terrain modelling in surveying and civil engineering,” Comput. Des., vol. 19, no. 4, pp. 171–187, 1987.10.1016/0010-4485(87)90066-2Search in Google Scholar

[25] N. Cressie, C. A. Gotway, and M. O. Grondona, “Spatial prediction from networks,” Chemom. Intell. Lab. Syst., vol. 7, no. 3, pp. 251–271, 1990.10.1016/0169-7439(90)80115-MSearch in Google Scholar

[26] S. Golden, “Surfer 8 contouring and 3D surface mapping for scientists and engineers user’s guide. Golden Software,” Inc., Color. USA, www.goldensoftware.com, 2002.Search in Google Scholar

[27] I. C. Briggs, “Machine contouring using minimum curvature,” Geophysics, vol. 39, no. 1, pp. 39–48, 1974.10.1190/1.1440410Search in Google Scholar

[28] W. H. F. Smith and P. Wessel, “Gridding with continuous curvature splines in tension,” Geophysics, vol. 55, no. 3, pp. 293–305, 1990.10.1190/1.1442837Search in Google Scholar

[29] C. U. I. Fangpeng, H. U. Ruilin, L. I. U. Zhaolian, and Y. U. Wenlong, “Surfer Software Platform Based Complex Three-Dimensional Geological Digital Models for Pre-Processing of FLAC3D,” 工程地质学报, vol. 16, no. 5, pp. 699–702, 2008.Search in Google Scholar

[30] C. P. Oden and C. Moulton, GP workbench manual: Technical manual, user’s guide, and software guide. US Geological Survey, 2006.10.3133/ofr20061365Search in Google Scholar

[31] I. Golden Software, “Surfer User’s Guide,” Golden Software, Inc., p. 665, 2002.Search in Google Scholar

[32] G. Software, “Full User’s Guide,” 2015.Search in Google Scholar

[33] B. D. Ripley, Statistical inference for spatial processes. Cambridge university press, 1991.Search in Google Scholar

[34] R. Webster and M. A. Oliver, Geostatistics for environmental scientists. John Wiley & Sons, 2007.10.1002/9780470517277Search in Google Scholar

[35] P. Burrough and R. McDonnell, “Spatial information systems and geostatistics,” Princ. Geogr. Inf. Syst., vol. 333, 1998.Search in Google Scholar

[36] L. Brutman, “Lebesgue functions for polynomial interpolation-a survey,” Ann. Numer. Math., vol. 4, pp. 111–128, 1996.Search in Google Scholar

[37] E. Süli and D. F. Mayers, An introduction to numerical analysis. Cambridge university press, 2003.10.1017/CBO9780511801181Search in Google Scholar

[38] R. L. Hardy, “Theory and applications of the multiquadric-biharmonic method 20 years of discovery 1968–1988,” Comput. Math. with Appl., vol. 19, no. 8–9, pp. 163–208, 1990.10.1016/0898-1221(90)90272-LSearch in Google Scholar

[39] M. J. D. Powell, “The theory of radial basis function approximation in 1990,” Adv. Numer. Anal., pp. 105–210, 1992.10.1093/oso/9780198534396.003.0003Search in Google Scholar

[40] R. E. Carlson and T. A. Foley, “The parameter R2 in multiquadric interpolation,” Comput. Math. with Appl., vol. 21, no. 9, pp. 29–42, 1991.10.1016/0898-1221(91)90123-LSearch in Google Scholar

[41] R. J. Renka, “Multivariate interpolation of large sets of scattered data,” ACM Trans. Math. Softw., vol. 14, no. 2, pp. 139–148, 1988.10.1145/45054.45055Search in Google Scholar

[42] R. Franke and G. Nielson, “Smooth interpolation of large sets of scattered data,” Int. J. Numer. Methods Eng., vol. 15, no. 11, pp. 1691–1704, 1980.10.1002/nme.1620151110Search in Google Scholar

[43] C. L. Lawson, “Software for C1 surface interpolation,” Mathematical software, Elsevier, 1977, pp. 161–194.10.1016/B978-0-12-587260-7.50011-XSearch in Google Scholar

[44] D.-T. Lee and B. J. Schachter, “Two algorithms for constructing a Delaunay triangulation,” Int. J. Comput. Inf. Sci., vol. 9, no. 3, pp. 219–242, 1980.10.1007/BF00977785Search in Google Scholar

[45] L. Guibas and J. Stolfi, “Primitives for the manipulation of general subdivisions and the computation of Voronoi,” ACM Trans. Graph., vol. 4, no. 2, pp. 74–123, 1985.10.1145/800061.808751Search in Google Scholar

[46] R. Sibson, “A brief description of natural neighbour interpolation,” Interpret. Multivar. data, 1981.Search in Google Scholar

[47] S. J. Owen, “An implementation of natural neighbor interpolation in three dimensions.” Brigham Young University, Department of Engineering, 1992.Search in Google Scholar

[48] D. Watson, nngridr: An implementation of natural neighbor interpolation. D. Watson, 1994.Search in Google Scholar

[49] N. Sukumar, B. Moran, A.Yu. Semenov, and V.V. Belikov, “Natural neighbour Galerkin methods,” Int. J. Numer. Methods Eng., vol. 50, no. 1, pp. 1–27, 2001.10.1002/1097-0207(20010110)50:1<1::AID-NME14>3.0.CO;2-PSearch in Google Scholar

[50] M. Yanalak, “Effect of gridding method on digital terrain model profile data based on scattered data,” J. Comput. Civ. Eng., vol. 17, no. 1, pp. 58–67, 2003.10.1061/(ASCE)0887-3801(2003)17:1(58)Search in Google Scholar

[51] G.-F. Gu and W.-X. Zhou, “Detrending moving average algorithm for multifractals,” Phys. Rev. E, vol. 82, no. 1, p. 11136, 2010.10.1103/PhysRevE.82.011136Search in Google Scholar

[52] P. Lanos, M. Le Goff, M. Kovacheva, and E. Schnepp, “Hierarchical modelling of archaeomagnetic data and curve estimation by moving average technique,” Geophys. J. Int., vol. 160, no. 2, pp. 440–476, 2005.10.1111/j.1365-246X.2005.02490.xSearch in Google Scholar

[53] M. El-Ashquer, H. Al-Ajami, A. Zaki, and M. Rabah, “Study on the selection of optimal global geopotential models for geoid determination in Kuwait,” Surv. Rev., vol. 52, no. 373, pp. 373–382, 2020.10.1080/00396265.2019.1611256Search in Google Scholar

[54] M. Rabah, “Using RTK tides on the northern coast of Egypt: Undulation model corrections from EGM2008,” Civ. Eng. Surv. Sept., pp. 43–47, 2009.Search in Google Scholar

[55] M. Werner, “Shuttle radar topography mission (SRTM) mission overview,” Frequenz, vol. 55, no. 3–4, pp. 75–79, 2001.10.1515/FREQ.2001.55.3-4.75Search in Google Scholar

[56] C. J. Olson, J. J. Becker, and D. T. Sandwell, “A new global bathymetry map at 15 arcsecond resolution for resolving seafloor fabric: SRTM15_PLUS,” AGU Fall Meeting Abstracts, 2014, vol. 2014, OS34A-03.Search in Google Scholar

[57] M. R. Drinkwater, R. Floberghagen, R. Haagmans, D. Muzi, and A. Popescu, “VII: Closing session: GOCE: ESA’s first earth explorer core mission,” Space Sci. Rev., vol. 108, no. 1, pp. 419–432, 2003.10.1023/A:1026104216284Search in Google Scholar

[58] P. J. Yeh, S. C. Swenson, J. S. Famiglietti, and M. Rodell, “Remote sensing of groundwater storage changes in Illinois using the Gravity Recovery and Climate Experiment (GRACE),” Water Resour. Res., vol. 42, no. 12, 2006.10.1029/2006WR005374Search in Google Scholar

[59] C. Reigber, P. Schwintzer, and H. Lühr, “The CHAMP geopotential mission,” Boll. Geof. Teor. Appl., vol. 40, pp. 285–289, 1999.Search in Google Scholar

[60] S. M. Hoover, L. S. Clark, D. F. Alters, L. Hood, and J. G. Champ, Media, home, and family. Psychology Press, 2004.Search in Google Scholar

[61] A. Gatti, M. Reguzzoni, F. Migliaccio, and F. Sansò, “Computation and assessment of the fifth release of the GOCE-only space-wise solution,” The 1st joint commission 2 and IGFS meeting, 2016, pp. 19–23.Search in Google Scholar

[62] N. K. Pavlis, S. A. Holmes, S. C. Kenyon, and J. K. Factor, “The EGM2008 global gravitational model,” AGU Fall Meeting Abstracts, 2008, vol. 2008, G22A-01.10.1190/1.3063757Search in Google Scholar

[63] N. Srinivas et al., “Gravimetric geoid of a part of south India and its comparison with global geopotential models and GPS-levelling data,” J. earth Syst. Sci., vol. 121, no. 4, pp. 1025–1032, 2012.10.1007/s12040-012-0205-7Search in Google Scholar

[64] C. Tocho and G. S. Vergos, “Assessment of different-generation GOCE-only and GOCE/GRACE Earth Global Gravity Models over Argentina using terrestrial gravity anomalies and GPS/Levelling data,” Newton’s Bull., vol. 5, pp. 105–126, 2015.Search in Google Scholar

[65] R. Forsberg, A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modelling, Ohio State University. Dept of Geodetic Science and Surveying. Report No. OSU/DGSS-355, 1984.10.21236/ADA150788Search in Google Scholar

[66] R. Forsberg and C. C. Tscherning, “GRAVSOFT,” Geod. gravity F. Model. programs (overview manual), 2008.Search in Google Scholar