Methodology of Local Geoid Improvement Using Least-Squares Collocation with Parameters and an Optimal Covariance Function
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Creator Khetsophon Phinyo, Puttipol Dumrongchai, Chawis Srimanee, Boonsap Witchayangkoon
Title Methodology of Local Geoid Improvement Using Least-Squares Collocation with Parameters and an Optimal Covariance Function
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Publisher TuEngr Group
Publication Year 2564
Journal Title International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
Journal Vol. 12
Journal No. 5
Page no. 12A5U: 1-10
Keyword Geoid, GNSS, Least-Squares Collocation, Leveling, THAI17G, Airborne gravity data, Geoid undulation, Local geoid model, Orthometric height, Gravimetric geoid model.
URL Website http://TuEngr.com/Vol12_5.html
Website title ITJEMAST V12(5) 2021 @ TuEngr.com
ISSN 2228-9860
Abstract The local geoid model of Thailand, THAI17G, developed in the corroboration project between the Royal Thai Survey and Chiang Mai University, relied on terrestrial and airborne gravitational data during 2015 2017. We evaluated the model using the 100 GNSS/Levelling control stations, showing the standard deviation of height accuracy at (+/-)5.8cm. The height determination in Thailand referred to the mean sea level at the Ko Lak vertical datum. To align THAI17G with the orthometric height determination from GNSS, we required a conversion surface that connected THAI17G to Ko Lak 1915 vertical datum using 299 GNSS/Leveling stations. This research aims to study the least-squares collocation (LSC) with parameters as the surface conversion technique for geoid model improvement. LSC with parameters is an interpolation method that properly integrates two types of data with different statistical properties, THAI17G and 299 GNSS/Levelling co-point stations of geoid undulation. The polynomial technique was used to defined tilt and bias as optional parameters for LSC at every co-points. We evaluated three types of covariance functions to be optimally used for the collocations. The study result showed that the geoid model using LSC with parameters and Gaussian (exponential) covariance function yielded the most improvement of standard deviation (+/-)3.7cm. In comparison, the ordinary LSC and the EGM2008 provided the standard deviations (+/-)3.9cm and (+/-)10.5cm, respectively.
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