Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 51066 10.2205/2022ES000804 ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions Сугаипова Лейла Супьяновна Sugaipova Leyla Sup'yanovna leyla_sugaipova@mail.ru

доктор технических наук;

doctor of technical sciences;

 Нейман Юрий Михайлович Neyman Yury Mikhailovich Московский государственный университет геодезии и картографии (МИИГАиК) Москва Россия Moscow State University of Geodesy and Cartography (MIIGAiK) Moscow Russian Federation Центр геодезии, картографии и инфраструктуры пространственных данных Москва Россия Center of Geodesy, Cartography and SDI Moscow Russian Federation Московский государственный университет геодезии и картографии (МИИГАиК) Россия Moscow State University of Geodesy and Cartography (MIIGAiK) Russian Federation 26 09 2022 26 09 2022 22 4 1 8 21 06 2022 21 07 2022 https://rjes.ru/en/nauka/article/51066/view

The problem of downward continuation of airborne gravimetry data is discussed. Use of spherical radial basis functions (SRBF) to solve this ill-posed problem is proposed. Gravity disturbances observed at flight high are continued downward to disturbing potential. The SRBF method is numerically tested using synthesised data for flight heights 2000 m, 4600 m and 6000 m and grid steps 1 arcmin and 2.5 arcmin in area bounded by colatitudes 40°, 43° and longitudes 153°, 157° (spherical coordinates). The experiments prove that the SRBF method can provide stable and accurate results. Moreover, as a result of this procedure one have an approximator in the form of a linear combination of SRBF which allows to determine the values of different transforms of potential by applying the corresponding operators to this expression.

The problem of downward continuation of airborne gravimetry data is discussed. Use of spherical radial basis functions (SRBF) to solve this ill-posed problem is proposed. Gravity disturbances observed at flight high are continued downward to disturbing potential. The SRBF method is numerically tested using synthesised data for flight heights 2000 m, 4600 m and 6000 m and grid steps 1 arcmin and 2.5 arcmin in area bounded by colatitudes 40°, 43° and longitudes 153°, 157° (spherical coordinates). The experiments prove that the SRBF method can provide stable and accurate results. Moreover, as a result of this procedure one have an approximator in the form of a linear combination of SRBF which allows to determine the values of different transforms of potential by applying the corresponding operators to this expression.

 airborne gravimetry disturbing potential downward continuation gravity disturbance spherical radial basis functions Исследование частично проведено в рамках государственного задания 0708-2020-001 Минобрнауки России This work was partly conducted in the framework of budgetary funding, adopted by the Ministry of Science and Higher Education of the Russian Federation (project No. 0708-2020-001).

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