Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions
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 tes...
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| Format: | Article |
| Language: | English |
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Russian Academy of Sciences, The Geophysical Center
2022-09-01
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| Series: | Russian Journal of Earth Sciences |
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| Online Access: | http://doi.org/10.2205/2022ES000804 |
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| author | Sugaipova Leyla Neyman Yury |
| author_facet | Sugaipova Leyla Neyman Yury |
| author_sort | Sugaipova Leyla |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-83d5beac106c4ccfa6a6dd585d27780d |
| institution | DOAJ |
| issn | 1681-1208 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Russian Academy of Sciences, The Geophysical Center |
| record_format | Article |
| series | Russian Journal of Earth Sciences |
| spelling | doaj-art-83d5beac106c4ccfa6a6dd585d27780d2025-08-20T02:46:28ZengRussian Academy of Sciences, The Geophysical CenterRussian Journal of Earth Sciences1681-12082022-09-012241810.2205/2022ES000804Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis FunctionsSugaipova Leyla0Neyman Yury1Moscow State University of Geodesy and Cartography (MIIGAiK)Moscow State University of Geodesy and Cartography (MIIGAiK)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.http://doi.org/10.2205/2022ES000804airborne gravimetry disturbing potential downward continuation gravity disturbance spherical radial basis functions |
| spellingShingle | Sugaipova Leyla Neyman Yury Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions Russian Journal of Earth Sciences airborne gravimetry disturbing potential downward continuation gravity disturbance spherical radial basis functions |
| title | Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions |
| title_full | Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions |
| title_fullStr | Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions |
| title_full_unstemmed | Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions |
| title_short | Downward Continuation of Airborne Gravimetry Data by Means of Spherical Radial Basis Functions |
| title_sort | downward continuation of airborne gravimetry data by means of spherical radial basis functions |
| topic | airborne gravimetry disturbing potential downward continuation gravity disturbance spherical radial basis functions |
| url | http://doi.org/10.2205/2022ES000804 |
| work_keys_str_mv | AT sugaipovaleyla downwardcontinuationofairbornegravimetrydatabymeansofsphericalradialbasisfunctions AT neymanyury downwardcontinuationofairbornegravimetrydatabymeansofsphericalradialbasisfunctions |