Downward continuation of airborne gravimetry data by means of spherical radial basis functions

IF 0.7 Q4 GEOSCIENCES, MULTIDISCIPLINARY
L. Sugaipova, Yu. M. Neyman
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引用次数: 0

Abstract

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.
基于球面径向基函数的航空重力数据向下延拓
讨论了航空重力资料向下延拓的问题。提出了用球面径向基函数(SRBF)求解该不适定问题的方法。在飞行高空观测到的重力扰动持续向下直至扰动位势。在以经度40°、43°和经度153°、157°(球坐标)为界的区域内,利用合成的飞行高度2000 m、4600 m和6000 m以及栅格步长1 arcmin和2.5 arcmin的数据对SRBF方法进行了数值测试。实验证明,该方法能够提供稳定、准确的结果。此外,作为这个过程的结果,我们有一个近似的SRBF的线性组合的形式,它允许通过对这个表达式应用相应的算子来确定不同的势变换的值。
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来源期刊
Russian Journal of Earth Sciences
Russian Journal of Earth Sciences GEOSCIENCES, MULTIDISCIPLINARY-
CiteScore
1.90
自引率
15.40%
发文量
41
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