基于径向基函数的1∶5万规则分布重力数据插值参数优选

doi:10.11720/wtyht.2021.0402

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Abstract

In order to select the optimized interpolation parameters of 1∶50 000 regular distribution gravity data to provide quantitative interpolation basis for data gridding. We take the gravity data of the theoretical model as an example, use the radial basis function method to optimize the interpolation parameters, such as the interpolation kernel function and the search neighborhood, and using the standard deviationindex to evaluate the interpolation results corresponding to different parameters. The results indicate that the natural cubic spline kernel function corresponds to the highest interpolation accuracy, when the R² parameter is in the first interval (0~1), the interpolation is stable and accurate. The interpolation accuracy is highest when the search neighborhood is elliptical, and the preferred interpolation parameters are as follows: the search radius R₁=3 km, R₂=4.5 km, the number of sectors to search is 4, the search angle is 32°, the anisotropy ratio is 0.667, the anisotropy angle is 32°, the maximum number of data to use from all sectors is 80, the maximum number of data to use from each sector is 20, the minimum number of data in all sectors (node is blanked if fewer) is 8, the node is blanked if more than 3 sectors are empty.

Key words： radial basis function surfer software regular distribution 1∶50 000 gravity data interpolation parameter

Received: 09 February 2021 Published: 21 December 2021

ZTFLH:

P631

Corresponding Authors: HAN Xiao-Feng E-mail: honghaibeibei@163.com;daijiadj@163.com

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	Articles by authors
	Hai-Hong XU
	Xiao-Feng HAN
	Bing-Qiang YUAN
	Chun-Guan ZHANG
	Bao-Wen WANG
	Fei ZHAO
	Rui-Feng DUAN

Cite this article:

Hai-Hong XU,Xiao-Feng HAN,Bing-Qiang YUAN, et al. Optimization of interpolation parameters for 1∶50 000 regular distribution gravity data based on radial basis function[J]. Geophysical and Geochemical Exploration, 2021, 45(6): 1539-1552.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2021.0402 OR https://www.wutanyuhuatan.com/EN/Y2021/V45/I6/1539

Parameters of the theoretical model

The model (a) and its theoretical gravity anomaly (b)

Residual results and curve of the five kernel functions

Residual results of R² parameters

Residual curve of R² parameters

Residual results of search radius in circular neighborhood

Search sectors and search points

Search interface options (a) and search points distribution (b)

Different search angle icons

Residual results of different search sectors in circular neighborhood

Residual curves of different search sectors in circular neighborhood

Maximum number data of 4 search sectors in circular neighborhood

Residual results and curve of maximum number data of 4 search sectors in circular neighborhood

Residual results of different parameters of 1 search sector in elliptical neighborhood

Residual results of different parameters of 4 search sectors in elliptical neighborhood

Residual results of different parameters of 8 search sectors in elliptical neighborhood

Residual curves of different parameters of 1 search sector in elliptical neighborhood

Residual curves of different parameters of 4 search sectors in elliptical neighborhood

Residual curves of different parameters of 8 search sectors in elliptical neighborhood

Residual results and curve of maximum number data of 4 search sectors in elliptical neighborhood

Residual results and curve of same search radius in circular neighborhood

Map of the interpolation points distribution with the same search radius

Residual results and curve of different search radius in elliptical neighborhood

Map of the interpolation points distribution with the different search radius

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