重力位场小波多尺度分解性质的分析与应用

doi:10.11720/wtyht.2022.2552

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Abstract

Multi-scale wavelet decomposition is one of the common methods for gravity potential field separation. The biggest advantage is that it breaks through the traditional concept of dichotomy gravity anomalies and achieves the multiple decomposition of gravity anomalies. However, no systematic study has been carried out on the limitations and properties of the multi-scale wavelet decomposition. To systematically investigate the multi-scale wavelet decomposition and provide guidance for its practical application, this study, starting from the definition of multi-scale wavelet decomposition of gravity potential field based on profiles and grids, expounded three important properties such as the criterion that low-order wavelet keeps details invariant. Then, it analyzed the definition and properties of multi-scale wavelet by designing simple and complex theoretical models. Afterward, this study compared the multi-scale wavelet decomposition with the interpolation cutting method using field data. The results show that multi-scale wavelet decomposition can achieve multi-layer separation of gravity potential field and estimate the burial depths of source bodies. In addition, the multi-scale wavelet decomposition can provide some ideas for solving the limitations pointed out in this study, such as abnormal scale aliasing and difficulty with the determination of scale coefficients. The above basic research can provide a certain degree of references for the processing and interpretation of gravitational potential field data.

Key words： gravitational potential field multi-scale wavelet decomposition criterion that low-order wavelet keeps details invariant theoretical analysis field data application

Received: 07 December 2020 Published: 17 August 2022

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	Articles by authors
	Qing-Kui MENG
	Wen-Zhi ZHANG
	Wei GAO
	Qing SHU
	Rui LI
	Guang-Jing XU
	Kai-Song ZHANG

Cite this article:

Qing-Kui MENG,Wen-Zhi ZHANG,Wei GAO, et al. Property analysis and application of multi-scale wavelet decomposition of gravity potential field[J]. Geophysical and Geochemical Exploration, 2022, 46(4): 946-954.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2022.2552 OR https://www.wutanyuhuatan.com/EN/Y2022/V46/I4/946

Parameters of simple models

Parameters of complex models

Result of simple models with 5 level wavelet decomposition
a—theoretical gravity anomaly;b~f—1^st~5^th order approximation of wavelet decomposition;g~k—1^st~5^th order detail of wavelet decomposition

Comparison between theoretical anomaly and wavelet decomposition anomaly
a—theoretical gravity anomaly;b—theoretical regional anomaly;c—theoretical local anomaly;d—wavelet recovery anomaly; e—wavelet regional anomaly;f—wavelet local anomaly

Comparison between theoretical anomaly of complex models and wavelet decomposition anomaly
a—theoretical gravity anomaly;b~e—gravity anomaly of 1^st~4^th layer model;f~i—1^st~4^th order detail of wavelet decomposition

Local (left) and regional (right) gravity anomalies in the Nansha Islands (partial)

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