空间域和频率域平面位场延拓影响因素和稳定性分析

doi:10.11720/wtyht.2019.1397

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Abstract

Potential field continuation is one of the important methods of gravity and magnetic potential field data processing, and obtaining high-precision continuation results is particularly important for subsequent data processing and interpretation. Starting with the basic formula of plane potential field continuation, the authors analyzed the factors and the stability that affect the accuracy of continuation results in space and frequency domains. Using the theory model, the authors investigated the buried depth of the top surface of the field source, the length of the section, the method of edge enlargement, the size of the window, the dot pitch and the continuation height, and compared the different influences of these factors in space domain and frequency domain. The theory model test shows that the dot pitch and continuation height have the greatest influence on the continuation results, followed by the section length, the method of edge enlargement and the size of window, with the top surface of the field source exhibiting minimal influence. With the increase of the top surface’s depth, the continuation results accuracy is reduced. Increasing and expanding the length of the section will improve the accuracy of the field continuation results. Selecting the appropriate sliding window can improve the calculation efficiency, with the increasing window radius, the accuracy of the field continuation results is improved, and it can generally be chosen as 20 times of the continuation distance. The accuracy of the field continuation results have similarity in space domain and frequency domain; nevertheless, in space domain, the continuation error is very large when the continuation distance is less than 1 time of the dot pitch, so it needs to encrypt the dot pitch by using the interpolation method in this situation.

Key words： continuation of potential field influence factors precision analysis stability

Received: 02 November 2018 Published: 10 April 2019

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	Fen LIU
	Wan-Yin WANG
	Xiao-Lin JI

Cite this article:

Fen LIU,Wan-Yin WANG,Xiao-Lin JI. Influence factors and stability analysis of plane potential field continuation in space and frequency domains[J]. Geophysical and Geochemical Exploration, 2019, 43(2): 320-328.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2019.1397 OR https://www.wutanyuhuatan.com/EN/Y2019/V43/I2/320

Parameters of the vertical hexahedron model

The theory gravity anomaly on the plane surface z=0 km

The relative mean square error distribution map of the effect on different depth of the field source to the continuation results in the space domain and frequency domain
a—upward continuation distance is 2.0 km;b—downward continuation distance is 2.0 km;c—depth of the field source and space

The relative mean square error distribution map of the effect on different section length to the continuation results

The influences of the different radius of window to the continuation results in space domain
a—upward continuation with different windows;b—downward continuation with different windows;c—the calculating time with different windows

Relative mean square error distribution maps of the influence with different dot pitch on the continuation results
a—upward continuation with different dot pitch in space domain;b—upward continuation with different dot pitch in frequcncy domain;c—downward continuation with different dot pitch in space domain;d—downward continuation with different dot pitch in frequcncy domain

Relative mean square error distribution maps of the theory model test on anti-noise ability in space and frequency domains
a—upward continuation distance is 2.0 km;b—downward continuation distance is 2.0 km

Gravity anomaly map of Wan’an Basin

Different dot pitch influence continuation test results of Wan’an Basin’s gravity anomaly
a—upward continuation distance is 1.0 km in frequency domain; b—upward continuation distance is 2.0 km in space domain; c—upward continuation distance is 2.0 km in frequency domain; d—downward continuation distance is 1.0 km in frequency domain; e—downward continuation distance is 2.0 km in space domain; f—downward continuation distance is 2.0 km in frequency domain

Measured data test of anti-noise ability in space and frequency domains
a—upward continuation distance is 2.0 km; b—downward continuation distance is 2.0 km

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