一种重力异常向上延拓高度最优化确定方法

doi:10.11720/wtyht.2023.2356

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (5587 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract

Upward continuation is one of the important methods used to separate gravity anomalies. However, how to quantitatively select an appropriate upward-continuation height has always been a problem in the application of this method. Given this, this paper proposes a curvature analysis method based on the least square method to quantitatively determine a reasonable upward-continuation height. The steps of this method are as follows. Perform upward continuation to different adjacent heights for observation data, and then use the least square method to estimate the least square error of the upward continued value of adjacent heights.There is a maximum curvature in the least square curve of upward-continued values of all adjacent heights.At the point of the maximum curvature, the local anomalies are attenuated to the greatest extent, while the regional anomalies are preserved as far as possible. Therefore, this point can be approximately regarded as the optimal upward-continuation height. As indicated by tests using the data of a theoretical model, the method proposed in this paper can be used to qualitatively determine a suitable upward-continuation height, thus providing an important reference for the selection of upward-continuation height in practical applications.

Key words： gravity anomaly analytic continuation upward-continuation height

Received: 24 June 2021 Published: 24 February 2023

ZTFLH:

P631

Corresponding Authors: WANG Jun E-mail: 1010181224@cugb.edu.cn;wangj@cugb.edu.cn

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Zheng SUN
	Jun WANG
	Peng DING
	Xin TAN

Cite this article:

Zheng SUN,Jun WANG,Peng DING, et al. Amethod for determining the optimal height for upward continuation of gravity anomalies[J]. Geophysical and Geochemical Exploration, 2023, 47(1): 162-170.

URL:

https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2023.2356 OR https://www.wutanyuhuatan.com/EN/Y2023/V47/I1/162

Geometric and physical parameters of spherical gravity anomaly

Theoretical gravity anomaly
a—total anomaly;b—regional anomaly;c—residual anomaly;d—patial location of the anomaly bodies

Analysis of the theoretical continuation height curves
a—best continuation height determined by the correlation coefficient method;b—best continuation height determined by the proposed method

The continued anomaly at the best continuation height
a—continued anomaly at 5 m;b—continued anomaly at 8 m;c—residual anomaly at 5 m;d—residual anomaly at 8 m

Adjacent height continuation analysis
a—the square curve of adjacent height;b—discrete curvature of the square curve;c—the correlation coefficient of adjacent height;d—discrete curvature of the correlation coefficient

The continued anomaly (a) and the residual field (b) at the optimal continuation height

Bouguer gravity anomaly of a mining area of Jilin Province

Continuation height analysis curve

Continued anomaly at the height of h

The continued anomaly (a) and the residual anomaly (b) at the optimal continuation height

[1]	曾华霖. 重力场与重力勘探[M]. 北京: 地质出版社, 2005.
[1]	Zeng H L. Gravity field and gravity exploration[M]. Beijing: Geological Publishing House, 2005.
[2]	曾华霖. 重力梯度测量的现状及复兴[J]. 物探与化探, 1999, 23(1):1-6.
[2]	Zeng H L. Present state and revival of gravity gradiometry[J]. Geophysical and Geochemical Exploration, 1999, 23(1):1-6.
[3]	徐连喜. 三维重磁场积分延拓计算方法[J]. 物探与化探, 1988, 12(2):91-98.
[3]	Xu L X. Integral continuation method forthree-dimensional cravity and magnetic field[J]. Geophysical and Geochemical Exploration, 1988, 12(2):91-98.
[4]	王明, 王林飞, 何辉. 匹配滤波技术分离重力场源[J]. 物探与化探, 2015, 39(S1):126-132.
[4]	Wang M, Wang L F, He H. The application of the matched filtering technology to the separation of gravity field sources[J]. Geophysical and Geochemical Exploration, 2015, 39(S1):126-132.
[5]	黎海龙, 朱国器. 桂西地区重力场小波多重分解及地质意义[J]. 物探与化探, 2007, 31(5):465-468.
[5]	Li H L, Zhu G Q. The wavelet multiple decomposition of the gravity field in Guixi(Western Guangxi) area and its geological significance[J]. Geophysical and Geochemical Exploration, 2007, 31(5):465-468.
[6]	郭良辉, 孟小红, 石磊, 等. 重力异常分离的相关法[J]. 地球物理学进展, 2008, 23(5):1425-1430.
[6]	Guo L H, Meng X H, Shi L, et al. The correlation method for gravity anomaly separation[J]. Progress in Geophysics, 2008, 23(5):1425-1430.
[7]	Gupta V K, Ramani N. Some aspects of regional-residual separation of gravity anomalies in a Precambrian terrain[J]. Geophysics, 1980, 45(9):1412-1426.
[8]	陈玉. 解析法与随机法联合定量反演位场[J]. 物探与化探, 2002, 26(6):470-474.
[8]	Cen Y. The combination of analytical method and stochastic method for quantitative inversion of potential field[J]. Geophysical and Geochemical Exploration, 2002, 26(6):470-474.
[9]	汪炳柱, 王硕儒. 二维位场向上延拓与向下延拓的样条函数法[J]. 物探化探计算技术, 1998, 20(2):125-129.
[9]	Wang B Z, Wang S R. Spline function methods for upward continuation and downward continuation of 2D potential field[J]. Computing Techniques for Geophysical and Geochemical Exploration, 1998, 20(2):125-129.
[10]	Kebede H, Alemu A, Fisseha S. Upward continuation and polynomial trend analysis as a gravity data decomposition,case study at Ziway-Shala basin,central Main Ethiopian rift[J]. Heliyon, 2020, 6(1):e03292.
[11]	Christopher J, Jong K L, Jay H K. Modeling errors in upward continuation for INS gravity compensation[J]. Journal of Geodesy, 2007, 81(5) :297-309.
[12]	Heikki V, Olaf A, Ari V. One-dimensional upward continuation of the ground magnetic field disturbance using spherical elementary current systems[J]. Earth,Planets and Space, 2003, 55(10):613-625.
[13]	熊光楚. 矿产预测中重磁异常变换的若干问题二—向上延拓的作用及问题[J]. 物探与化探, 1992, 16(5):358-364.
[13]	Xiong G C. Some problems concerning the transformation of gravity and magnetic anomalies in prognosis of ore resources Ⅱ-The effect and problems of upward continuation[J]. Geophysical and Geochemical Exploration, 1992, 16(5):358-364.
[14]	Tariq A. Full-model wavenumber inversion:An emphasis on the appropriate wavenumber continuation[J]. Geophysics, 2016, 81(3) :R89-R98.
[15]	熊光楚. 矿产预测中重磁异常变换的若干问题三—向上延拓高度与研究深度的关系[J]. 物探与化探, 1992, 16(6):452-455.
[15]	Xiong G C. Some problems concerning the transformation of gravity and magnetic anomalies in prognosis of ore resources Ⅲ-The relationship between the height of upward continuation and the depth of investigation[J]. Geophysical and Geochemical Exploration, 1992, 16(6):452-455.
[16]	尹伟言, 陈真, 蒋涛, 等. 地面重力数据向上延拓方法比较[J]. 地理空间信息, 2018, 16(7):75-77.
[16]	Yin W Y, Chen Z, Jiang T, et al. Comparison of upward continuation methods for ground gravity data[J]. Geospatial Information, 2018, 16(7):75-77.
[17]	Pawlowski R S. Preferential continuation for potential-field anomaly enhancement[J]. Geophysics, 1995, 60(2):390-398.
[18]	Jacobsen B H. A case for upward continuation as a standard separation filter for potential-field maps[J]. Geophysics, 1987, 52(8):1138-1148.
[19]	曾华霖, 许德树. 最佳向上延拓高度估计[J]. 地学前缘, 2002, 9(2):499-504.
[19]	Zeng H L, Xu D S. Estimation of optimum upward continuation height[J]. Geoscience Frontiers, 2002, 9(2):499-504.
[20]	Farhadinia B. A modified class of correlation coefficients of hesitant fuzzy information[J]. Soft Computing, 2021, 25(10):7009-7028.
[21]	Zhang P J. The frequency drift and fine structures of Solar S-bursts in the high frequency band of LOFAR[J]. The Astrophysical Journal, 2002, 891(1):89.
[22]	孙海龙, 吕伟星, 陈鑫, 等. 解析延拓法在山阳磁法数据解释中的应用[J]. 中国煤炭地质, 2017, 29(2):76-82.
[22]	Sun H L, Lyu W X, Chen X, et al. Application of analytical continuation method on magnetometric data interpretation in shanyang area[J]. Coal Geology of China, 2017, 29(2):76-82.