重力位三阶梯度张量异常的波数域转换计算及其DEXP定量解释方法

doi:10.11720/wtyht.2023.1597

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Abstract

Since the current instrumental measurement technology cannot directly measure the third-order gradient tensor of gravitational potential, this study proposed a wavenumber-domain transform calculation method for the third-order gradient tensor of gravitational potential based on the gravity anomaly and gradient tensor data. To verify the correctness of this method, this study computed the third-order gradient tensor anomalies of gravitational potential using a 3D model and compared the wavenumber-domain transform calculation results with the forward modeling results, suggesting that the wavenumber-domain transform calculation method is feasible. Moreover, the wavenumber-domain transform calculation results based on gravitational gradient tensor data were more accurate than those based on gravity anomaly data, yielding a root mean square error not exceeding 1 pMKS. In addition, based on the measured data of the Vinton salt dome area, the third-order gradient tensor data of gravitational potential of this area were obtained using the wavenumber-domain transform calculation method. The obtained data were used for DEXP-based data interpretation, attaining consistent depth and boundary results with the previous research results.

Key words： third-order gradient tensor anomaly of gravitational potential wavenumber domain transform calculation DEXP quantitative interpretation

Received: 01 October 2022 Published: 23 January 2024

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	Feng QIU

Cite this article:

Feng QIU. Methods for wavenumber-domain transform calculation and DEXP-based quantitative interpretation of third-order gradient tensor anomalies of gravitational potential[J]. Geophysical and Geochemical Exploration, 2023, 47(6): 1500-1507.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2023.1597 OR https://www.wutanyuhuatan.com/EN/Y2023/V47/I6/1500

Geometric schematic diagram of upright cuboid model

The gravity tensor anomalies from first-order to third-order of upright cuboid model

The deviations between the FFT-derived and model-calculated third-order gradient tensor of gravitational potential from gravity value

模型的RMS误差/pMKS	重力位三阶梯度张量
模型的RMS误差/pMKS	W_xxx	W_xxy	W_xxz	$W x y y$	W_xyz	W_xzz	W_yyy	W_yyz	W_yzz	W_zzz
不去除边界畸变值	7.66	0.17	10.61	0.16	0.04	7.64	7.32	10.11	7.29	14.66
去掉部分边界畸变值	2.54	0.17	0.17	0.16	0.04	2.51	2.43	0.16	2.39	0.23

RMS error between model and FFT third-order gradient tensor of gravitational potential

The deviations between the FFT-derived and model-calculated third-order gradient tensor of gravitational potential from gravity gradient tensor

RMS error between model and FFT third-order gradient tensor of gravitational potential

Gravity gradient tensor data in Vinton salt dome area after processing

The third-order gradient tensor data of the gravity level in the Vinton salt dome area obtained by conversion

DEXP transformation result of the third-order tensor data of gravity potential obtained by wavenumber domain transformation

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