Methods for wavenumber-domain transform calculation and DEXP-based quantitative interpretation of third-order gradient tensor anomalies of gravitational potential
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摘要: 现在的仪器测量技术还不能直接测量重力位三阶梯度张量,本文提供了一种基于重力异常及重力梯度张量数据的重力位三阶梯度张量波数域转换计算方法。为验证计算方法的正确性,文中计算了三维模型重力位三阶梯度张量异常,并将重力位三阶梯度张量波数域转换结果和模型正演结果进行对比,结果表明所采用的波数域转换方法是可行的,并且相对于重力异常数据,基于重力梯度张量数据的波数域转换结果精度更高,其均方根误差不超过1 pMKS。此外,基于Vinton盐丘区实测数据利用波数域转换方法得到该地区的重力三阶梯度张量数据,并将其用于DEXP方法的数据解释中,所得的深度以及边界结果与前人的研究结果相符合。
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关键词:
- 重力位三阶梯度张量异常 /
- 波数域 /
- 转换计算 /
- DEXP /
- 定量解释
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. -
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