Abdelrahman Kamal, Pham Luan Thanh, Oliveira Saulo Pomponet, Duong Van-Hao, Duy Thong Kieu, Gomez-Ortiz David, Fnais Mohammed S, Eldosouky Ahmed M
Department of Geology and Geophysics, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia.
University of Science, Vietnam National University Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam.
Sci Rep. 2024 Mar 28;14(1):7392. doi: 10.1038/s41598-024-57314-5.
The Tilt-depth is a popular approach for determining depths of magnetic sources. As this method is based on the distance between contour levels of the tilt angle, it can lead to inaccurate depth estimates when the contour lines are distorted by the presence of noise. In this paper, we stabilize the Tilt-depth method based on the computation of stable vertical derivative obtained by the β-VDR method. The presented method is demonstrated on synthetic magnetic anomalies and real magnetic data from the Arabian Shield. The results obtained from the synthetic examples coincide well with the actual depths. These results proved the utility of the presented method in cases where the field is corrupted by noise. The real example shows that the presented method can provide valuable information on subsurface structures of the area where the Tilt-depth estimates are consistent with the result of the horizontal tilt angle. The findings show that the presented method is less sensitive to noise and can provide source edges and depths more clearly and with higher accuracy.
倾斜深度法是确定磁源深度的一种常用方法。由于该方法基于倾斜角等值线之间的距离，当等值线因噪声存在而扭曲时，可能会导致深度估计不准确。在本文中，我们基于通过β-VDR方法获得的稳定垂直导数计算来稳定倾斜深度法。所提出的方法在合成磁异常和阿拉伯地盾的实际磁数据上进行了验证。合成实例得到的结果与实际深度吻合良好。这些结果证明了所提出的方法在磁场受噪声干扰情况下的实用性。实际例子表明，所提出的方法能够提供有关该区域地下结构的有价值信息，在这些区域中倾斜深度估计与水平倾斜角的结果一致。研究结果表明，所提出的方法对噪声不太敏感，能够更清晰、更准确地提供源边缘和深度信息。
