Depth Estimation for Magnetic/Gravity Anomaly Using Model Correction

Depth Estimation for Magnetic/Gravity Anomaly Using Model Correction
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使用模型校正对磁/重力异常进行深度估计

DOI:
10.1007/s00024-017-1509-y
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发表时间:
2017-03
影响因子:
2
通讯作者:
Guoxiong Chen
Guoxiong Chen
中科院分区:
地球科学3区
文献类型:
--
作者:
Liu Pengfei;Tianyou Liu;Peimin Zhu;Yushan Yang;Qiaoli Zhou;Henglei Zhang;Guoxiong Chen

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倾斜深度法已被广泛用于确定磁异常的震源深度。在本研究中,我们在接触模型和球体模型的基础上,对磁和重力数据推导了类似的倾斜深度方法,并得到了重力异常和磁异常的相同方程。理论方程和模型试验表明,常规的倾斜深度方法会导致深源深度估计的不可靠。这是因为在致因源深度明显大于其水平长度的情况下,接触模型不再适用于致因源。因此,我们建议从接触模型得到的倾斜深度可以用来探测浅层震源,而从球体模型得到的倾斜深度可以用来探测深源。我们提出了一种基于接触模型和球体模型估计深度的加权方法来估计真实数据的深度。模型试验表明,接触模型和球体模型所确定的深度分别比实际深度浅和深,而所提出的方法估计的深度更接近实际深度。在对江苏卫岗铁矿中国的应用中,常规倾斜深度法的−相对误差为76%,而本文提出的方法与钻孔相比获得了可靠的深度估计。此外,该方法在山东石家泉铁矿中国的应用中取得了较好的效果。这些结果表明,所提出的加权方程是一个普遍的改进。
The Tilt-depth method has been widely used to determinate the source depth of a magnetic anomaly. In the present study, we deduce similar Tilt-depth methods for both magnetic and gravity data based on the contact and sphere models and obtain the same equation for a gravity anomaly as that for a magnetic anomaly. The theoretical equations and the model tests show that the routine Tilt-depth method would result in unreliable depth estimation for deep sources. This is due to that the contact model is no longer valid for causative sources under the condition in which the depths of causative sources are significantly larger than their horizontal lengths. Accordingly, we suggest that the Tilt-depth derived from the contact model can be used to detect a shallow source, whereas the Tilt-depth derived from the sphere model can be used to detect a deep source. We propose a weighting method based on the estimated depths from both the contact model and the sphere model to estimate the depth for real data. The model tests suggest that the determined depths from the contact model and the sphere model are shallower and deeper, respectively, than the real depth, while the estimated depth from the proposed method is more close to the actual depth. In the application to the Weigang iron ore located in Jiangsu province, China, the routine Tilt-depth method results in −76% relative error, whereas the proposed method obtains the reliable depth estimation compared with the drill holes. In addition, the proposed method works well in the application for the Shijiaquan iron ore located in Shandong province, China. These results indicate that the proposed weighting equation is a general improvement.
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