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基于U-Net神经网络构建三维磁基准图方法研究
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V249

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国家自然科学基金(42404082,42104051);陕西省自然科学基础研究计划(2024JC-YBQN-0260)


Research on Construction Method of 3D Geomagnetic Reference Map Based on U-Net Neural Network
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    摘要:

    地磁位场的向下延拓算法在数学上是典型的不适定问题,针对传统地磁数据向下延拓易受到噪声和延拓距离影响的问题,利用U-Net神经网络对磁异常向下延拓进行探究,简单棱柱体和复杂组合棱柱体正演获取的不同高度的磁异常作为机器学习的标签,每组数据标签为5 000组,训练集、测试集和验证集的比例为8∶1∶1,机器学习标签的构建综合考虑了模型体中心几何位置,模型体的长、宽、高,磁化倾角、磁化偏角和磁化强度信息。在无干扰实验情况下,单个棱柱体模型和3个组合棱柱体模型的平均预测相对精度分别为97.0%和95.2%,在5%高斯噪声的干扰下,组合模型的平均预测相对精度为94.9%,呈现出较好的抗干扰特性,同时在实验涉及的延拓距离范围内,表现出较强的距离鲁棒性,验证了U-Net网络可以有效地实现向下延拓,在三维磁基准图构建中具有广泛的应用前景。

    Abstract:

    The downward continuation algorithm of geomagnetic potential field is a typical ill-posed problem in mathematics. Aimed at the problems that the traditional downward continuation of geomagnetic data is susceptible to the effects of noise and continuation distance, this paper explores the downward continuation of magnetic anomalies by using the U-Net neural network. Magnetic anomalies obtained at different heightsvia forward modeling of simple prisms and complex combined prisms, are taken to be labels of machine learning with 5 000 label groups being constructed for each dataset. The dataset is divided into training, test, and validation sets at a ratio of 8∶1∶1. The construction of machine learning labels is in comprehensive consideration information such as geometric position of the model center, the length, width, and height of the model, as well as magnetic inclination, magnetic declination, and magnetization intensity. Under condition of interference-free experiments, the average relative prediction accuracy is 97.0% for the single prism model and 95.2% for the three-combined prism model. Under the interference of 5% Gaussian noise, the average relative prediction accuracy of the combined model remains 94.9%, showing excellent anti-interference performance. And simultaneously, the model exhibits strong distance robustness within the range of continuation distances involved in the experiments. This study verifies that the UNet network can effectively realize downward continuation and has broad application prospects in the construction of 3D magnetic reference maps.

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郝奥伟,胡 景,纪晓琳,杨宾锋,郭娇娇,刘嘉正,冶得成.基于U-Net神经网络构建三维磁基准图方法研究[J].空军工程大学学报,2026,27(2):42-53

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  • 在线发布日期: 2026-04-27
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