基于扩散模型的重力数据网格化方法
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本文为国家自然科学基金资助项目(编号:62273060)的成果


Gridding method of gravity data based on diffusion model
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    摘要:

    受地形等因素的影响,实测重力数据会出现分布不规则或数据缺失的情况。传统的网格化方法,如克里金插值和最小曲率法,在处理复杂地质构造时存在一定的局限性。针对上述问题,笔者等提出了一种基于扩散模型的网格化方法,通过模拟重力数据的扩散和去噪过程,学习重力数据的概率密度函数,从而生成符合全局统计分布的重力异常值。合成数据实验结果表明,扩散模型在重力数据网格化任务中具有较高的有效性与准确性,其网格化结果的最大误差和方差明显优于传统方法,在边界区域仍能保持平滑过渡,避免了传统方法在数据稀疏区域出现的明显振荡现象。实测数据实验结果表明,在存在大面积缺失区域的情况下,扩散模型仍能准确还原重力异常的细节结构,网格化误差小、连续性强,验证了该方法的实用性。因此,扩散模型网格化方法未来有望推广应用于实测重力数据的网格化与反演预处理流程中,为复杂地质构造区域的地球物理解释提供更加可靠的支持。

    Abstract:

    Due to the influence of terrain and other factors, the measured gravity data will be irregularly distributed or missing. Traditional gridding methods, such as kriging interpolation and minimum curvature method, have some limitations in dealing with complex geological structures.Methods: In order to solve the above problems, a gridding method based on diffusion model is proposed in this paper. By simulating the diffusion and denoising process of gravity data, the probability density function of gravity data is learned, so as to generate gravity anomalies that conform to the global statistical distribution.Results: The experimental results of synthetic data show that the diffusion model is effective and accurate in the task of gravity data gridding, and the maximum error and variance of its gridding results are obviously better than those of traditional methods, and it can still maintain a smooth transition in the boundary area, avoiding the obvious oscillation phenomenon of traditional methods in the sparse data area. The experimental results of measured data show that the diffusion model can still accurately restore the detailed structure of gravity anomalies in the case of large missing areas, with small meshing error and strong continuity, which verifies the practicability of this method.Conclusion: Therefore, the gridding method of diffusion model is expected to be applied to the gridding and inversion pretreatment process of measured gravity data in the future, providing more reliable support for geophysical interpretation in complex geological structure areas.

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引用本文

於青凤,熊杰,龚永琪.2025.基于扩散模型的重力数据网格化方法[J].地质论评,71(6):2025060016,[DOI].
YU Qingfeng, XIONG Jie, GONG Yongqi.2025. Gridding method of gravity data based on diffusion model[J]. Geological Review,71(6):2025060016.

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  • 收稿日期:2025-07-11
  • 最后修改日期:2025-10-17
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  • 在线发布日期: 2025-11-18
  • 出版日期: 2025-11-15