arXiv:2608.08959cs.AI2026-08

用深度感知神经网络提升重力反演的三维密度成像精度

Depth-Aware Implicit Neural Representation Priors for 3D Gravity Inversion

论文配图:Depth-Aware Implicit Neural Representation Priors for 3D Gravity Inversion
图 1 · 摘自论文原文
  • 将三维密度体分解为分层神经网络,通过灵敏度矩阵直接优化重力观测数据
  • 合成场景下均方误差降低15%以上,结构更紧凑且垂直延伸更准确
  • 无需标注数据即可恢复复杂地质体,适合无真实密度模型的野外应用

重力测量反映地下密度差异,用于探测地质构造、地热系统和岩浆体。从重力观测中恢复三维密度模型高度病态,因非唯一性、数据覆盖有限及重力场随深度衰减。传统反演依赖显式正则化与参数调优,监督学习需大量重力-密度配对数据,但此类数据稀少。本文提出一种无监督的深度感知隐式神经表示方法,将密度体积划分为重叠深度层,每层由基于坐标的神经网络表示,并通过灵敏度矩阵直接从观测重力数据优化。各层采用专属傅里叶特征、物理驱动的深度增益和分阶段正则化,提供结构先验而无需标签密度模型。四个合成场景实验表明,该方法在均方误差(RMSE)、峰值信噪比(PSNR)和结构相似性(SSIM)上均优于对比的常规与神经基线。其能恢复更紧凑、空间一致的密度体,更好分离邻近异常,保留内部结构并重建垂直范围。实地实验中无真实密度模型可用,仍生成了紧凑、分离且垂直连贯的异常,与观测重力模式一致,验证了深度感知设计对缓解重力反演固有深度模糊性的有效性。

原文摘要 · Abstract (English)

Gravimetry images subsurface density contrasts associated with geological structures, geothermal systems, and intrusive bodies. Recovering a three-dimensional density model from gravity observations is highly ill-posed because of its non-uniqueness, limited data coverage, and the attenuation of the gravity field with depth. Classical inversion methods rely on explicit regularization and parameter tuning, whereas supervised deep-learning approaches require representative gravity--density pairs that are rarely available. This paper proposes an unsupervised depth-aware implicit neural representation for 3D gravity inversion. The density volume is represented by multiple coordinate-based neural networks assigned to overlapping depth slabs and optimized directly from the observed gravity measurements through the sensitivity matrix. Slab-specific Fourier features, physics-based depth gains, and scheduled regularization provide structural priors without requiring labeled density models. Experiments on four synthetic scenarios show that the proposed method provides better overall performance in terms of RMSE, PSNR, and SSIM than the evaluated conventional and neural baselines. It also recovers more compact and spatially coherent density bodies, improves the separation of nearby anomalies, preserves internal structures, and reconstructs their vertical extent better. These results indicate that the proposed depth-aware formulation helps to mitigate the depth ambiguity inherent in gravity inversion. In the field experiment, where no ground-truth density model was available, the method produced compact, separated, and vertically coherent anomalies consistent with the observed gravity pattern.

重力反演三维建模隐式表示深度感知

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