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arXiv 2508.03472physics.geo-ph
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大地电磁数据的贝叶斯神经网络反演

Inversion of Magnetotelluric Data using Bayesian Neural Networks

Dhruv Poddar, Rohan Sharma, Divakar Vashisth

AI总结:

针对大地电磁反演的不确定性问题,本文提出用贝叶斯卷积神经网络在合成数据上训练,实现电阻率恢复并量化不确定性,验证了其增强地球物理反演的潜力。

摘要:

大地电磁(MT)反演是地球物理学中用于对深层地下电阻率结构成像的一项关键技术。然而,反问题固有的不适定性和非唯一性使其求解颇具挑战。尽管有监督深度学习方法在该领域已显示出潜力,但其预测通常是确定性的,无法捕捉与决策相关的不确定性这一关键因素。为解决这一局限,我们探索了将贝叶斯神经网络(BNNs)应用于具有不确定性量化的MT反演。具体而言,我们在一个合成生成的MT数据集上训练了一个贝叶斯卷积神经网络(BCNN)。该BCNN能够从视电阻率数据中有效恢复电阻率剖面,其预测均值在训练集和测试集上均与真实值紧密吻合,同时提供了在均值3个标准差范围内的不确定性估计。这些结果凸显了BNNs通过引入原理性的不确定性量化来增强基于深度学习的地球物理反演框架的潜力。

英文摘要:

Magnetotelluric (MT) inversion is a key technique in geophysics for imaging deep subsurface resistivity structures. However, the inherent ill-posedness and non-uniqueness of inverse problems make them challenging to solve. While supervised deep learning approaches have shown promise in this domain, their predictions are typically deterministic and fail to capture the associated uncertainty, an essential factor for decision-making. To address this limitation, we explore the application of Bayesian Neural Networks (BNNs) for MT inversion with uncertainty quantification. Specifically, we train a Bayesian Convolutional Neural Network (BCNN) on a synthetically generated MT dataset. The BCNN effectively recovers resistivity profiles from apparent resistivity data, with the predicted means closely matching the ground truth across both the training and test sets, while also providing uncertainty estimates quantified within 3 standard deviations from the mean. These results underscore the potential of BNNs to enhance deep learning-based geophysical inversion frameworks by incorporating principled uncertainty quantification.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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