arXiv:2509.13189stat.MLcs.LG2025-09被引 2

SURGIN无需重训即可实时反演地下多相流,还带不确定性量化。

SURGIN: SURrogate-guided Generative INversion for subsurface multiphase flow with quantified uncertainty

  • 用代理模型引导生成式逆向建模,实现零样本条件生成。
  • 在多种观测场景下精准反演地质场并预测流动动态,含不确定性评估。
  • 适合需要快速、可靠反演的油气开发与环境监测领域。

我们提出一种名为SURGIN的直接反演建模方法,即基于代理模型引导的生成式反演框架,专用于地下多相流数据同化。不同于需针对每种新观测配置调整的传统方法,SURGIN具备零样本条件生成能力,可在不进行任务特定再训练的情况下实现实时同化未见监测数据。具体而言,SURGIN协同集成一个增强型傅里叶神经算子(U-FNO)代理模型与基于得分的生成模型(SGM),将条件生成问题从贝叶斯视角建模为代理预测引导过程。不直接学习地质参数的条件生成,而是先以自监督方式预训练无条件SGM以捕捉地质先验,随后利用可微分的U-FNO代理模型高效执行条件前向评估,完成后验采样。大量数值实验表明,SURGIN能在多样测量设置下有效推断非均质地质场,并准确预测时空流动动态,同时提供量化不确定性。通过融合生成学习与代理引导的贝叶斯推断,SURGIN为参数函数空间中的反演建模与不确定性量化建立了新范式。

原文摘要 · Abstract (English)

We present a direct inverse modeling method named SURGIN, a SURrogate-guided Generative INversion framework tailed for subsurface multiphase flow data assimilation. Unlike existing inversion methods that require adaptation for each new observational configuration, SURGIN features a zero-shot conditional generation capability, enabling real-time assimilation of unseen monitoring data without task-specific retraining. Specifically, SURGIN synergistically integrates a U-Net enhanced Fourier Neural Operator (U-FNO) surrogate with a score-based generative model (SGM), framing the conditional generation as a surrogate prediction-guidance process in a Bayesian perspective. Instead of directly learning the conditional generation of geological parameters, an unconditional SGM is first pretrained in a self-supervised manner to capture the geological prior, after which posterior sampling is performed by leveraging a differentiable U-FNO surrogate to enable efficient forward evaluations conditioned on unseen observations. Extensive numerical experiments demonstrate SURGIN's capability to decently infer heterogeneous geological fields and predict spatiotemporal flow dynamics with quantified uncertainty across diverse measurement settings. By unifying generative learning with surrogate-guided Bayesian inference, SURGIN establishes a new paradigm for inverse modeling and uncertainty quantification in parametric functional spaces.

反演建模生成模型不确定性量化地下流体

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