arXiv:2512.20268cs.LGcs.NA2025-12

用深度算子网络加速树脂灌注过程的实时参数反演

DeepONet-accelerated Bayesian inversion for moving boundary problems

  • 用DeepONet构建移动边界问题的快速代理模型
  • 计算速度比传统方法快多个数量级,支持实时反演
  • 可泛化到任意传感器位置,适合工业数字孪生应用

本工作表明,神经算子学习为构建移动边界系统的快速精确代理模型提供了强大且灵活的框架,可集成至数字孪生平台。为此,采用深度算子网络(DeepONet)架构,构建单相达西流通过多孔介质中移动边界问题的高效代理模型。该代理模型能快速准确逼近复杂流动动力学,并与集合卡尔曼反演(EKI)算法结合,求解贝叶斯逆问题。通过合成与实验在制程数据,实现了对树脂转移模塑(RTM)工艺中纤维增强材料渗透率和孔隙率的估计。相比全模型EKI,DeepONet代理使反演加速多个数量级,实现局部渗透率、孔隙率等参数的实时、高精度、高分辨率估计,有效支持RTM过程的监控与控制,以及其它涉及移动边界流动的应用。与以往依赖网格的RTM反演方法不同,该神经算子可跨时空域泛化,无需重新训练即可在任意传感器配置下评估,是迈向数字孪生实际工业部署的重要一步。

原文摘要 · Abstract (English)

This work demonstrates that neural operator learning provides a powerful and flexible framework for building fast, accurate emulators of moving boundary systems, enabling their integration into digital twin platforms. To this end, a Deep Operator Network (DeepONet) architecture is employed to construct an efficient surrogate model for moving boundary problems in single-phase Darcy flow through porous media. The surrogate enables rapid and accurate approximation of complex flow dynamics and is coupled with an Ensemble Kalman Inversion (EKI) algorithm to solve Bayesian inverse problems. The proposed inversion framework is demonstrated by estimating the permeability and porosity of fibre reinforcements for composite materials manufactured via the Resin Transfer Moulding (RTM) process. Using both synthetic and experimental in-process data, the DeepONet surrogate accelerates inversion by several orders of magnitude compared with full-model EKI. This computational efficiency enables real-time, accurate, high-resolution estimation of local variations in permeability, porosity, and other parameters, thereby supporting effective monitoring and control of RTM processes, as well as other applications involving moving boundary flows. Unlike prior approaches for RTM inversion that learn mesh-dependent mappings, the proposed neural operator generalises across spatial and temporal domains, enabling evaluation at arbitrary sensor configurations without retraining, and represents a significant step toward practical industrial deployment of digital twins.

神经算子数字孪生反演树脂灌注

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。