arXiv:2602.22188cs.LGcs.AI2026-02被引 1

用神经网络建模岩石流体相互作用,可跨网格尺度预测且计算更快。

Surrogate models for Rock-Fluid Interaction: A Grid-Size-Invariant Approach

  • 设计八种代理模型,四类为双神经网络压缩-预测结构,四类具网格尺寸不变性。
  • 网格无关模型在内存消耗和预测精度上优于传统降阶模型,相关系数高。
  • 适用于流体溶解岩石等动态界面问题,适合不确定性量化与优化场景。

岩石-流体相互作用建模需求解一组偏微分方程(PDE),以预测流体流动行为及与岩体界面的反应。传统高保真数值模型需高分辨率才能获得可靠结果,导致计算开销巨大,限制了其在多查询问题(如不确定性量化和优化)中的应用。为此,本文开发了八种代理模型用于预测多孔介质中的流体流动。其中四类为基于一个神经网络压缩、另一个用于预测的降阶模型(ROM);其余四类为具备网格尺寸不变性的单神经网络模型——即能对训练时未见的大规模计算域进行推理的图像到图像模型。除提出新颖的网格尺寸不变框架外,本文对比了UNet与UNet++架构的预测性能,发现UNet++更优。此外,证明网格尺寸不变方法能有效降低训练内存消耗,并实现预测值与真实值间良好相关性,优于所分析的各类降阶模型。该应用极具挑战性,因流体诱发的岩石溶解导致固相场非静态,无法用于未来预测的修正。

原文摘要 · Abstract (English)

Modelling rock-fluid interaction requires solving a set of partial differential equations (PDEs) to predict the flow behaviour and the reactions of the fluid with the rock on the interfaces. Conventional high-fidelity numerical models require a high resolution to obtain reliable results, resulting in huge computational expense. This restricts the applicability of these models for multi-query problems, such as uncertainty quantification and optimisation, which require running numerous scenarios. As a cheaper alternative to high-fidelity models, this work develops eight surrogate models for predicting the fluid flow in porous media. Four of these are reduced-order models (ROM) based on one neural network for compression and another for prediction. The other four are single neural networks with the property of grid-size invariance; a term which we use to refer to image-to-image models that are capable of inferring on computational domains that are larger than those used during training. In addition to the novel grid-size-invariant framework for surrogate models, we compare the predictive performance of UNet and UNet++ architectures, and demonstrate that UNet++ outperforms UNet for surrogate models. Furthermore, we show that the grid-size-invariant approach is a reliable way to reduce memory consumption during training, resulting in good correlation between predicted and ground-truth values and outperforming the ROMs analysed. The application analysed is particularly challenging because fluid-induced rock dissolution results in a non-static solid field and, consequently, it cannot be used to help in adjustments of the future prediction.

代理模型岩石流体神经网络网格不变

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