基于物理信息神经网络的多孔介质耦合传热参数联合反演

Joint inversion for heat transfer parameters of porous media with geothermal-seepage coupling based on a physics-informed neural network

  • 摘要:
    背景 多孔介质中的热扩散系数与垂向渗流速度是表征地下热传输机制的关键参数,然而二者难以直接测量,通常需借助温度数据进行反演。分布式光纤测温(DTS)可获取高分辨率连续温度剖面,为参数识别提供了数据基础,但传统数值反演方法在处理连续监测数据时面临网格依赖、初值敏感等局限。
    方法 提出一种融合DTS数据与物理信息神经网络(PINNs)的地热参数联合反演方法。以稳态对流扩散方程为物理约束,将其作为软正则项嵌入神经网络损失函数,将参数反演问题转化为物理引导的优化过程,实现对垂向流速与热扩散系数的同步估计。
    结果和结论 PINNs预测温度与观测数据的均方根误差(RMSE)为0.20 ℃,反演得到的热扩散系数与垂向流速与迎风有限差分法结果基本一致,且超参数敏感性分析验证了PINNs具有良好的鲁棒性。研究成果为地热渗流耦合系统的参数识别提供了一种兼具物理一致性与数据适应性的新途径。

     

    Abstract:
    Background The thermal diffusivity and vertical seepage velocity of porous media are critical to characterizing the mechanisms underlying subsurface heat transfer. These two parameters are typically determined through inversion using temperature data since they are difficult to measure directly. Fiber-optic distributed temperature sensing (FO-DTS) can yield high-resolution, continuous temperature profiles, providing data for parameter identification. However, conventional numerical inversion suffers from limitations such as mesh dependency and sensitivity to initial values when used to process continuous monitoring data.
    Methods This study proposed a joint geothermal parameter inversion method that integrates FO-DTS data with a physics-informed neural network (PINN). Specifically, the steady-state convection-diffusion equation was embedded as a soft regularization term into the loss function of a PINN to provide a physical constraint. In this manner, the parameter inversion problem was transformed into a physics-guided optimization process, enabling the simultaneous estimation of vertical seepage velocity and thermal diffusivity. Results and Conclusions The results indicate that the temperature field derived from PINN-based inversion exhibited a root mean square error (RMSE) of 0.20 ℃ compared to observed temperature data. The thermal diffusivity and vertical seepage velocity derived from the inversion were roughly consistent with the results from the upwind finite difference-based inversion. Furthermore, the sensitivity analysis of key hyperparameters confirms the high robustness of the PINN-based inversion framework. The results of this study provide a novel approach characterized by both physical consistency and data adaptability for identifying parameters in geothermal-seepage coupling systems.

     

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