基于物理信息神经网络的低电离层离子化学模型

      Low-ionospheric ion chemistry model based on physics-informed neural network

      • 摘要: 为精确模拟低电离层电子密度的时空演化,本文提出一种基于物理信息神经网络(PINN)的低电离层离子化学模型。该方法将离子连续性方程、初始条件及电中性约束共同嵌入到神经网络损失函数中,网络以演化时间、演化高度及时空特征为输入,输出六种正离子密度,最终通过求和得到电子密度。本文以三亚站2024年5月逐小时的低电离层电子密度为研究对象,结合IRI−2020和NRLMSIS 2.1数据开展训练与验证,并通过多指标量化评估模型性能。结果表明,初始时刻模型预测的电子密度与IRI−2020参考值之间的决定系数(R2)均高于0.99,平均绝对百分比误差(MAPE)分别为3.7140%(训练集)和4.0908%(验证集)。同时,模型无需迭代步进即可直接输出电子密度演化1分钟后的预测结果,其MAPE仍控制在6%左右。误差分析表明,模型在日出日落时段预测精度略有下降,这与电离层光化学过程快速变化的物理规律一致。该模型通过融合物理约束与数据驱动,实现了低电离层电子密度的演化模拟。本研究填补了PINN在低电离层离子化学建模的应用空白,为低电离层电子密度预测提供了新的技术路径与理论支撑。

         

        Abstract: To accurately simulate the spatiotemporal evolution of electron density in the lower ionosphere, this paper proposes a low-ionospheric ion chemistry model based on a physics-informed neural network (PINN). The ion continuity equations, initial conditions, and charge neutrality constraints are embedded into the loss function of the neural network. The network takes time, altitude, and spatiotemporal features as inputs, and outputs the densities of six positive ion species. The electron density is then obtained by summing these outputs. The study focuses on the hourly electron density data from lower ionosphere at Sanya station in May 2024, using IRI-2020 and NRLMSIS 2.1 model data for training and validation, with model performance evaluated using multiple metrics. The results demonstrate strong agreement between the predicted electron density and the IRI-2020 reference values under initial conditions. The R2 values exceed 0.99 for both training and validation sets, with MAPE values of 3.7140% and 4.0908%, respectively. Furthermore, the model produces direct predictions without iterative time-stepping, achieving a MAPE of approximately 6% after one minute of evolution. Error analysis further reveals that the prediction accuracy slightly decreases during sunrise and sunset periods, which consistent with the rapid variations in ionospheric photochemical processes. By integrating physical constraints with data-driven modeling, the proposed PINN-based model effectively simulates the evolution of electron density in the lower ionosphere. This study extends the application of PINN to low-ionospheric ion chemistry modeling, and provides a novel methodological framework and theoretical basis for electron density prediction in the lower ionosphere.

         

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