arXiv:2606.04392cs.LGcs.CL2026-06

用物理约束神经网络模拟可降解污染物在复合防渗层中的迁移,精度显著提升。

Physics-Informed Neural Network Modeling of Biodegradable Contaminant Transport through GCL/SL Composite Liners

  • 构建双域物理约束神经网络,分别处理薄GCL层与土壤层的污染传输
  • 硬约束方法使预测误差降低至0.011-0.023,相对误差降至2.08%-3.14%
  • 可反演土壤层降解半衰期,对噪声数据也具较好鲁棒性

本研究提出一种双域物理信息神经网络框架,用于模拟可降解污染物在GCL/SL复合防渗系统中的迁移。其中,薄GCL层采用稳态对流-弥散-生物降解模型,下部土工衬垫层则建模为瞬态传输域。对比分析了标准软约束PINN(Std-PINN)与硬约束PINN(H-PINN)在不同渗滤液水头条件下的表现,结果表明:在高水头条件下,由于对流作用增强,Std-PINN在早期传输阶段误差较大;而引入边界与初始条件直接嵌入试解的H-PINN显著降低了优化负担,将平均绝对误差(MAE)从0.058–0.067降至0.011–0.023,均方相对误差(MRE)从9.10%–19.16%降至2.08%–3.14%。参数分析显示,采用tanh激活函数并优化网络结构的H-PINN预测精度最优。进一步拓展至逆向建模,基于有限浓度观测值反演土壤层降解半衰期,结果收敛可靠,且在低至中等噪声下保持良好鲁棒性。

原文摘要 · Abstract (English)

This study develops a two-domain physics-informed neural network framework for contaminant transport through a GCL/SL composite liner system, in which the thin GCL layer is treated using a steady-state advection-dispersion-biodegradation formulation and the underlying soil liner is modeled as a transient transport domain. Two formulations are evaluated against analytical and finite-element reference solutions under different leachate-head conditions: a standard PINN with soft constraint enforcement (Std-PINN) and a hard-constrained PINN (H-PINN), in which selected boundary and initial conditions are embedded directly into the trial solutions. The Std-PINN captures the overall breakthrough behavior but shows larger errors during the early transport stage, particularly under higher leachate heads where advective transport becomes more pronounced. The H-PINN reduces the optimization burden associated with penalty-based constraint enforcement and provides more accurate and stable concentration predictions, lowering the MAE from approximately 0.058-0.067 for the Std-PINN to about 0.011-0.023 for the H-PINN, while reducing the MRE from approximately 9.10%-19.16% to about 2.08%-3.14%. Parametric analyses confirm that the H-PINN with the tanh activation function and an optimized network structure provides the best predictive accuracy. The H-PINN is further extended to inverse modeling for identifying the SL degradation half-life from limited concentration observations, showing reliable convergence toward prescribed values and acceptable robustness under low-to-moderate observation noise.

神经网络污染物迁移复合防渗层逆向建模

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