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金属矿山 ›› 2026, Vol. 55 ›› Issue (2): 203-217.

• 安全与环保 • 上一篇    下一篇

基于WGAN-GP-Transformer 的地表沉陷SHAP可解释预测模型#br#

刘 超1 夏大平2   

  1. 1. 河南工业和信息化职业学院资源与安全学院,河南 焦作 454000;2. 河南理工大学能源科学与工程学院,河南 焦作 454000
  • 出版日期:2026-02-15 发布日期:2026-03-04
  • 作者简介:刘 超(1981—)女,讲师。
  • 基金资助:
    国家自然科学基金项目(编号:42172199)。

SHAP Interpretable Prediction Model of Surface Subsidence Based on WGAN-GP-Transformer

LIU Chao1 XIA Daping2   

  1. 1. School of Resources and Safety,Henan College of Industry & Information Technology,Jiaozuo 454000,China;
    2. School of Energy Science and Engineering,Henan Polytechnic University,Jiaozuo 454000,China
  • Online:2026-02-15 Published:2026-03-04

摘要: 为实现地表沉陷的精准预测,以及对预测结果进行深度解释来指导实际工程,提出了基于改进生成对
抗网络(WGAN-GP)与Transformer 的地表沉陷SHAP 可解释模型。利用该模型对地表下沉量、影响角正切和拐点偏
移距进行预测,从而将预测参数结合概率积分法来建立地表沉陷公式。首先,利用Wasserstein 距离、梯度惩罚策略对
传统生成对抗网络进行改进,以增强地表沉陷数据,丰富训练集。然后,采用基于多头自注意力机制的Transformer 架
构对增强数据进行深度学习,并通过贝叶斯优化寻优超参数。最后,基于SHAP 法对预测过程与结果进行全面剖析解
释,以揭示不同特征对预测参数的影响规律。结果表明:WGAN-GP-Transformer 对下沉量、影响角正切与拐点偏移距
在测试集上表现出优异的预测能力,表明模型能有效捕捉预测地表沉陷的复杂非线性特征,以及可有效应对数据稀
缺的场景。揭示了影响3 个预测参数的特征贡献强度与作用方向存在显著差异;松散层厚度对预测下沉量影响最大,
采深对预测影响角正切和拐点偏移距的影响最大。模型在鲁西南某矿3301 工作面的实际应用表明,其预测沉陷曲线
与实际情况高度吻合,验证了其在实际工程中的可靠性与泛化性能。

关键词: 地表沉陷预测 Transformer WGAN-GP SHAP 深度学习

Abstract: In order to realize the accurate prediction of surface subsidence and conduct in-depth interpretation of the prediction
results to guide the actual project,a SHAP interpretable model of surface subsidence based on improved generative adversarial
network (WGAN-GP) and Transformer is proposed. The model is used to predict the surface subsidence,the tangent
of the influence angle and the offset of the inflection point,so that the prediction parameters are combined with the probability
integral method to establish the surface subsidence formula. Firstly,the Wasserstein distance and gradient penalty strategy are
used to improve the traditional generative adversarial network to enhance the surface subsidence data and enrich the training
set. Then,the Transformer architecture based on the multi-head self-attention mechanism is used to perform deep learning on
the enhanced data,and the hyperparameters are optimized by Bayesian optimization. Finally,based on the SHAP method,the
prediction process and results are comprehensively analyzed and explained to reveal the influence of different characteristics on
the prediction parameters. The results show that WGAN-GP-Transformer has excellent prediction ability for subsidence,tangent
of influence angle and offset of inflection point on the test set,indicating that the model can effectively capture the complex
nonlinear characteristics of predicting surface subsidence and effectively deal with the scene of data scarcity. It is revealed that
there are significant differences in the characteristic contribution intensity and direction of action that affect the three prediction
parameters. The thickness of the loose layer has the greatest influence on the predicted subsidence,and the mining depth has
the greatest influence on the predicted influence angle tangent and the inflection point offset. The practical application of the
model in the 3301 working face of a mine in southwest Shandong shows that the predicted subsidence curve is highly consistent
with the actual situation,which verifies its reliability and generalization performance in practical engineering.

Key words: surface subsidence prediction,Transformer,WGAN-GP,SHAP,deep learning

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