基于UK−EVF耦合算法的瓦斯含量分布场预测与重构

Prediction and reconstruction of gas content distribution field based on UK-EVF coupling algorithm

  • 摘要: 针对计算资源有限场景中矿井瓦斯含量分布场精确重构的技术难题,提出了一种基于泛克里金(UK)插值与经验变差函数(EVF)的耦合算法(UK−EVF),旨在以轻量化计算实现高精度的瓦斯含量空间分布表征。首先,通过现场实测采集目标区域不同位置的瓦斯含量数据,构建涵盖测点空间坐标与对应瓦斯含量的数据集;其次,引入UK插值算法,以EVF获取的空间参数为约束,利用EVF模型对瓦斯含量分布的空间结构特征进行定量分析,精准提取变程、块金效应、基台值等关键空间相关性参数;在此基础上,对未采样区域的瓦斯含量进行空间插值预测,最终实现预测区域瓦斯含量分布场重构。选取4种经典空间插值算法与5种主流机器学习及神经网络模型进行对比分析,结果表明:UK−EVF耦合算法在所有对比算法中表现最优,瓦斯含量预测结果的平均相对误差绝对值稳定控制在5.1%以内,分布场重构运行耗时不超过10 s,在小样本、低算力场景下,实现了瓦斯含量分布场高精度重构。

     

    Abstract: To address the technical challenge of accurately reconstructing the gas content distribution field in mines under scenarios with limited computational resources, a coupling algorithm based on Universal Kriging (UK) and the Empirical Variogram Function (EVF), namely UK-EVF, was proposed to achieve high-precision spatial distribution characterization of gas content with lightweight computation. First, gas content data at different locations in the target area were collected through field measurements, and a dataset including spatial coordinates of measurement points and corresponding gas content was constructed. Then, the UK algorithm was introduced, and spatial parameters obtained by EVF were used as constraints. The EVF model was employed to quantitatively analyze the spatial structure characteristics of gas content distribution, and key spatial correlation parameters such as range, nugget effect, and sill were accurately extracted. On this basis, spatial interpolation was performed to predict gas content in unsampled regions, thereby achieving the reconstruction of the gas content distribution field in the prediction area. Four classical spatial interpolation algorithms and five mainstream machine learning and neural network models were selected for comparative analysis. The results showed that the UK-EVF coupling algorithm performed best among all compared methods. The absolute value of the mean relative error of gas content prediction was consistently controlled within 5.1%, and the runtime for distribution field reconstruction did not exceed 10 s. Under small-sample and low-computational-power scenarios, high-precision reconstruction of the gas content distribution field was achieved.

     

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