基于优化克里金插值的煤层模型构建研究

    Research on the construction of coal seam model based on optimized Kriging interpolation

    • 摘要: 为了建立精细化的地质模型,从而实现地质透明与开采工作的科学规划,进行基于优化克里金插值构建煤层模型的研究,揭露了煤层的厚度分布走向与煤炭发热量差异。首先,通过区域化变量生成原理获得具有规律性和随机性的二维区域化变量随机场作为模拟煤层地质条件的数据集合,并依据其变异系数的高低来表征不同的地质条件,提升了验证插值方法效果的数据质量;其次,引入蚁群-粒子群算法(ACO-PSO)对普通克里金进行优化,克服空间变异性对插值方法的影响,提高了方法的精度与鲁棒性;再次,分别以区域化随机变量数据集合与淮北杨柳煤矿10号煤层钻孔勘探的实测煤层厚度和发热量作为原始数据,对普通克里金与优化克里金插值方法进行误差对比;最后,利用优化方法建立块体模型并且结合井田边界、工作面边界线和巷道信息等约束条件构建10号煤层的煤层模型。误差对比实验结果表明:在四类变异性由低到高的区域化变量数据集中,优化方法的均方根误差分别降低了35.4%、18.4%、20.4%和15.8%;依托10号煤层的254个见煤钻孔实测煤层厚度与发热量数据的估值内推对比中,同样是优化方法的误差更低。研究结果证明,在煤层模型构建工作中,优化克里金插值方法的效果较好且应用场景更广。

       

      Abstract: To establish a refined geological model, thereby achieving geological transparency and scientifically planning mining operations, research is conducted on constructing a coal seam model using optimized Kriging interpolation, revealing the distribution and calorific value differences in coal thickness. Firstly, a dataset simulating coal seam geological conditions is created by generating a two-dimensional regionalized variable random field with both regularity and randomness based on the principle of regionalized variable, and the data quality for validating interpolation methods is enhanced by characterizing different geological conditions through their variability coefficients. Secondly, an Ant Colony Optimization-Particle Swarm Optimization (ACO-PSO) algorithm is introduced to optimize the ordinary Kriging method, overcoming the impact of spatial variability on interpolation methods and improving accuracy and robustness of the method. Thirdly, an error comparison is conducted between ordinary Kriging and the optimized interpolation methods using both the regionalized random variable dataset and the actual measured coal thickness and calorific values from exploratory boreholes in the No.10 coal seam at the Yangliu Coal Mine in Huaibei. Finally, using the optimized method, a block model is constructed, and a model of the No.10 coal seam is built by integrating constraints such as wellfield boundaries, working face boundaries, and roadway information. Error comparison experiments show that among the four classes of regionalized variable datasets with increasing variability, the root mean square error of the optimized method decreased by 35.4%, 18.4%, 20.4%, and 15.8%, respectively. Similarly, lower errors are observed in the internal extrapolation comparison based on the coal thickness and calorific values measured from 254 coal-exposing boreholes in the No.10 seam. This paper demonstrates that the optimized Kriging interpolation method provides better performance and a broader application scenario in the construction of coal seam model.

       

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