基于组合赋权的煤矿采空区岩体完整性模糊综合评价

Fuzzy comprehensive evaluation of rock mass integrity in coal mine goaf based on combined weighting

  • 摘要: 目前针对煤矿采空区岩体完整性评价研究主要依赖岩体质量指标(RQD)作为核心参数,缺乏将裂隙发育程度、空间分布特征及RQD等参数融合的多维度评价体系。仅依靠RQD评估岩体质量不能全面表征裂隙的空间分布特征,导致评价结果的可靠性和普适性存在局限。针对该问题,提出了一种基于组合赋权的岩体完整性模糊综合评价方法。该方法通过改进的YOLOv8网络模型从孔内电视图像中提取出裂隙密度、裂隙总长度、裂隙最大宽度、裂隙率及RQD等5项关键参数,构建了岩体多维度评价指标体系;利用层次分析法(AHP)与熵权法(EWM)分别确定主客观权重,通过组合赋权实现权重的合理分配;建立各指标对应于裂隙发育等级的隶属度函数,运用模糊矩阵运算实现岩体完整性的等级划分。以山东某煤矿采空区349~350 m深度区间数据为例开展验证分析,结果表明:基于组合赋权的岩体完整性模糊综合评价方法在96.3%的钻孔深度区间内与专家判定结果一致,优于AHP方法(94.9%)和EWM方法(94.4%)的评价效果,有效提升了岩体完整性评价的准确性与可靠性。

     

    Abstract: Current studies on the evaluation of rock mass integrity in coal mine goafs mainly rely on the Rock Quality Designation (RQD) as the core parameter, lacking a multidimensional evaluation system that integrates parameters such as fracture development degree, spatial distribution characteristics, and RQD. Evaluating rock mass quality solely based on RQD cannot comprehensively represent the spatial distribution characteristics of fractures, leading to limitations in the reliability and universality of the evaluation results. To address this problem, a fuzzy comprehensive evaluation model of rock mass integrity based on combined weighting was proposed. The model extracted five key parameters, including fracture density, total length, maximum width, fracture rate, and RQD, from borehole television images using an improved YOLOv8 network model to establish a multidimensional evaluation indicator system for rock mass. The Analytic Hierarchy Process (AHP) and Entropy Weight Method (EWM) were used to determine the subjective and objective weights, respectively, and reasonable weight distribution was achieved through combined weighting. Membership functions were established for each indicator corresponding to the fracture development degrees, and fuzzy matrix operations were applied to achieve the classification of rock mass integrity level. A validation analysis was conducted using data from the 349–350 m depth interval of a coal mine goaf in Shandong Province. The results showed that the Fuzzy Comprehensive Evaluation model for rock mass integrity based on combined weighting was consistent with expert judgment results across 96.3% of the borehole depth intervals, outperforming the AHP method (94.9%) and EWM method (94.4%). This approach effectively improved the accuracy and reliability of the rock mass integrity evaluation.

     

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