基于综合赋权与多维联系云模型的岩体可爆性评价方法

Evaluation method of rock mass blastability based on integrated weighting and multidimensional connection cloud model

  • 摘要: 对岩体可爆性进行合理准确分级是优化爆破参数设计和降低矿山开采成本的重要前提。针对可爆性评价指标的模糊性与随机性以及单一赋权法存在主观随意性或客观数据偏差等问题,本文通过选取岩石单轴抗压强度、岩石容重、岩体完整性系数和炸药单耗为评价指标,并据此确定了分级标准,建立了岩体可爆性评价指标体系;其次,通过引入距离函数,计算了改进层次分析法和熵权法的权重偏好度系数,获得了更为合理准确的指标综合权重;最后,通过集对分析理论改进多维联系云模型,并结合最大隶属度原则,提出了一种基于综合赋权-多维联系云模型的岩体可爆性评价方法,利用29组工程实例样本,对模型可靠性进行了验证,同时,采用Kendall相关性分析评估了各指标与岩体可爆性之间的相关程度。研究结果表明:本文模型对29组样本的评价准确率约为90%,与BP神经网络评价结果高度一致,验证了模型的可靠性。四个指标中,岩石单轴抗压强度与岩体可爆性之间的相关性最强,其次为岩体完整性系数和岩石容重,炸药单耗最弱。此外,不同指标之间的相关系数主要集中在0.03~0.26之间,相关性较弱,表明选取的指标能从不同维度独立反映岩体的特征。

     

    Abstract: Accurate and rational classification of rock mass blastability is a critical prerequisite for optimizing blasting parameters and reducing mining costs. To address the fuzziness and randomness inherent in blastability evaluation indices, as well as the issues of subjective bias or objective data deviation found in single-weighting methods, this study establishes a comprehensive evaluation index system. uniaxial compressive strength, density, rock mass integrity coefficient, and specific explosive consumption are selected as key evaluation indicators, with corresponding classification standards defined. Furthermore, a distance function is introduced to calculate the weight preference coefficients for an improved analytic hierarchy process and the entropy weight method, thereby deriving more rational and accurate integrated weights. Finally, the multidimensional connection cloud model was improved by incorporating set pair analysis theory. Combined with the principle of maximum degree of membership, a novel rock mass blastability evaluation method based on integrated weighting and the multidimensional connection cloud model was proposed. The reliability of the model was validated using 29 sets of engineering case samples. Concurrently, Kendall correlation analysis was employed to assess the degree of correlation between each index and rock mass blastability. The results demonstrate that the proposed model achieves an evaluation accuracy of approximately 90% across the 29 samples, showing high consistency with BP Neural Network results. Among the four indicators, uniaxial compressive strength exhibits the strongest correlation with blastability, followed by the rock mass integrity coefficient and density, while specific explosive consumption shows the weakest correlation. Additionally, the correlation coefficients between different indicators range primarily from 0.03 to 0.26, indicating weak inter-correlation and confirming that the selected indices independently reflect rock mass characteristics from distinct dimensions.

     

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