可爆性分级的博弈论物元可拓预测模型及其应用

Predication model of game theory-matter-element extension for blastability classification and its application

建立了可爆性分级预测的博弈论物元可拓模型,以弥补现有岩体可爆性分级方法的不足。首先确定岩体可爆性分级指标与分级标准,通过隶属函数对分级标准进行隶属化,并确定节域隶属化范围,弥补了特征值可能超出节域而使关联函数失效的缺陷;然后运用博弈论,将评价指标客观动态权重与主观静态权重优化、融合,克服了传统物元可拓评价中单纯依靠特征值赋权而忽略特征本身对评价结果的重要性的弊端;最后通过最大关联度准则对岩体可爆性等级进行预测,从而建立可爆性分级的博弈论物元可拓预测模型。工程应用研究结果表明,在锌铜矿体中顶板围岩和矿体中等易爆,下盘围岩较易爆,预测结果与实际工程地质情况有较好的一致性,并提出了相应的矿山工程爆破控制措施。

In this paper, in order to improve the present methods of rock blastability classification, a prediction model of game theory-matter-element extension for blastability classification was estab- lished. Firstly, based on the analysis of main causes of blastbility, three indexes were chosen as the evaluation indicators and the classification standards were confirmed. Meanwhile, in order to remedy the defect of the correlation function cannot be calculated when the eigenvalue exceeds the controlled field, the blastability classification standards were normalized. Secondly, based on the game theory, the synthetic weight values of eigenvalue were determined by integrating the objective-dynamic weight and subjective-static weight, which can solve the problems occurred in traditional matter-element ex- tension assessment method, that is, the indicator weight only depends on the eigenvalue, and ignores the significance of feature. Finally, the classification of blastability was predicted by using the maximum incidence degree criterion, and the prediction model of game theory-matter-element extension for blastability classification was proposed. The application results show that the blastability of surroundingrock and ore body in the roof is of medium-grade, and the surrounding rock in footwall is of relatively low-grade. The predication results agree well with the project reality geological situation, thus, the corresponding control measures about the blasting in mine engineering were put forward.