Abstract

In this paper, combined with fuzzy analytic hierarchy process (FAHP), information entropy theory, and set pair analysis (SPA) theory, an improved set pair analysis model (EFAHP-SPA) for open-pit mine slope stability evaluation based on entropy method and FAHP is proposed. Taking the east-side slope of Tonglvshan north open-pit mine in Daye as an example, the proposed method is verified. First, an open-pit mine slope stability evaluation index system with 14 indicators in 4 categories, namely the topography and geomorphology, geological structure, hydrogeology, and other factors, have been constructed. Second, the objective weight and subjective weight of each evaluation index are calculated by entropy and fuzzy analytic hierarchy process, and then the comprehensive weight of the evaluation index is estimated based on subjective weight and objective weight. Afterward, the single-index connection degree between the evaluation index and the evaluation standard of the secondary subsystem is evaluated considering the improved set pair analysis theory, and the comprehensive connection degree of the system is obtained by combining it with the comprehensive weight of each evaluation index. Finally, the confidence criterion is established to discern the risk grade of slope stability in the east-side slope of the north open pit in Daye Tonglvshan mine. Moreover, case studies and comparisons of the proposed model with fuzzy comprehensive evaluation method and Entropy-SPA model were performed to confirm the validity and reliability. The results show that the evaluation results of the proposed EFAHP-SPA model are consistent with the actual situation of open-pit mines and the evaluation results of entropy-SPA model and are somewhat different from those of fuzzy comprehensive evaluation method. It indicates that the proposed EFAHP-SPA evaluation model can objectively evaluate the slope stability of the open-pit mine.

Highlights

  • With the increasing scale and depth of open-pit mining, the collapse and landslide geological disasters caused by mining occur frequently, which seriously affects the production safety of the mine as well as the surrounding buildings [1,2,3]

  • Taking the east-side slope of Tonglvshan north open-pit mine in Daye as the research object, aiming at the problems of uncertainty and unreasonable weight calculation in the stability evaluation of the open-pit slope, this paper puts forward an improved set pair analysis model based on information entropy and fuzzy analytic hierarchy process

  • Whether the weighting of evaluation indexes is reasonable will seriously affect the evaluation results of stability. e comprehensive weight optimization model based on information entropy and fuzzy analytic hierarchy process can fully consider the influence of human subjective factors, and reflect the contribution of index measurement, minimize uncertainty, and enhance the rationality of evaluation results

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Summary

Introduction

With the increasing scale and depth of open-pit mining, the collapse and landslide geological disasters caused by mining occur frequently, which seriously affects the production safety of the mine as well as the surrounding buildings [1,2,3]. To reduce the loss of human life and property and ensure the normal operation of equipment, it is necessary to accurately evaluate the slope stability of open-pit mine. Slope stability evaluation is a multifactor, uncertain nonlinear problem, such as complicated external disturbance and the changeable geological environment, which makes the multifactor influence mechanism unable to be quantified, and there is no unified evaluation index and dimension for each influencing factor, and the acquisition of physical and mechanical parameters has one-sidedness and uncertainty [4,5,6]. Erefore, the slope stability rating of open-pit mine has always been one of the main problems in slope engineering. In the last few decades, with the continuous expansion of open-pit mining scale and the complexity of rock and soil storage environments, the traditional slope stability analysis theory faces a major challenge in engineering [7,8,9]. Owing to the uncertainty of influencing factors and the difference of engineering geological

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