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尖点突变理论在云南某铁矿巷道失稳判据的应用
引用本文:安 南,陈俊智,任春芳,杨立新,魏 行,陈 祯. 尖点突变理论在云南某铁矿巷道失稳判据的应用[J]. 有色金属(矿山部分), 2023, 75(6): 74-79
作者姓名:安 南  陈俊智  任春芳  杨立新  魏 行  陈 祯
作者单位:昆明理工大学 国土资源工程学院,昆明理工大学 国土资源工程学院,昆明理工大学 国土资源工程学院,昆明理工大学 国土资源工程学院,昆明理工大学 国土资源工程学院,昆明理工大学 国土资源工程学院
基金项目:国家自然科学基金(U1602232)
摘    要:针对地下矿山在开采过程中,深部巷道围岩稳定控制问题,以云南某自走铁矿1 430 m中段开采巷道为工程背景,基于尖点突变理论,提出构建位移-时间势函数的方法,对矿山现场位移监测数据进行多项式拟合得到势函数突变特征值,并根据特征值正负判断监测点巷道稳定性。利用FLAC3D数值模拟手段对理论计算的准确性进行验证分析。结果表明:基于位移-时间的尖点突变失稳模型能够较为准确地判断巷道围岩的稳定性。

关 键 词:尖点突变理论  位移监测  数值模拟  围岩稳定
收稿时间:2023-04-25
修稿时间:2023-05-17

Application of cusp catastrophe theory in instability criterion of an iron mine roadway in Yunnan
AN Nan,CHEN Junzhi,REN Chunfang,YANG Lixin,WEI Hang and CHEN Zhen. Application of cusp catastrophe theory in instability criterion of an iron mine roadway in Yunnan[J]. , 2023, 75(6): 74-79
Authors:AN Nan  CHEN Junzhi  REN Chunfang  YANG Lixin  WEI Hang  CHEN Zhen
Affiliation:Faculty of Land Resources Engineering,Kunming University of Science and Technology,Faculty of Land Resources Engineering,Kunming University of Science and Technology,Faculty of Land Resources Engineering,Kunming University of Science and Technology,Faculty of Land Resources Engineering,Kunming University of Science and Technology,Faculty of Land Resources Engineering,Kunming University of Science and Technology,Faculty of Land Resources Engineering,Kunming University of Science and Technology
Abstract:In view of the stability control of surrounding rock in deep soft rock roadway during mining in underground mines. Based on the engineering background of the mining roadway in the 1430 middle section of a self-propelled iron mine in Yunnan Province, a method of constructing displacement-time potential function is proposed based on the cusp catastrophe theory. The polynomial fitting of the displacement monitoring data of the mine site is carried out to obtain the mutation eigenvalue of the potential function, and the stability of the monitoring point roadway is judged according to the positive and negative eigenvalues. FLAC3D numerical simulation method is used to verify the accuracy of theoretical calculation. The results show that the cusp catastrophe instability model based on displacement-time can accurately judge the stability of roadway surrounding rock.
Keywords:cusp catastrophe theory  displacement monitoring  numerical simulation  stability of surrounding rock
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