The concepts of rock strength intervals are presented in this work, furthermore, central values of intervals and their corresponding credibility are provided using two-case study based on blind data theory and fuzzy i...The concepts of rock strength intervals are presented in this work, furthermore, central values of intervals and their corresponding credibility are provided using two-case study based on blind data theory and fuzzy interval estimation. 60 granite specimens are first tested, the compressive strength interval and tensile strength interval are [ 103.68, 219.6 l ] and [7.53, 11,86] MPa, while the tested mean values of compressive strength and tensile strength are 152.86 and 10.14 MPa, the credibilities are less than 58.4% and around 70.4%, respectively, the credibility of shear strength is between 40% and 60%. Then 70 other rock specimens are designed and tested, the similar conclusions can be reached. The results show that the conventional definite values are the particular values within the intervals, and the credibility of them often fails to reach the high-precision engineering requirement. The results demonstrate the feasibility and application potential of this proposed algorithm for the engineering practice. The references for engineering value selection of rock strength under different credibility or according to frequency distribution of central values are provided to increase the reliability and precision of calculation.展开更多
In order to study the mechanism of water inrush from a concealed, confined karst cave, we established a fluid–solid coupling model of water inrush from a concealed karst cave ahead of a roadway and a strength reducti...In order to study the mechanism of water inrush from a concealed, confined karst cave, we established a fluid–solid coupling model of water inrush from a concealed karst cave ahead of a roadway and a strength reduction method in a rock pillar for preventing water inrush based on catastrophic theory. Fluid–solid coupling effects and safety margins in a rock pillar were studied. Analysis shows that rock pillar instability, exerted by disturbance stress and seepage stress, is the process of rock pillar catastrophic destabilization induced by nonlinear extension of plastic zones in the rock pillar. Seepage flow emerges in the rock pillar for preventing water inrush, accompanied by mechanical instability of the rock pillar. Taking the accident of a confined karst cave water-inrush of Qiyi Mine as an example, by studying the safety factor of the rock pillar and the relationship between karst cave water pressure and thickness of the rock pillar,it is proposed that rock pillar thickness with a safety factor equal to 1.5 is regarded as the calculated safety thickness of the rock pillar, which should be equal to the sum of the blasthole depth, blasting disturbance depth and the calculated safety thickness of the rock pillar. The cause of the karst water inrush at Qiyi Mine is that the rock pillar was so small that it did not possess a safety margin. Combining fluid–solid coupling theory, catastrophic theory and strength reduction method to study the nonlinear mechanical response of complicated rock engineering, new avenues for quantitative analysis of rock engineering stability evaluation should be forthcoming.展开更多
以锦屏I级水电站坝址微新大理岩岩体原位大剪试验结果为例,分析岩体质量指标与抗剪强度参数间的相关性。利用Copula理论可将边缘分布和相关结构分开研究的优点,建立小样本条件下各变量的边缘分布函数,并在分析岩体质量指标Q与抗剪强度参...以锦屏I级水电站坝址微新大理岩岩体原位大剪试验结果为例,分析岩体质量指标与抗剪强度参数间的相关性。利用Copula理论可将边缘分布和相关结构分开研究的优点,建立小样本条件下各变量的边缘分布函数,并在分析岩体质量指标Q与抗剪强度参数f,c间相关结构特点的基础上构造拟合Q-f,Q-c间关系的最优Copula函数。对于相同岩性的同类岩体,在已知Q条件下求条件概率便可得到抗剪强度参数估值的保证率,或可计算一定保证率下的抗剪参数估值。最后运用该函数分析常用的优定斜率法、最小二乘法的保证率,并与Hoek-Brown准则估值进行比较。研究结果表明,岩体质量指标与抗剪断内摩擦因素f呈较高的正相关关系,与抗剪断黏结力c则呈较高的负相关关系,而具有对称结构的Nelsen NO 1和Nelsen NO 2则分别是拟合Q-f、Q-c间关系的最优Copula函数。常用的最优斜率法与最小二乘法由于忽略岩体质量指标与抗剪强度参数的相关性,因此造成较大的偏差,而具有保证率为0.8的抗剪强度估值与Hoek-Brown经验准则相比更接近实际值。该方法注重充分地利用现场有限的数据信息,可以得到具有一定保证率的抗剪强度参数估值,为岩体抗剪强度参数估值提供一种新的途径。展开更多
基金Project(2011DA105287-MS201605)supported by the State Key Laboratory of Coal Mine Disaster Dynamics and Control,ChinaProject(51374242)supported by the National Natural Science Foundation of ChinaProject(106112016CDJXY240004)supported by the Fundamental Research Funds for the Central Universities,China
文摘The concepts of rock strength intervals are presented in this work, furthermore, central values of intervals and their corresponding credibility are provided using two-case study based on blind data theory and fuzzy interval estimation. 60 granite specimens are first tested, the compressive strength interval and tensile strength interval are [ 103.68, 219.6 l ] and [7.53, 11,86] MPa, while the tested mean values of compressive strength and tensile strength are 152.86 and 10.14 MPa, the credibilities are less than 58.4% and around 70.4%, respectively, the credibility of shear strength is between 40% and 60%. Then 70 other rock specimens are designed and tested, the similar conclusions can be reached. The results show that the conventional definite values are the particular values within the intervals, and the credibility of them often fails to reach the high-precision engineering requirement. The results demonstrate the feasibility and application potential of this proposed algorithm for the engineering practice. The references for engineering value selection of rock strength under different credibility or according to frequency distribution of central values are provided to increase the reliability and precision of calculation.
基金Financial supports for this work, provided by the National Natural Science Foundation of China (No. 51274097)the Scientific Research Fund of Hunan Provincial Education Department of China (No. 13A020)the Open Projects of State Key Laboratory of Coal Resources and Safe Mining, CUMT (No. 13KF03)
文摘In order to study the mechanism of water inrush from a concealed, confined karst cave, we established a fluid–solid coupling model of water inrush from a concealed karst cave ahead of a roadway and a strength reduction method in a rock pillar for preventing water inrush based on catastrophic theory. Fluid–solid coupling effects and safety margins in a rock pillar were studied. Analysis shows that rock pillar instability, exerted by disturbance stress and seepage stress, is the process of rock pillar catastrophic destabilization induced by nonlinear extension of plastic zones in the rock pillar. Seepage flow emerges in the rock pillar for preventing water inrush, accompanied by mechanical instability of the rock pillar. Taking the accident of a confined karst cave water-inrush of Qiyi Mine as an example, by studying the safety factor of the rock pillar and the relationship between karst cave water pressure and thickness of the rock pillar,it is proposed that rock pillar thickness with a safety factor equal to 1.5 is regarded as the calculated safety thickness of the rock pillar, which should be equal to the sum of the blasthole depth, blasting disturbance depth and the calculated safety thickness of the rock pillar. The cause of the karst water inrush at Qiyi Mine is that the rock pillar was so small that it did not possess a safety margin. Combining fluid–solid coupling theory, catastrophic theory and strength reduction method to study the nonlinear mechanical response of complicated rock engineering, new avenues for quantitative analysis of rock engineering stability evaluation should be forthcoming.
文摘以锦屏I级水电站坝址微新大理岩岩体原位大剪试验结果为例,分析岩体质量指标与抗剪强度参数间的相关性。利用Copula理论可将边缘分布和相关结构分开研究的优点,建立小样本条件下各变量的边缘分布函数,并在分析岩体质量指标Q与抗剪强度参数f,c间相关结构特点的基础上构造拟合Q-f,Q-c间关系的最优Copula函数。对于相同岩性的同类岩体,在已知Q条件下求条件概率便可得到抗剪强度参数估值的保证率,或可计算一定保证率下的抗剪参数估值。最后运用该函数分析常用的优定斜率法、最小二乘法的保证率,并与Hoek-Brown准则估值进行比较。研究结果表明,岩体质量指标与抗剪断内摩擦因素f呈较高的正相关关系,与抗剪断黏结力c则呈较高的负相关关系,而具有对称结构的Nelsen NO 1和Nelsen NO 2则分别是拟合Q-f、Q-c间关系的最优Copula函数。常用的最优斜率法与最小二乘法由于忽略岩体质量指标与抗剪强度参数的相关性,因此造成较大的偏差,而具有保证率为0.8的抗剪强度估值与Hoek-Brown经验准则相比更接近实际值。该方法注重充分地利用现场有限的数据信息,可以得到具有一定保证率的抗剪强度参数估值,为岩体抗剪强度参数估值提供一种新的途径。
