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基于正态分布置信区间分析法求岩石单轴抗压强度

Uniaxial Compressive Strength of Rock Calculated With Confidence Interval Analysis Method Based on Normal Distribution

  • 摘要: 为求得更准确的岩石单轴抗压强度,基于岩石单轴抗压强度实验室测定方法,分析了实验室岩石试件测试过程中由于试件尺寸、试件含水率、实验仪器等因素引起的试验误差,因而采用求平均值法处理试验数据结果与实际结果相差较大。因此据参数估计中标准正态分布N(0,1)的t分布性质,引入一个与众数相关的新函数,对试验数据进行置信区间分析,得出岩石单轴抗压强度为47.59MPa,与求平均值法得到的46.74MPa相比更接近现场实测值49.00MPa,表明置信区间分析法优于求平均值法。

     

    Abstract: In order to measure more accurate uniaxial compressive strength of the rock, based on the lab measuring method of the uniaxial compressive strength, t he paper analyzed the experiment error caused by the specimen size, specimen water content, experiment instrument and other factors during the rock specimen meas uring process in the lab.Thus there was a big difference between the experiment data results processed with the average value method and the actual results.Therefor e, based on the t distribution properties of the normal distribution N (0, 1) in the parameter estimation, a new function related to the mode was applied to analyze the co nfidence interval of the experiment data.In comparison with 46.74 MPa obtained with the average value method, 47.59 MPa of the rock uniaxial compressive strength 0 btained was more closed to 49.00 MPa of the site measured value.The confidence interval analysis method was better than the average value method.

     

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