Uncertainty Evaluation Method for Soil Shear Wave Velocity Prediction Models
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摘要: 土体剪切波速Vs值因沉积土的天然异质性、试验人员操作误差、仪器精度等因素的影响而具有十分显著的不确定性。当Vs的实测值不足时,可建立Vs与土体埋深h之间的回归方程以对任意h下的Vs值进行预测。大量实测数据表明,土体Vs值的均值和标准差随h呈现明显的变化。现有研究中对回归方程产生的Vs值的不确定性的评价多集中在对回归方程可决系数和预测值与实测值之间的残差的大小上,而无法体现Vs预测值的标准差随深度的变化。以一定数量的Vs实测值为基础,采用Shi等提出的SVM模型建立了土体Vs值和h之间的回归方程,使用点估计法分析了回归方程中因拟合参数的不确定性经误差传递所引起的Vs预测值的标准差随h的变化以及回归方程对拟合参数不确定性的敏感程度。使用逆nataf变换对点估计法预测的Vs值进行了对比验证,两者结果基本一致,证明了点估计法的可靠性。使用点估计法预测的Vs值进行场地地震反应分析,发现基于点估计法预测的Vs值均值的β谱在0.25-5 s的周期范围内显著大于规范Ⅱ类场地的动力系数设计谱。使用点估计法预测的Vs均值进行场地反应可以更合理得推测该区域的地震动参数的变异范围。
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Abstract: The value of the soil shear wave velocity Vs measurement value has a very large uncertainty due to the natural heterogeneity of sedimentary soils, operator error, and instrument accuracy. When the measured value of Vs is insufficient, the regression equation between Vs and soil depth h can be established to predict the Vs value under any h. The regression equation is based on the measured value of Vs. A large number of measured data show that the mean and standard deviation of the soil Vs values show significant variations with h. The evaluation of the uncertainty of the Vs values generated by the regression equation in the existing studies mostly focuses on the size of the decidable coefficient of the regression equation and the residual difference between the predicted values and the measured values, and fails to reflect the variation of the standard deviation of the predicted Vs values with depth. Based on a certain number of measured Vs values, the regression equation between soil Vs and h was established by using the SVM (Sediment Velocity Model) proposed by Shi and Domniki, a detailed analysis was conducted on the fluctuation of the uncertainty of the Vs prediction value with respect to h caused by the uncertainty of the fitting parameters in the model through error propagation. Based on the fluctuation, the sensitivity of the fitting parameters to the model was established. The Vs values predicted by the point estimation method were compared and verified using the inverse Nataf transform, and the results were basically the same, proving the reliability of the point estimation method. The seismic response of the site is analyzed for the range of Vs values predicted by the point estimation method, the beta spectra of the mean Vs values predicted based on the point estimation method were found to be significantly larger than the design spectra of the dynamic coefficients for the regulated Class II sites in the period range of 0.25-5 s. Using the Vs value predicted by the point estimation method, it is possible to more reasonably estimate the range of variation of seismic motion parameters in the area. -
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