A New Model for Estimating VS30 Based on Engineering Boreholes Data
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摘要: 地表以下30 m深度的平均剪切波速（VS30）是评价场地条件及场地地震影响的重要参数。我国存在大量深度小于30 m的钻孔数据，此类钻孔无法直接计算得到VS30，阻碍了VS30相关研究成果的推广应用，因此准确估算VS30尤为重要。基于陕西关中平原4个城市590个孔深大于30 m的钻孔测井数据，采用拟合、对比方法开展VS30估算模型研究。研究发现：钻孔不同深度的平均剪切波速(深度Z<30 m)及孔口高程与实算VS30沿深度呈现较强的对数线性相关性，并由此提出了基于钻孔不同深度平均剪切波速及孔口高程的VS30估算对数线性外推新型模型，简称双因素影响外推估算模型。相比速度梯度、双深度参数模型，在计算深度取值越小时，新型模型估算精度越高，稳定性越好，优势越突出。Abstract: The average shear wave velocity to a depth of 30 m below the ground surface （VS30） is an important parameter for evaluating the site condition and the site earthquake response. There are a large number of borehole data with depths of less than 30 m in China, and these borehole data cannot be directly used to calculate VS30 by definition equation code. Under this situation, referencing the correlated research results which include the parameter of VS30 were prevented. It is important to estimate VS30 accurately. Using the data of 590 boreholes with depths greater than 30 m in Guanzhong plain of Shaanxi Province to research the VS30 estimation model. The results show that the average shear wave velocity at different depths (Z<30 m) and the elevation of the borehole have a strong log-linear relationship with the measured value of VS30 along the depth, so a new model of log-linear extrapolation, which comprehensively considers the average shear wave velocity at different depths and the elevation of the borehole, was proposed. Compared with the velocity gradient extrapolation model and the double-depth parameter extrapolation model, when the calculation depth is smaller, the new model has higher estimation accuracy and better stability, and this advantage is more prominent.
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表 1 各模型计算的相关系数及总误差
深度Z或者Z2取值/m 公式（2）模型 公式（3）模型 公式（4）模型 公式（5）模型 r e r e r e r e 5 0.636 0.035 0.644 0.035 0.667 0.054 0.794 0.028 6 0.687 0.033 0.692 0.033 0.745 0.045 0.815 0.027 7 0.735 0.031 0.738 0.031 0.777 0.042 0.836 0.025 8 0.774 0.029 0.775 0.029 0.796 0.04 0.856 0.024 9 0.809 0.027 0.809 0.027 0.825 0.039 0.875 0.022 10 0.836 0.025 0.837 0.025 0.856 0.033 0.889 0.021 11 0.862 0.023 0.863 0.023 0.885 0.028 0.905 0.019 12 0.883 0.021 0.883 0.021 0.902 0.024 0.918 0.018 13 0.903 0.020 0.903 0.020 0.926 0.022 0.931 0.017 14 0.919 0.018 0.920 0.018 0.932 0.020 0.942 0.015 15 0.933 0.016 0.933 0.016 0.948 0.017 0.952 0.014 16 0.945 0.015 0.945 0.015 0.957 0.015 0.960 0.013 17 0.954 0.014 0.955 0.014 0.963 0.014 0.967 0.012 18 0.962 0.012 0.963 0.012 0.971 0.012 0.972 0.011 19 0.969 0.011 0.970 0.011 0.98 0.01 0.977 0.010 20 0.975 0.010 0.976 0.010 0.984 0.008 0.981 0.009 22 0.985 0.008 0.986 0.008 0.994 0.005 0.989 0.007 24 0.994 0.005 0.992 0.006 0.998 0.003 0.994 0.005 26 0.997 0.003 0.997 0.004 0.999 0.002 0.997 0.003 28 0.999 0.002 0.999 0.002 1.000 0.001 0.999 0.002 注：r为相关系数，e为总误差。 
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