Relationship between Shear Wave Velocity and Depth for Conventional Soils in the Bohai Sea Area
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摘要: 土层的剪切波速是岩土地震工程中重要的物理量，本文利用多年来在渤海海域地震安全性评价中积累的资料，研究了渤海常见土类剪切波速和埋深的关系。利用非线性最小二乘法，采用指数函数、一次函数、二次函数、幂函数、"幂函数+常数函数"、"幂函数+一次函数" 6种回归模型对各类土的剪切波速和埋深的关系进行了回归分析，以拟合优度以及最小二乘拟合的误差平方和为评价指标对比了各种模型拟合效果的优劣。结果表明，"幂函数+一次函数"回归模型的拟合效果最好。此外，本文给出了该海域常见的7类土在此回归模型下的拟合公式的系数，以供工程中参考。Abstract: Shear wave velocity of soil layers is an important physical index in geotechnical earthquake engineering. Based on the experimental data accumulated over the years in the seismic safety evaluation research projects of the Bohai sea area, relationship between shear wave velocity and depth of conventional soils has been studied. In order to achieve the best fitting of experimental data, 6 regression models including exponential function, linear function, quadratic function, power function, power function combined with constant function, power function combined with linear function, have been used for regression analysis through nonlinear least square fitting method. The goodness-of-fit has been used as an index to evaluate the matching effect. The results showed that, the proposed form of function which combining power function with linear function has the best matching effect for experimental velocity data. Furthermore, the fitting coefficients of proposed function for 7 kinds of conventional soils in the Bohai Sea area have been presented for reference in engineering.
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Key words:
- The Bohai Sea /
- Shear wave velocity /
- Depth /
- Regression analysis /
- Fitting
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图 3 粉质粘土在6种剪切波速-埋深回归模型下的拟合结果
Figure 3. Fitting curves of silty clay for 6 kinds of regression models
图 4 粉质细砂在6种剪切波速-埋深回归模型下的拟合结果
Figure 4. Fitting curves of silty fine sand for 6 kinds of regression models
图 5 粉砂在6种剪切波速-埋深回归模型下的拟合结果
Figure 5. Fitting results of silt for 6 kinds of regression models
图 6 粉土在6种剪切波速-埋深回归模型下的拟合结果
Figure 6. Fitting results of floury soil for six kind of regression models
图 7 砂质粉砂在6种剪切波速-埋深回归模型下的拟合结果
Figure 7. Fitting curves of sandy silt for 6 kinds of regression models
图 8 砂质粉土在6种剪切波速-埋深回归模型下的拟合结果
Figure 8. Fitting curves of sandy floury soil for 6 kinds of regression models
图 9 细砂在6种剪切波速-埋深回归模型下的拟合结果
Figure 9. Fitting curves of fine sand for 6 kinds of regression models
表 1 各类土在各回归模型下的拟合优度
Table 1. Goodness-of-fits of 7 kinds of soils under different regression models
拟合函数 土类 粉质粘土 砂质粉砂 粉砂 粉质细砂 细砂 砂质粉土 粉土 R2 RSS /105 R2 RSS /104 R2 RSS /104 R2 RSS /105 R2 RSS /104 R2 RSS /103 R2 RSS /104 （1）v=aebh 0.861 3.46 0.865 4.81 0.883 3.20 0.873 9.83 0.900 3.26 0.925 9.36 0.865 2.45 （2）v=ah+b 0.915 2.10 0.901 3.51 0.913 2.37 0.909 7.04 0.916 2.73 0.962 4.79 0.928 1.31 （3）v=ah2+bh+c 0.915 2.10 0.901 3.51 0.913 2.37 0.909 7.04 0.916 2.73 0.962 4.79 0.928 1.31 （4）v=ahb 0.935 1.61 0.926 2.64 0.901 2.71 0.946 4.19 0.922 2.55 0.992 1.03 0.979 0.38 （5）v=ahb+c 0.943 1.42 0.932 2.42 0.919 2.22 0.949 3.91 0.928 2.33 0.992 0.94 0.981 0.34 （6）v=ahb+ch+d 0.944 1.40 0.934 2.33 0.920 2.20 0.950 3.82 0.931 2.25 0.993 0.91 0.981 0.34 注：R2表示拟合优度，RSS表示误差平方和，其单位为m2/s2。 
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表 2 各土类采用v=ahb+ch+d形式拟合的系数
Table 2. Fitting coefficients for 7 kinds of soils while using the formula v=ahb+ch+d
v=ahb+ch+d拟合系数 土类 粉质粘土 砂质粉砂 粉砂 粉质细砂 细砂 砂质粉土 粉土 a 76.4017 123.9201 141.3937 120.0582 145.2684 101.4440 49.1360 b 0.2760 0.1907 0.1190 0.2241 0.1630 0.2769 0.4209 c 1.4209 1.1374 1.7891 0.7949 1.1223 0.4958 1.6224e-6 d 20.2951 0.0013 0.0049 3.0568e-5 5.2199e-5 1.0829e-5 62.3314
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陈义兰, 吴永亭, 刘晓瑜等, 2013.渤海海底地形特征.海洋科学进展, 31(1):75-82. http://www.cnki.com.cn/Article/CJFDTOTAL-HBHH201301010.htm 程祖锋, 李萍, 李燕等, 1997.深圳地区部分岩土类型剪切波速与深度的关系分析.工程地质学报, 5(2):163-168. http://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ702.010.htm 狄圣杰, 汪明元, 张昆等, 2014.江苏近海地层原位剪切波速相关特性及预测方法研究.海洋学报, 36(3):127-133. http://www.cnki.com.cn/Article/CJFDTOTAL-SEAC201403014.htm 高玉峰, 刘汉龙, 2003.合肥膨胀土剪切波速的特征分析.岩土工程学报, 25(3):371-373. http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200303026.htm 胡钧, 杜坚, 1997.上海场地土的脉动特性及剪切波速特征.物探与化探, 21(4):305-307, 299. http://www.cnki.com.cn/Article/CJFDTOTAL-WTYH199704010.htm 刘红帅, 郑桐, 齐文浩等, 2010.常规土类剪切波速与埋深的关系分析.岩土工程学报, 32(7):1142-1149. http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201007029.htm 齐鑫, 丁浩, 2012.下辽河平原区剪切波速与土层埋深关系分析.世界地震工程, 28(3):151-156. http://www.cnki.com.cn/Article/CJFDTOTAL-SJDC201203028.htm 邱志刚, 薄景山, 罗奇峰, 2011.土壤剪切波速与埋深关系的统计分析.世界地震工程, 27(3):81-88. http://www.cnki.com.cn/Article/CJFDTOTAL-SJDC201103013.htm 苏旭, 杨丽萍, 邹海宁, 2009.西宁市区土层剪切波速随深度变化特征.高原地震, 21(1):12-16. http://www.cnki.com.cn/Article/CJFDTOTAL-GYDZ200901001.htm 徐秦, 薛茜, 徐睿, 1992.浅论曲线拟合中的相关指数R2.中国卫生统计, 9(6):44-45. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=zgwt199206022&dbname=CJFD&dbcode=CJFQ 战吉艳, 陈国兴, 刘建达, 2009.苏州城区深软场地土剪切波速与土层深度的经验关系.世界地震工程, 25(2):11-17. http://www.cnki.com.cn/Article/CJFDTOTAL-SJDC200902002.htm 张世强, 2002.曲线回归的拟合优度指标的探讨.中国卫生统计, 19(1):9-11. http://www.cnki.com.cn/Article/CJFDTOTAL-ZGWT200201003.htm 赵淑芳, 杨宏亮, 2012.场地剪切波速的特征分析.云南大学学报(自然科学版), 34(S2):267-271. http://www.cnki.com.cn/Article/CJFDTOTAL-YNDZ2012S2045.htm 中国科学院海洋研究所海洋地质研究室, 1985.渤海地质.北京:科学出版社, 1-11. 周锡元, 王广军, 苏经宇, 1990.场地·地基·设计地震.北京:地震出版社, 28-172. Hardin B. O., Drnevich V. P., 1972. Shear modulus and damping in soils:design equations and curves. Journal of Soil Mechanics & Foundations Division, 98(7):667-692. Lew M., Chieruzzi R., Campbell K. W., et al, 1981. Correlations of seismic velocity with depth. In:Proceedings of the 1st International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics(ICRA GEESD) U.S.A. St. Louis, Missouri, 1981. University of Missouri-Rolla. -
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