An estimation model of high frequency attenuation coefficient of ground motion for local site
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摘要: 采用随机有限断层法进行地震动模拟时，选用合理的参数描述特定局部场地近地表高频衰减特征，对评价地震动模拟结果的正确与否具有重要的实践意义。 在工程场址地震动参数预测中，如何快速确定该参数的取值，是实际应用中亟需解决的问题。首先对场地高频衰减系数κ0和平均剪切波速VS30的相关性进行了分析；然后，选取国内外学者基于计算得到的546个κ0系数，采用一定时窗内的κ0均方根值讨论其随平均剪切波速VS30增大的变化趋势。 结果表明，虽然κ0具有明显的区域差异性，但其均方根值随着VS30的增大，呈现出逐渐减小的趋势。 为了得到合理的κ0估计模型，分别采用线性函数、多项式函数、对数线性函数和双对数线性函数对κ0均方根值和vS30关系进行初步拟合，结果表明，对数线性函数能够较好地描述κ0和VS30之间的关系。 最后，基于筛选得到的477个数据，采用最小二乘法对模型参数进行了拟合，建立了适合于工程应用的κ0- vS模型。经过对模型适用性的分析表明，本研究所构建的κ0估计模型在预测工程场址地震动参数时能够合理估计地震动的高频衰减影响。
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关键词:
- 地震动模拟 /
- 高频衰减系数κ0 /
- 平均剪切波速vS30 /
- 最小二乘法
Abstract: When using the stochastic finite fault method for ground motion simulation, how to select reasonable parameters to describe the near-surface high-frequency attenuation characteristics of a specific local site has important practical significance for evaluating the correctness of ground motion simulation results. In the prediction of ground motion parameters of engineering sites, how to quickly determine the value of this parameter is an urgent problem to be solved in practical applications. Firstly, the correlation that between the high-frequency attenuation coefficient κ0 of the site and the average shear wave velocity vS30 was analyzed; Then, based on the 546 κ0 coefficients calculated by domestic and foreign scholars, the root mean square value of κ0 in a certain time window was used to discuss its variation trend with the increase of the average shear wave velocity vS30.The results showed that although κ0 had obvious regional differences, its root mean square value showed a decreasing trend with the increase of vS30In order to obtain a reasonable κ0 estimation model, the linear function, polynomial function, logarithmic linear function and log-log linear function were used to preliminarily fit the relationship between the root mean square value of κ0 and vS30. The results show that the logarithmic linear function can be better describe the relationship between κ0 and vS30. Finally, based on the 477 data obtained from the screening, the model parameters were fitted by the least square method, and a practical model of κ0- vS30 suitable for engineering applications was obtained. The analysis of the applicability of the model shows that the κ0 estimation model constructed in this study can reasonably estimate the high-frequency attenuation of ground motion when predicting site ground motion parameters. -
图 1 本文研究采用的κ0值随平均剪切波速 vS30的分布
Figure 1. The distribution of κ0 value used in this study with mean shear wave velocity vS30
图 5 对数线性函数拟合以及和其他模型对比
Figure 5. Log-linear function fitting and comparison with other models
表 1 本文研究采用的κ0数目、来源及相应的VS分布范围
Table 1. The number and source of κ0 used in this study and the corresponding distribution range of VS
序号 数据个数 vS30范围（m/s） 地区 文献 1 60 106.8—904.2 日本 Cabas et al （2017） 2 16 213.2—744.1 日本 Cabas et al （2017） 3 50 507.7—1 433.4 日本 Van Houtte et al （2011） 4 27 1 106.8— 2 394.0 日本 Van Houtte et al （2011） 5 4 515.7—1 301.3 日本 Laurendeau et al （2013） 6 14 170.6—1 428.1 法国 Drouet et al （2010） 7 24 192.1—747.1 瑞士 Edwards et al （2015） 8 8 1 174.0—1 810.5 瑞士 Edwards et al （2011） 9 16 380.1—1 811.5 瑞士 Edwards et al （2011） 10 54 160.1—942.8 中国台湾 Huang et al （2017） 11 4 233.1—684.8 中国台湾 Lai et al （2016） 12 10 167.5-496.4 中国台湾 Lai et al （2016） 13 29 191.8—746.9 土耳其 Bora et al （2017） 14 16 142.6—1 029.6 意大利 Bora et al （2017） 15 5 1 054.7—1 392.5 克罗地亚 Stanko et al （2017） 16 4 854.1—953.3 克罗地亚 Stanko et al （2017） 17 11 516.6—715.5 中国台湾 Van Houtte et al （2011） 18 38 299.6—652.9 中国 Fu&Li （2017） 19 10 435.7—1 518.3 新西兰 Van Houtte et al （2018） 20 9 401.0—661.8 亚利桑那 Kishida et al （2014） 21 6 550.9—1 000.3 加利福尼亚 Van Houtte et al （2011） 22 117 170.9—1531.2 中国台湾 Chang et al （2019） 23 7 263.3—660.3 中国 Zheng et al （2019） 24 7 531.2—912.1 日本 Zhu （2016） 
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表 2 κ0值在不同 vS30范围的分组统计
Table 2. Group statistics of κ0 values in different vS30 ranges
vS30范围/（m·s-1） 数量 最小值 最大值 标准差 均值 100—200 37 0.019 6 0.076 7 0.014 85 0.054 48 200—300 65 0.022 2 0.072 6 0.014 58 0.051 33 300—400 95 0.009 2 0.077 2 0.015 38 0.043 41 400—500 95 0.008 8 0.087 5 0.016 06 0.040 43 500—600 73 0.003 8 0.067 4 0.015 16 0.035 60 600—700 46 0.003 8 0.080 9 0.015 17 0.029 28 700—800 24 0.013 0 0.071 1 0.014 11 0.033 48 800—900 19 0.004 9 0.073 9 0.017 84 0.034 12 900—1000 16 0.014 3 0.052 8 0.010 99 0.027 61 1 000—1 100 7 0.015 3 0.027 0 0.003 93 0.022 73 1 100—1 200 7 0.006 0 0.025 8 0.007 52 0.015 47 1 200—1 300 10 0.013 6 0.026 0 0.004 61 0.019 67 1 300—1 400 6 0.010 1 0.031 5 0.009 06 0.020 13 1 400—1 500 9 0.009 6 0.026 3 0.006 15 0.015 72 1 500—1 800 16 0.006 9 0.027 1 0.006 75 0.016 06 1 800—2 100 11 0.002 9 0.029 3 0.009 36 0.013 71 2 100—2 400 10 0.002 9 0.025 0 0.009 30 0.011 93
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表 3 κrms与 vS30的经验关系
Table 3. The empirical relationship between кrms and vS30
拟合函数 （1）线性函数：κrms＝avS30＋b 模型参数 a b SSE R2 −1.557×10−5 4.478×10−2 0.003 601 0.773 4 拟合函数 （2）多项式函数：κrms＝avS302＋b vS30＋c 模型参数 a b c SSE R2 1.284×10−8 −4.741×10−5 0.058 86 0.000 655 9 0.958 7 拟合函数 （3）对数线性函数：κrms ＝algvS30＋b 模型参数 a b SSE R2 −3.439×10−2 1.286×10−1 0.001 466 0.907 8 拟合函数 （4）双对数线性函数：lgκrms＝algvS30＋b 模型参数 a b SSE R2 −4.488×10−1 −2.72×10−1 0.002 245 0.858 7
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傅磊,李小军. 2017. 龙门山地区的kappa(κ0)模型及汶川MS8.0地震的强地震动模拟[J]. 地球物理学报,60(8):2935–2947. doi: 10.6038/cjg20170803 FU L,LI X J. 2017. The kappa (κ0) model of the Longmenshan region and its application to simulation of strong ground-motion by the Wenchuan MS8.0 earthquake[J]. Chinese Journal of Geophysics,60(8):2935–2947 (in Chinese). 朱百慧. 2016. 强震数据Kappa值影响因素的讨论[D]. 中国地震局工程力学研究所, 39–41. Zhu B H. 2016. Discussion on Influencing Factors of Kappa Value of Strong Earthquake Data [D]. Institute of Engineering Mechanics, China Earthquake Administration, 39–41 （in Chinese）. 郑旭,胡进军,谢礼立. 2019. 基于山东省场地的沂沭断裂带地震动高频消减作用[J]. 哈尔滨工业大学学报,51(12):55–62. doi: 10.11918/j.issn.0367-6234.201901170 ZHENG X,HU J J,XIE L L. 2019. High frequency reduction effect of ground motion in Yi-Shu fault zone based on sites of Shandong[J]. Journal of Harbin Institute of Technology,51(12):55–62 (in Chinese). Anderson J G,Hough S E. 1984. A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies[J]. Bulletin of the Seismological Society of America,74(5):1969–1993. Anderson J G,Humphrey J R. 1991. A least squares method for objective determination of earthquake source parameters[J]. Seismological Research Letters,62(3-4):201–209. doi: 10.1785/gssrl.62.3-4.201 Anderson J G,Lee Y,Zeng Y. 1996. Control of strong motion by the upper 30 meters[J]. Bulletin of the Seismological Society of America,86(6):1749–1759. Atkinson G M. 1984. Attenuation of strong ground motion in Canada from a random vibrations approach[J]. Bulletin of the Seismological Society of America,74(6):2629–2653. Boore D M. 1983. Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra[J]. Bulletin of the Seismological Society of America,73(6A):1865–1894. Boore D M,Thompson E M,Cadet H. 2011. Regional correlations of VS and velocities averaged over depths less than and greater than 30 meters[J]. Bulletin of the Seismological Society of America,101(6):3046–3059. doi: 10.1785/0120110071 Bora S S,Cotton F,Scherbaum F. 2017. Stochastic source,path and site attenuation parameters and associated variabilities for shallow crustal European earthquakes[J]. Bulletin of Earthquake Engineering,15(11):4531–4561. doi: 10.1007/s10518-017-0167-x Cabas A,Rodriguez‐Marek A,Bonilla L F. 2017. Estimation of site‐specific kappa (κ0)‐consistent damping values at KiK‐net sites to assess the discrepancy between laboratory‐based damping models and observed attenuation (of seismic waves) in the field[J]. Bulletin of the Seismological Society of America,107(5):2258–2271. doi: 10.1785/0120160370 Castellaro S,Mulargia F,Rossi P L. 2008. VS:Proxy for seismic amplification?[J]. Seismological Research Letters,79(4):540–543. doi: 10.1785/gssrl.79.4.540 Chandler A M,Lam N T K,Tsang H H. 2006. Near-surface attenuation modelling based on rock shear-wave velocity profile[J]. Soil Dynamics and Earthquake Engineering,26(11):1004–1014. doi: 10.1016/j.soildyn.2006.02.010 Chang S C,Wen K L,Huang M W. 2019. The high-frequency decay parameter (Kappa) in Taiwan[J]. Pure and Applied Geophysics,176(11):4861–4879. doi: 10.1007/s00024-019-02219-y Drouet S,Cotton F,Guéguen P. 2010. VS,κ,regional attenuation and Mw from accelerograms:Application to magnitude 3–5 French earthquakes[J]. Geophysical Journal International,182(2):880–898. doi: 10.1111/j.1365-246X.2010.04626.x Edwards B,Fäh D,Giardini D. 2011. Attenuation of seismic shear wave energy in Switzerland[J]. Geophysical Journal International,185(2):967–984. doi: 10.1111/j.1365-246X.2011.04987.x Edwards B,Ktenidou O J,Cotton F. 2015. Epistemic uncertainty and limitations of the κ0 model for near-surface attenuation at hard rock sites[J]. Geophysical Journal International,202(3):1627–1645. doi: 10.1093/gji/ggv222 Hanks T C. 1982. f max[J]. Bulletin of the Seismological Society of America,72(6A):1867–1879. doi: 10.1785/BSSA07206A1867 Huang M W,Wen K L,Chang S C. 2017. The High‐Cut Parameter (Kappa) for the Near‐Surface Geology in and around the Taipei Basin,Taiwan[J]. Bulletin of the Seismological Society of America,107(3):1254–1264. doi: 10.1785/0120160070 Kilb D,Biasi G,Anderson J. 2012. A comparison of spectral parameter kappa from small and moderate earthquakes using southern California ANZA seismic network data[J]. Bulletin of the Seismological Society of America,102(1):284–300. doi: 10.1785/0120100309 Kishida T,Darragh R,KtenidouO J. 2014. Fourier spectra and kappa (κ0) estimates for rock stations in the nga-west2 project[J]. Engineering geology,202(4):1–13. Lai T S,Mittal H,Chao W A. 2016. A study on kappa value in Taiwan using borehole and surface seismic array[J]. Bulletin of the Seismological Society of America,106(4):1509–1517. doi: 10.1785/0120160004 Laurendeau A,Cotton F,Ktenidou O J. 2013. Rock and stiff‐soil site amplification:Dependency on VS and kappa (κ0)[J]. Bulletin of the Seismological Society of America,103(6):3131–3148. doi: 10.1785/0120130020 Lee V W,Trifunac M D. 2010. Should average shear-wave velocity in the top 30 m of soil be used to describe seismic amplification?[J]. Soil Dynamics and Earthquake Engineering,30(11):1250–1258. doi: 10.1016/j.soildyn.2010.05.007 Silva W J,Wong I G,Darragh R B. 1998. Engineering characterization of earthquake strong ground motions in the Pacific Northwest[J]. Assessing Earthquake Hazards and Reducing Risk in the Pacific Northwest,1560:313–324. Stanko D, Markušić S, Ivančić I. 2017. Preliminary estimation of kappa parameter in Croatia[C]//IOP Conference Series: Earth and Environmental Science. IOP Publishing, 95（3）: 032014. Van Houtte C,Drouet S,Cotton F. 2011. Analysis of the origins of κ (kappa) to compute hard rock to rock adjustment factors for GMPEs[J]. Bulletin of the Seismological Society of America,101(6):2926–2941. doi: 10.1785/0120100345 Van Houtte C,Ktenidou O J,Larkin T. 2018. A continuous map of near-surface S-wave attenuation in New Zealand[J]. Geophysical Journal International,213(1):408–425. doi: 10.1093/gji/ggx559 -
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