俯冲带板内地震竖向加速度谱阻尼修正系数模型研究

陈心锋 姜妍旭 刘名吉

陈心锋,姜妍旭,刘名吉. 2022. 俯冲带板内地震竖向加速度谱阻尼修正系数模型研究. 地震学报,44(2):339−355 doi: 10.11939/jass.20200198
引用本文: 陈心锋,姜妍旭,刘名吉. 2022. 俯冲带板内地震竖向加速度谱阻尼修正系数模型研究. 地震学报,44(2):339−355 doi: 10.11939/jass.20200198
Chen X F,Jiang Y X,Liu M J. 2022. A damping modification factor model for vertical acceleration spectrum from slab earthquakes in subduction zone. Acta Seismologica Sinica,44(2):339−355 doi: 10.11939/jass.20200198
Citation: Chen X F,Jiang Y X,Liu M J. 2022. A damping modification factor model for vertical acceleration spectrum from slab earthquakes in subduction zone. Acta Seismologica Sinica44(2):339−355 doi: 10.11939/jass.20200198

俯冲带板内地震竖向加速度谱阻尼修正系数模型研究

doi: 10.11939/jass.20200198
基金项目: 国家自然科学基金(51878396)资助
详细信息
    通讯作者:

    陈心锋,硕士研究生,主要从事岩土地震工程方面的研究,e-mail:chenxf1996@126.com

  • 中图分类号: P315.9

A damping modification factor model for vertical acceleration spectrum from slab earthquakes in subduction zone

  • 摘要: 基于日本K-NET和KiK-net台网的4 695条俯冲带板内地震记录,采用最小二乘法对阻尼修正系数(DMF)的几何均值进行关于阻尼比和谱周期的回归拟合,分场地类别建立了考虑阻尼比和谱周期的竖向加速度谱DMF模型。为探究震源、路径和场地效应对该模型残差分布的影响,采用随机效应模型将残差分离得到各类残差及相应的残差标准差,在此基础上进行DMF模型残差分析。研究结果表明,DMF可以采用阻尼比对数值的三次多项式、周期对数值的四次多项式来模拟。由于规范设计反应谱并非针对某一特定地震,规范提出的DMF模型并不包含震源和路径参数,但事件间和事件内残差关于矩震级、断层距离和断层深度的分布表明,在给定地震事件下,包含地震动参数的DMF模型将会改善模型的预测能力。

     

  • 图  1  地震数据分布图

    (a) 地震记录关于矩震级和断层距离的分布;(b) 地震事件关于矩震级和断层深度的分布

    Figure  1.  The distribution of earthquake dataset (a) The distribution of earthquake records with respect to moment magnitude and source distance;(b) The distribution of earthquakes with respect to moment magnitude and fault depth

    图  2  四类场地阻尼修正系数DMF的几何均值分布情况

    Figure  2.  The geometric mean values of DMF for four site classes

    (a) ζ=1%;(b) ζ=3%;(c) ζ=15% ;(d) ζ=30%

    图  3  四类场地间显著性检验统计值|Z|

    (a) Ⅰ类场地与Ⅱ类场地;(b) Ⅰ类场地与Ⅲ类场地;(c) Ⅰ类场地与Ⅳ类场地;(d) Ⅱ类场地与Ⅲ类场地;(e) Ⅱ类场地与Ⅳ类场地;(f) Ⅲ类场地与Ⅳ类场地

    Figure  3.  |Z| values for the statistical tests between each pair of four site classes

    (a) Site class Ⅰ vs site class Ⅱ;(b) Site class Ⅰ vs site class Ⅲ;(c) Site class Ⅰ vs site class Ⅳ; (d) Site class Ⅱ vs site class Ⅲ;(e) Site class Ⅱ vs site class Ⅳ;(f) Site class Ⅲ vs site class Ⅳ

    图  4  四类场地不同阻尼比的阻尼修正系数DMF模型拟合曲线与数据几何均值的对比

    (a) Ⅰ类场地;(b) Ⅱ类场地;(c) Ⅲ类场地;(d) Ⅳ类场地

    Figure  4.  DMF model comparisons with the geometrical mean of the vertical components for eight damping ratios of four site classes

    (a) Site class Ⅰ;(b) Site class Ⅱ;(c) Site class Ⅲ;(d) Site class Ⅳ

    图  5  阻尼修正系数DMF模型的残差标准差关于谱周期的分布图

    Figure  5.  The distribution of standard deviations of DMF models

    (a) ζ=1%;(b) ζ=3%;(c) ζ=10%;(d) ζ=30%

    图  6  阻尼比为25%时四类场地的场地内标准差(a)和场地间标准差(b)分布图

    Figure  6.  Distribution of within-site (a) and between-site (b) standard deviation for four site classes for a damping ratio of 25%

    图  7  T=2.5 s时阻尼修正系数DMF模型标准差关于对数坐标系下阻尼比的变化图

    (a) Ⅰ类场地;(b) Ⅱ类场地;(c) Ⅲ类场地;(d) Ⅳ类场地

    Figure  7.  Variations of standard deviation of DMF model with damping ratio at logarithmic scale by T=2.5 s

    (a) Site class Ⅰ;(b) Site class Ⅱ;(c) Site class Ⅲ;(d) Site class Ⅳ

    图  8  阻尼比为25%时阻尼修正系数DMF模型事件间残差分布图

    (a) T=0.1 s时残差关于断层深度的分布图;(b) T=0.1 s时残差关于矩震级的分布图;(c) T=3.0 s时残差关于断层深度的分布图;(d) T=3.0 s时残差关于矩震级的分布图

    Figure  8.  The distributions of between-event residuals of DMF model for a damping ratio of 25%

    (a) The distribution of residuals with respect to fault depth at T=0.1 s;(b) The distribution of residuals with respect to moment magnitude at T=0.1 s;(c) The distribution of residuals with respect to fault depth at T=3.0 s;(d) The distribution of residuals with respect to moment magnitude at T=3.0 s

    图  9  阻尼比为25%时DMF模型事件内残差分布图

    (a) T=0.1 s时残差关于断层距离的分布图;(b) T=0.1 s时残差关于矩震级的分布图;(c) T=3.0 s时残差关于断层距离的分布图;(d) T=3.0 s时残差关于矩震级的分布图

    Figure  9.  The distributions of within-event residuals of DMF model for a damping ratio of 25%

    (a) The distribution of residuals with respect to fault distance at T=0.1 s;(b) The distribution of residuals with respect to moment magnitude at T=0.1 s;(c) The distribution of residuals with respect to fault distance at T=3.0 s;(d) The distribution of residuals with respect to moment magnitude at T=3.0 s

    表  1  场地类别定义和各类场地记录数量

    Table  1.   Site class definition and number of the records in each site class

    场地类别土质类型场地周期/s记录条数
    岩石Ts<0.22 022
    硬土0.2≤Ts<0.41 353
    中硬土0.4≤Ts<0.6442
    软土Ts≥0.6878
    下载: 导出CSV

    表  2  四类场地下阻尼修正系数模型的系数值

    Table  2.   Coefficients of DMF model for four site classes

    T/sⅠ类场地Ⅱ类场地Ⅲ类场地Ⅳ类场地
    $ {c}_{1} $$ {c}_{2} $$ {c}_{3} $$ {c}_{1} $$ {c}_{2} $$ {c}_{3} $$ {c}_{1} $$ {c}_{2} $$ {c}_{3} $$ {c}_{1} $$ {c}_{2} $$ {c}_{3} $
    0.03 −0.020 0 −0.011 3 −0.015 0 −0.020 0 −0.005 4 −0.008 0 −0.008 3 −0.004 8 −0.008 0 −0.007 1 −0.004 7 −0.010 0
    0.04 −0.234 3 0.012 9 0.001 0 −0.152 1 0.016 7 −0.005 0 −0.138 9 0.018 3 −0.004 0 −0.120 8 0.013 3 −0.004 0
    0.05 −0.294 9 0.005 7 0.000 1 −0.235 9 0.012 9 0.001 4 −0.213 8 0.012 3 −0.001 1 −0.220 4 0.013 0 0.002 4
    0.06 −0.322 8 0.001 8 0.002 6 −0.283 5 0.006 7 0.003 1 −0.262 1 0.009 1 0.001 9 −0.273 8 0.008 2 0.005 0
    0.07 −0.340 8 −0.001 1 0.004 4 −0.314 7 0.002 1 0.004 4 −0.294 4 0.006 1 0.003 8 −0.308 7 0.004 7 0.006 6
    0.08 −0.352 8 −0.003 2 0.005 9 −0.335 7 −0.001 4 0.005 4 −0.317 1 0.003 4 0.005 1 −0.332 4 0.002 0 0.007 7
    0.09 −0.361 1 −0.004 9 0.007 1 −0.350 3 −0.004 0 0.006 2 −0.333 4 0.001 0 0.006 1 −0.349 1 −0.000 1 0.008 5
    0.10 −0.366 8 −0.006 3 0.008 1 −0.360 5 −0.006 1 0.007 0 −0.345 4 −0.001 0 0.006 8 −0.361 1 −0.001 8 0.009 1
    0.12 −0.373 5 −0.008 2 0.009 7 −0.372 8 −0.008 9 0.008 2 −0.361 2 −0.004 4 0.007 9 −0.376 3 −0.004 3 0.009 9
    0.14 −0.376 5 −0.009 4 0.011 0 −0.378 8 −0.010 6 0.009 3 −0.370 3 −0.007 0 0.008 7 −0.384 6 −0.006 1 0.010 5
    0.15 −0.377 1 −0.009 8 0.011 5 −0.380 3 −0.011 2 0.009 9 −0.373 4 −0.008 1 0.009 0 −0.387 3 −0.006 7 0.010 8
    0.16 −0.377 4 −0.010 1 0.012 1 −0.381 2 −0.011 6 0.010 4 −0.375 7 −0.009 0 0.009 3 −0.389 3 −0.007 3 0.011 0
    0.18 −0.377 1 −0.010 5 0.013 0 −0.381 6 −0.012 0 0.011 3 −0.378 8 −0.010 5 0.009 9 −0.391 8 −0.008 2 0.011 4
    0.20 −0.376 2 −0.010 7 0.013 9 −0.380 8 −0.012 1 0.012 2 −0.380 4 −0.011 6 0.010 5 −0.393 1 −0.008 8 0.011 8
    0.25 −0.372 3 −0.010 4 0.015 7 −0.376 3 −0.011 3 0.014 2 −0.381 1 −0.013 1 0.011 8 −0.393 4 −0.009 6 0.012 9
    0.30 −0.367 6 −0.009 5 0.017 2 −0.370 3 −0.009 7 0.016 0 −0.379 3 −0.013 5 0.013 1 −0.392 2 −0.009 7 0.013 9
    0.35 −0.362 7 −0.008 3 0.018 6 −0.364 2 −0.007 7 0.017 6 −0.376 6 −0.013 1 0.014 4 −0.390 6 −0.009 5 0.014 9
    0.40 −0.357 9 −0.006 9 0.019 8 −0.358 2 −0.005 5 0.019 2 −0.373 5 −0.012 2 0.015 6 −0.388 9 −0.008 9 0.016 0
    0.45 −0.353 2 −0.005 4 0.020 8 −0.352 5 −0.003 1 0.020 5 −0.370 1 −0.011 0 0.016 8 −0.387 3 −0.008 2 0.017 0
    0.50 −0.348 6 −0.003 8 0.021 8 −0.347 1 −0.000 8 0.021 8 −0.366 7 −0.009 5 0.018 0 −0.385 7 −0.007 3 0.018 0
    0.60 −0.339 8 −0.000 5 0.023 6 −0.337 0 0.003 9 0.024 1 −0.359 9 −0.006 2 0.020 2 −0.382 5 −0.005 4 0.020 0
    0.70 −0.331 3 0.002 9 0.025 0 −0.327 7 0.008 4 0.026 0 −0.353 1 −0.002 6 0.022 2 −0.379 3 −0.003 1 0.021 8
    0.80 −0.323 0 0.006 2 0.026 3 −0.319 0 0.012 8 0.027 7 −0.346 2 0.001 1 0.024 1 −0.375 9 −0.000 8 0.023 5
    0.90 −0.314 9 0.009 4 0.027 5 −0.310 6 0.016 9 0.029 2 −0.339 2 0.004 8 0.025 8 −0.372 2 0.001 6 0.025 1
    1.00 −0.306 8 0.012 6 0.028 5 −0.302 4 0.020 9 0.030 5 −0.332 2 0.008 5 0.027 3 −0.368 1 0.004 1 0.026 6
    1.25 −0.286 8 0.020 2 0.030 6 −0.282 5 0.030 0 0.033 1 −0.314 2 0.017 4 0.030 5 −0.356 2 0.010 4 0.029 8
    1.50 −0.266 7 0.027 4 0.032 1 −0.262 7 0.038 1 0.034 9 −0.295 4 0.025 6 0.033 1 −0.342 1 0.016 7 0.032 4
    2.00 −0.226 4 0.040 4 0.034 2 −0.222 5 0.052 1 0.037 2 −0.256 0 0.040 4 0.036 5 −0.307 9 0.029 0 0.036 2
    2.50 −0.185 6 0.052 2 0.035 3 −0.181 3 0.063 7 0.038 1 −0.214 6 0.053 0 0.038 4 −0.267 9 0.040 9 0.038 7
    3.00 −0.144 7 0.062 9 0.035 8 −0.139 1 0.073 8 0.038 1 −0.171 9 0.064 0 0.039 1 −0.223 6 0.052 3 0.040 3
    3.50 −0.103 8 0.072 8 0.035 9 −0.096 2 0.082 6 0.037 6 −0.128 3 0.073 7 0.039 1 −0.176 3 0.063 2 0.041 1
    4.00 −0.063 1 0.082 0 0.035 6 −0.052 9 0.090 4 0.036 6 −0.084 1 0.082 2 0.038 4 −0.126 9 0.073 8 0.041 3
    4.50 −0.022 6 0.090 6 0.035 1 −0.009 2 0.097 4 0.035 2 −0.039 6 0.089 8 0.037 3 −0.075 9 0.084 0 0.041 1
    5.00 0.017 7 0.098 7 0.034 4 0.034 6 0.103 8 0.033 6 0.005 0 0.096 7 0.035 8 −0.023 8 0.093 9 0.040 6
    下载: 导出CSV

    表  3  阻尼修正系数模型的总残差标准差${\sigma _T} $

    Table  3.   Total standard deviations ${\sigma _T} $ of DMF model

    T/sσT
    ζ=1%ζ=2%ζ=3%ζ=4%ζ=6%ζ=7%ζ=8%ζ=9%ζ=10%ζ=15%ζ=20%ζ=25%ζ=30%
    0.030.056 00.014 70.011 60.005 70.000 00.005 40.010 40.015 20.019 80.024 30.046 00.066 50.086 4
    0.040.242 60.146 30.084 40.039 90.030 80.055 70.079 90.094 80.110 70.167 60.204 10.229 50.248 6
    0.050.238 60.148 70.087 90.042 50.033 00.060 10.082 90.102 70.120 20.184 10.225 50.255 40.277 7
    0.060.225 00.144 40.092 90.042 70.035 80.061 40.090 20.105 60.123 70.190 90.235 10.267 00.290 8
    0.070.215 50.139 60.090 00.041 50.034 60.059 80.088 00.103 00.120 70.187 60.232 00.263 60.287 1
    0.080.206 30.141 40.085 50.039 80.033 20.057 50.084 00.099 00.115 90.178 70.220 10.250 30.273 1
    0.090.200 40.136 40.082 70.038 50.030 80.056 20.082 30.096 20.112 70.174 60.215 70.245 10.266 9
    0.100.192 70.132 40.080 70.037 30.029 50.053 70.078 70.097 70.107 80.165 90.205 10.233 30.254 2
    0.120.188 50.122 90.077 80.034 50.030 50.055 60.076 60.094 80.105 70.160 90.197 30.223 80.243 6
    0.140.189 90.123 00.077 20.035 70.029 70.053 70.073 40.090 30.104 60.157 00.184 40.208 30.227 0
    0.150.188 80.122 10.076 80.033 10.029 40.053 40.069 30.090 80.105 90.159 40.194 30.208 60.227 8
    0.160.190 80.122 60.077 60.033 90.030 10.054 40.074 80.092 20.107 10.161 30.196 20.210 30.230 1
    0.180.191 80.123 90.074 00.035 20.029 00.052 60.072 00.088 50.102 90.155 70.190 80.207 50.228 1
    0.200.191 20.123 50.076 80.035 70.029 70.053 90.070 90.090 90.105 60.159 20.194 60.212 30.233 3
    0.250.191 70.124 30.077 00.035 50.029 50.053 30.069 80.085 90.104 50.150 00.184 40.211 70.235 5
    0.300.195 60.125 80.075 40.035 90.029 80.053 50.073 10.089 70.104 20.152 30.189 10.219 40.246 6
    0.350.191 20.129 80.077 50.034 00.029 50.053 40.070 00.090 90.106 40.163 80.195 20.227 40.256 7
    0.400.195 00.131 80.078 40.033 90.030 10.051 60.070 90.093 20.108 90.159 60.201 90.238 10.270 9
    0.450.198 70.128 20.077 90.035 80.029 80.054 40.072 80.089 90.108 60.163 80.208 50.247 50.283 4
    0.500.200 20.127 60.079 80.036 70.030 70.056 00.077 10.095 40.111 50.168 60.216 10.257 70.296 3
    0.600.199 60.128 40.077 50.037 70.030 10.054 90.076 10.097 80.111 40.177 90.231 70.278 70.321 8
    0.700.204 60.131 80.083 30.036 70.032 30.056 40.081 90.097 90.115 50.187 30.246 80.299 60.347 5
    0.800.208 80.133 90.084 60.037 00.033 20.058 00.084 90.100 90.119 30.196 40.260 30.316 30.367 4
    0.900.207 70.132 60.085 00.036 90.033 40.057 80.086 00.102 10.121 30.202 30.270 00.329 00.382 3
    1.000.211 50.134 70.086 10.039 80.031 80.058 90.083 20.104 90.125 00.210 30.281 60.343 50.398 6
    1.250.212 40.139 30.084 30.041 00.033 80.063 00.088 80.112 60.134 90.230 70.309 60.377 60.436 5
    1.500.216 50.143 50.087 80.041 00.036 10.067 90.096 30.122 60.147 10.252 20.340 20.413 00.475 9
    2.000.226 10.153 80.095 20.045 10.040 40.076 70.109 00.139 10.167 80.290 50.389 20.470 30.536 1
    2.500.231 10.160 70.100 60.048 00.043 90.083 50.119 70.153 30.185 10.321 30.426 20.510 20.576 5
    3.000.237 00.166 70.105 60.050 80.046 70.089 10.128 20.164 50.198 30.341 70.450 80.533 90.598 3
    3.500.245 70.175 60.112 10.054 30.050 20.096 00.137 50.176 20.212 80.363 00.473 30.556 30.619 1
    4.000.248 40.179 30.115 30.055 50.051 50.098 90.142 60.183 20.220 50.372 70.481 90.561 40.621 2
    4.500.258 30.187 30.120 40.058 40.054 00.103 50.149 10.191 10.229 90.385 10.495 00.573 20.630 5
    5.000.264 90.194 20.126 40.061 30.056 70.108 00.154 90.197 50.237 10.391 70.498 40.573 20.627 1
    下载: 导出CSV

    表  4  阻尼修正系数模型的事件内残差标准差σ

    Table  4.   Within-event standard deviation σ of DMF model

    T/sσ
    ζ=1%ζ=2%ζ=3%ζ=4%ζ=6%ζ=7%ζ=8%ζ=9%ζ=10%ζ=15%ζ=20%ζ=25%ζ=30%
    0.030.017 80.013 80.009 70.005 10.000 00.004 90.009 40.013 70.017 60.021 30.037 90.051 10.061 9
    0.040.221 00.134 70.078 60.035 30.028 80.051 80.071 20.088 00.102 60.154 90.188 30.211 50.228 8
    0.050.222 30.140 00.083 10.037 90.031 00.056 30.077 60.096 10.112 20.171 20.209 10.236 10.256 0
    0.060.213 50.137 80.083 20.038 40.032 30.058 50.080 80.100 10.117 00.178 80.218 80.247 10.268 1
    0.070.206 40.134 00.081 10.037 40.031 20.057 00.078 60.097 30.113 70.174 80.214 50.242 40.263 1
    0.080.199 10.129 50.078 40.036 40.030 40.055 00.075 80.093 80.109 30.165 90.202 60.229 20.249 4
    0.090.195 30.126 80.076 60.035 50.029 90.054 40.074 80.092 40.107 60.163 70.200 80.227 10.246 8
    0.100.186 10.121 20.073 60.034 10.028 50.051 80.071 40.088 40.103 10.157 00.193 10.218 90.238 2
    0.120.183 30.119 80.072 40.033 50.028 20.051 30.070 70.087 40.101 80.154 20.188 50.213 60.232 3
    0.140.182 70.119 00.071 60.033 20.027 60.050 00.068 70.084 60.098 20.147 60.179 50.202 20.219 6
    0.150.181 40.117 50.070 30.032 20.027 00.049 10.067 50.083 20.097 00.146 60.178 90.202 10.220 1
    0.160.184 50.118 70.071 90.033 20.027 60.050 00.068 80.084 80.098 50.148 40.180 60.204 10.222 8
    0.180.185 30.120 00.072 30.033 10.027 30.049 40.067 50.082 70.096 10.144 70.177 10.201 10.220 6
    0.200.184 50.119 50.071 50.033 20.027 8−0.050 50.069 20.085 10.098 80.148 50.181 40.206 00.225 5
    0.250.184 00.118 80.071 40.032 90.027 30.049 30.067 80.083 40.096 90.144 50.176 50.201 10.221 7
    0.300.188 10.120 80.072 90.033 50.027 9−0.050 20.068 80.084 70.098 30.147 60.181 70.208 70.231 9
    0.350.185 60.119 70.072 10.033 30.027 70.050 10.068 70.085 00.099 20.151 90.188 50.217 70.242 9
    0.400.188 70.120 70.072 30.033 20.027 9−0.050 60.069 50.085 80.100 10.154 80.194 00.226 40.254 2
    0.450.192 20.123 60.073 60.033 70.028 30.051 40.070 80.087 30.101 80.156 90.197 70.231 80.261 7
    0.500.193 40.123 40.074 50.034 30.028 60.052 20.071 90.088 80.103 60.160 30.202 00.237 10.268 4
    0.600.191 40.122 70.074 20.034 30.029 00.052 80.072 90.090 40.105 90.165 70.211 60.250 00.283 3
    0.700.195 40.125 90.075 50.035 10.029 50.053 80.074 50.092 40.108 50.171 50.220 60.262 20.297 4
    0.800.199 80.128 10.076 80.035 50.030 10.054 70.075 60.093 80.110 20.176 30.228 30.271 80.308 7
    0.900.198 20.127 10.076 40.035 40.029 90.054 90.076 50.095 70.113 00.182 00.236 10.280 80.318 7
    1.000.199 60.127 00.075 80.035 00.029 70.054 80.076 80.096 20.113 90.185 80.242 10.287 90.326 1
    1.250.201 30.130 10.078 40.036 50.031 30.058 00.081 20.102 10.121 50.199 90.259 80.307 20.346 0
    1.500.201 90.131 70.080 00.037 20.032 40.060 10.084 60.106 50.126 40.208 10.271 40.321 30.361 7
    2.000.196 50.130 10.080 40.038 10.033 70.063 10.088 90.112 20.133 50.219 60.284 90.336 00.376 7
    2.500.195 70.132 50.082 40.039 20.035 00.065 40.092 50.117 20.139 90.232 20.299 50.351 30.390 6
    3.000.190 20.130 30.082 10.039 50.035 40.066 60.094 40.119 60.142 40.234 60.302 10.352 00.390 3
    3.500.194 90.135 90.086 00.041 20.036 90.069 50.098 40.124 70.148 30.243 00.309 70.358 20.395 1
    4.000.187 00.132 20.084 80.040 80.037 00.069 80.099 20.125 70.149 50.242 60.307 10.353 00.387 1
    4.500.185 70.132 60.085 00.041 10.037 00.069 50.098 50.124 50.147 90.239 30.301 50.345 30.378 0
    5.000.189 10.135 90.087 40.042 10.037 90.070 50.099 40.125 20.148 30.237 20.296 40.337 80.368 3
    下载: 导出CSV

    表  5  阻尼修正系数模型的事件间残差标准差τ

    Table  5.   Between-event standard deviation τ of DMF model

    T/sτ
    ζ=1%ζ=2%ζ=3%ζ=4%ζ=6%ζ=7%ζ=8%ζ=9%ζ=10%ζ=15%ζ=20%ζ=25%ζ=30%
    0.030.053 10.004 90.006 30.002 50.000 00.002 20.004 40.006 70.009 10.011 70.026 10.042 60.060 3
    0.040.100 10.056 90.030 90.018 60.011 00.020 50.036 20.035 30.041 50.064 00.078 60.089 10.097 1
    0.050.086 70.050 10.028 40.019 40.011 30.020 90.029 10.036 40.043 00.067 70.084 40.097 40.107 6
    0.060.071 00.043 30.041 40.018 60.015 40.018 60.040 00.033 50.040 10.066 90.086 20.101 20.112 7
    0.070.062 10.039 30.039 00.017 80.014 80.018 00.039 70.033 90.040 60.068 00.088 30.103 50.114 9
    0.080.053 80.056 80.034 00.016 00.013 30.016 70.036 10.031 70.038 30.066 30.086 00.100 50.111 4
    0.090.044 70.050 50.031 20.014 90.007 40.014 30.034 30.027 00.033 70.060 60.078 90.092 20.101 7
    0.100.050 10.053 40.033 10.015 10.007 50.014 10.033 20.041 70.031 60.053 60.069 10.080 80.088 8
    0.120.044 00.027 60.028 50.008 10.011 60.021 30.029 40.036 70.028 20.046 10.058 30.066 90.073 3
    0.140.051 80.031 10.028 70.013 00.010 90.019 50.025 90.031 50.035 80.053 50.042 10.050 20.057 5
    0.150.052 30.033 30.031 00.007 90.011 70.021 10.015 70.036 40.042 60.062 50.075 90.051 70.058 7
    0.160.048 60.030 50.029 10.006 80.012 00.021 40.029 40.036 30.042 10.063 20.076 70.050 60.057 5
    0.180.049 50.030 70.028 50.011 90.010 00.018 20.025 30.031 50.036 80.057 40.071 00.051 00.057 7
    0.200.050 00.031 00.027 90.013 00.010 40.019 00.015 30.032 00.037 20.057 20.070 40.051 60.059 5
    0.250.053 60.036 40.028 70.013 50.011 20.020 10.016 70.020 70.039 00.040 40.053 60.066 10.079 4
    0.300.053 80.035 30.028 60.013 00.010 40.018 40.024 50.029 50.034 40.037 60.052 40.067 60.084 0
    0.350.045 90.050 10.028 50.006 80.010 10.018 30.013 40.032 40.038 40.061 40.050 70.065 60.083 0
    0.400.049 30.053 10.030 30.007 20.011 30.010 00.014 10.036 30.042 80.038 60.055 70.073 70.093 7
    0.450.050 50.034 20.025 40.012 20.009 40.017 80.017 00.021 60.037 80.047 10.066 30.086 90.108 7
    0.500.051 60.032 50.028 50.013 20.011 00.020 10.027 70.034 70.041 10.052 30.076 90.101 00.125 5
    0.600.056 40.037 70.031 90.015 40.008 00.015 20.021 70.037 20.034 70.064 80.094 30.123 30.152 8
    0.700.060 50.039 10.035 20.010 80.013 20.016 80.034 00.032 20.039 60.075 30.110 60.144 90.179 7
    0.800.060 80.038 90.035 50.010 70.014 10.019 20.038 60.037 00.045 70.086 30.125 10.161 90.199 3
    0.900.062 20.037 90.037 30.010 30.014 80.018 20.039 30.035 40.044 10.088 40.131 00.171 50.211 1
    1.000.069 70.044 80.040 70.019 00.011 30.021 60.031 90.041 80.051 70.098 60.143 80.187 30.229 1
    1.250.067 60.049 90.038 50.018 60.012 80.024 50.036 00.047 50.058 70.115 00.168 30.219 50.266 2
    1.500.078 10.057 10.044 70.017 10.016 00.031 50.046 00.060 70.075 30.142 60.205 20.259 50.309 3
    2.000.111 80.082 00.050 90.024 20.022 30.043 50.063 10.082 20.101 60.190 20.265 20.329 10.381 4
    2.500.123 00.091 00.057 70.027 80.026 50.051 90.076 00.098 90.121 20.222 10.303 30.370 00.423 9
    3.000.141 40.103 90.066 40.032 00.030 40.059 10.086 80.112 90.138 00.248 50.334 60.401 40.453 5
    3.500.149 60.111 20.071 80.035 30.034 10.066 20.096 00.124 50.152 60.269 60.357 90.425 60.476 6
    4.000.163 60.121 10.078 20.037 70.035 90.070 10.102 40.133 30.162 00.282 90.371 40.436 50.485 8
    4.500.179 50.132 30.085 30.041 40.039 30.076 70.111 90.145 00.176 00.301 70.392 60.457 50.504 5
    5.000.185 60.138 70.091 30.044 60.042 20.081 90.118 80.152 80.185 00.311 70.400 70.463 10.507 5
    下载: 导出CSV
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  • 收稿日期:  2020-12-03
  • 修回日期:  2021-05-26
  • 网络出版日期:  2022-04-24
  • 刊出日期:  2022-04-24

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