Chen Kun Yu Yanxiang Gao Mengtan Feng Jingcom sh a. 2012: Study on bias correction of ShakeMaps based on limited acceleration records. Acta Seismologica Sinica, 34(5): 633-645.
Citation: Chen Kun Yu Yanxiang Gao Mengtan Feng Jingcom sh a. 2012: Study on bias correction of ShakeMaps based on limited acceleration records. Acta Seismologica Sinica, 34(5): 633-645.

Study on bias correction of ShakeMaps based on limited acceleration records

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  • Published Date: August 29, 2012
  • We investigated bias correction method of ShakeMaps based on limited acceleration records for the 10 April 2011 Luhuo, Sichuan, earthquake (MS5.3) and the 11 August 2011 Jiashi, Xinjiang, earthquake (MS5.8). By analyzing residuals between the observed data and calculated values, we proposed a method of logarithmic deviation correction for theoretical estimates in regions lacking seismic observations. We also compared both logarithmic residuals and vibration distribution between circle attenuation model and ellipse attenuation model. Research and analysis show that rules of plusmn;3 times standard deviation of local ground motion attenuation relations can remove some abnormal station data, such as the abnormal data from Luhuo Diban station for Luhuo earthquake due to near-field high-frequency acceleration pulses. During rapid report of ground motion intensity, the method of logarithmic deviation correction is suitable for systematic error correction of theoretical estimates of ground motion parameters. Circle attenuation model can only control the degree of vibration, but can not control its distribution. The information of focal mechanism, rupture process, local geological structure and distribution of aftershocks of an earthquake can help modify the distribution of ShakeMaps.
  • 陈鲲, 俞言祥, 高孟潭. 2010. 考虑场地效应的ShakeMap系统研究[J]. 中国地震, 26(1): 92——102.

    陈鲲, 俞言祥, 高孟潭, 吕红山. 2011. 基于震源破裂过程的青海玉树地震震动图研究[J]. 中国地震, 27(1): 56——64.

    国家强震动台网中心. 2011a. 四川省数字强震动台网获取炉霍县M5.3地震记录[DB/OL]. [2011——04——30]. http:∥www.csmnc.net/selnewxjx1.asp?id=768.

    国家强震动台网中心. 2011b. 新疆数字强震动台网获取克孜勒尔自治州阿图什市、伽师县交界M5.8级地震记录[DB/OL]. [2011——08——25]. http:∥www.csmnc.net/selnewxjx1.asp?id=770.

    汪素云, 俞言祥, 高阿甲, 阎秀杰. 2000. 中国分区地震动衰减关系的确定[J]. 中国地震, 16(2): 99——106.

    王玉石, 周正华, 兰日清. 2010. 利用修正谱烈度确定我国西部地区仪器烈度的建议方法[J]. 应用基础与工程科学学报, 18: 119——129.

    Abrahamson N A, Youngs R R. 1992. A stable algorithm for regression analysis using the random effects model[J]. Bull Seism Soc Amer, 82(1): 505——510.

    Allen T I, Wald D J. 2006. Topographic Slope as a Proxy for Seismic Site——Conditions (VS30) and Amplification Around the Globe[R]. U S Geological Survey Open——File Report 2007——1357: 1——69.

    Allen T I, Wald D J. 2009. On the use of high——resolution topographic data as a proxy for seismic site conditions (VS30)[J]. Bull Seism Soc Amer, 99(2A): 935——943.

    Anderson J G, Brune J N. 1999. Probabilistic seismic hazard analysis without the ergodic assumption[J]. Seismol Res Lett, 70(1): 19——28.

    Atkinson G M, Kaka S I. 2007. Relationships between felt intensity and instrumental ground motion in the central United States and California[J]. Bull Seism Soc Amer, 97(2): 497——510.

    Boore D M. 2001. Effect of baseline corrections on displacements and response spectra for several recordings of the 1999 Chi——Chi, Taiwan, earthquake[J]. Bull Seism Soc Amer, 91(5): 1199——1211.

    Borcherdt R D.1994. Estimates of site——dependent response spectra for design (methodology and justification)[J]. Earthquake Spectra, 10(4): 617——654. 

    Brillinger D R, Preisler H K. 1985. Further analysis of the Joyner——Boore attenuation data[J]. Bull Seism Soc Amer, 75(2): 611——614.

    Ebel J, Wald D J. 2003. Bayesian estimations of peak ground acceleration and 5% damped spectral acceleration from Modified Mercalli Intensity data[J]. Earthquake Spectra, 19(3): 511——529.

    Joyner W B, Boore D M. 1981. Peak horizontal acceleration and velocity from strong motion records including records from the 1979 Imperial Valley, California earthquake[J]. Bull Seism Soc Amer, 71(6): 2011——2038.

    Moratto L, Costa G, Suhadolc P. 2009. Real——time generation of ShakeMaps in the southeastern Alps[J]. Bull Seism Soc Amer, 99(4): 2489——2501.

    Rhoades D A, McVerry G H. 2001. Joint hazard of earthquake shaking at two or more locations[J]. Earthquake Spectra, 17(4): 697——710.

    Teng T L, Wu L D, Shin T C, Tsai Y B, Lee W H K. 1997.One minute after: Strongmotion map, effective epicenter, and effective magnitude[J]. Bull Seism Soc Amer, 87(5): 1209——1219.

    Toro G W, Abrahamson N A, Schneider J F.1997. Model of strong ground motions from earthquakes in central and eastern North America: Best estimates and uncertainties[J]. Seism Res Lett, 68(1): 41——57.

    Wald D J, Worden B C, Quitoriano V, Pankow K L. 2006. ShakeMap Manual: Technical Manual, User’s Guide, and Software Guide[M/OL]. U S Geological Survey. 1——156[2012——02——04]. http:∥pubs.usgs.gov/tm/2005/12A01/.

    Wessel P, Smith W H. 1999. The Generic Mapping Tools Technical Reference and Cookbook[M/OL]. Version 3.3.1, 1——132[2012——01——08]. http:∥gmt.soest.hawaii.edu/gmt/html/.

    Worden C B, Wald D J, Allen T I, Lin K, Garcia D, Cua G. 2010. A revised ground——motion and intensity interpolation scheme for ShakeMap[J]. Bull Seism Soc Amer, 100(6): 3083——3096.

    Wu Y M, Shin T C, Chang C H. 2001. Near real——time mapping of peak ground acceleration and peak velocity following a strong earthquake[J]. Bull Seism Soc Amer, 91(5): 1218——1228.

    Wu Y M, Teng T L, Shin T C, Hsiao N C. 2003. Relationship between peak ground acceleration, peak ground velocity, and intensity in Taiwan[J]. Bull Seism Soc Amer, 93(1): 386——396.

    陈鲲, 俞言祥, 高孟潭. 2010. 考虑场地效应的ShakeMap系统研究[J]. 中国地震, 26(1): 92——102.

    陈鲲, 俞言祥, 高孟潭, 吕红山. 2011. 基于震源破裂过程的青海玉树地震震动图研究[J]. 中国地震, 27(1): 56——64.

    国家强震动台网中心. 2011a. 四川省数字强震动台网获取炉霍县M5.3地震记录[DB/OL]. [2011——04——30]. http:∥www.csmnc.net/selnewxjx1.asp?id=768.

    国家强震动台网中心. 2011b. 新疆数字强震动台网获取克孜勒尔自治州阿图什市、伽师县交界M5.8级地震记录[DB/OL]. [2011——08——25]. http:∥www.csmnc.net/selnewxjx1.asp?id=770.

    汪素云, 俞言祥, 高阿甲, 阎秀杰. 2000. 中国分区地震动衰减关系的确定[J]. 中国地震, 16(2): 99——106.

    王玉石, 周正华, 兰日清. 2010. 利用修正谱烈度确定我国西部地区仪器烈度的建议方法[J]. 应用基础与工程科学学报, 18: 119——129.

    Abrahamson N A, Youngs R R. 1992. A stable algorithm for regression analysis using the random effects model[J]. Bull Seism Soc Amer, 82(1): 505——510.

    Allen T I, Wald D J. 2006. Topographic Slope as a Proxy for Seismic Site——Conditions (VS30) and Amplification Around the Globe[R]. U S Geological Survey Open——File Report 2007——1357: 1——69.

    Allen T I, Wald D J. 2009. On the use of high——resolution topographic data as a proxy for seismic site conditions (VS30)[J]. Bull Seism Soc Amer, 99(2A): 935——943.

    Anderson J G, Brune J N. 1999. Probabilistic seismic hazard analysis without the ergodic assumption[J]. Seismol Res Lett, 70(1): 19——28.

    Atkinson G M, Kaka S I. 2007. Relationships between felt intensity and instrumental ground motion in the central United States and California[J]. Bull Seism Soc Amer, 97(2): 497——510.

    Boore D M. 2001. Effect of baseline corrections on displacements and response spectra for several recordings of the 1999 Chi——Chi, Taiwan, earthquake[J]. Bull Seism Soc Amer, 91(5): 1199——1211.

    Borcherdt R D.1994. Estimates of site——dependent response spectra for design (methodology and justification)[J]. Earthquake Spectra, 10(4): 617——654. 

    Brillinger D R, Preisler H K. 1985. Further analysis of the Joyner——Boore attenuation data[J]. Bull Seism Soc Amer, 75(2): 611——614.

    Ebel J, Wald D J. 2003. Bayesian estimations of peak ground acceleration and 5% damped spectral acceleration from Modified Mercalli Intensity data[J]. Earthquake Spectra, 19(3): 511——529.

    Joyner W B, Boore D M. 1981. Peak horizontal acceleration and velocity from strong motion records including records from the 1979 Imperial Valley, California earthquake[J]. Bull Seism Soc Amer, 71(6): 2011——2038.

    Moratto L, Costa G, Suhadolc P. 2009. Real——time generation of ShakeMaps in the southeastern Alps[J]. Bull Seism Soc Amer, 99(4): 2489——2501.

    Rhoades D A, McVerry G H. 2001. Joint hazard of earthquake shaking at two or more locations[J]. Earthquake Spectra, 17(4): 697——710.

    Teng T L, Wu L D, Shin T C, Tsai Y B, Lee W H K. 1997.One minute after: Strongmotion map, effective epicenter, and effective magnitude[J]. Bull Seism Soc Amer, 87(5): 1209——1219.

    Toro G W, Abrahamson N A, Schneider J F.1997. Model of strong ground motions from earthquakes in central and eastern North America: Best estimates and uncertainties[J]. Seism Res Lett, 68(1): 41——57.

    Wald D J, Worden B C, Quitoriano V, Pankow K L. 2006. ShakeMap Manual: Technical Manual, User’s Guide, and Software Guide[M/OL]. U S Geological Survey. 1——156[2012——02——04]. http:∥pubs.usgs.gov/tm/2005/12A01/.

    Wessel P, Smith W H. 1999. The Generic Mapping Tools Technical Reference and Cookbook[M/OL]. Version 3.3.1, 1——132[2012——01——08]. http:∥gmt.soest.hawaii.edu/gmt/html/.

    Worden C B, Wald D J, Allen T I, Lin K, Garcia D, Cua G. 2010. A revised ground——motion and intensity interpolation scheme for ShakeMap[J]. Bull Seism Soc Amer, 100(6): 3083——3096.

    Wu Y M, Shin T C, Chang C H. 2001. Near real——time mapping of peak ground acceleration and peak velocity following a strong earthquake[J]. Bull Seism Soc Amer, 91(5): 1218——1228.

    Wu Y M, Teng T L, Shin T C, Hsiao N C. 2003. Relationship between peak ground acceleration, peak ground velocity, and intensity in Taiwan[J]. Bull Seism Soc Amer, 93(1): 386——396.

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