Synthesis of ground motion history compatible with the response spectrum with densified controlling points
-
摘要: 在传统地震动反应谱频域拟合方法的基础上，提出了拟合加密控制点目标反应谱的地震动合成方法，并在此基础上利用实际算例与传统方法进行了对比.本文方法在每次迭代调整过程中均考虑了对地震动加速度强度包络函数的模拟，并且对调整后的地震动进行了基线校正，从而确保最终合成的地震动时程既能以一定精度拟合加密目标反应谱，又能满足目标包络函数的要求，同时保证积分所得位移曲线不产生基线漂移.数值算例分析结果表明，本文方法与传统非加密控制点目标谱拟合方法相比，在地震动时程曲线合成、反应谱拟合精度以及收敛速度等方面均具有一定的优势.Abstract: Based on traditional frequency-domain response-spectrum-compatible method of ground motion, this paper proposes a synthesized method that can generate ground motion which is compatible with the target response spectrum with densified controlling points, and further compares the method with the classical one compatible with target response spectra of ground motion. This method takes into account the simulation of the acceleration envelope of the ground motion during each iteration adjustment for the initial non-stationary artificial ground motions generated by the trigonometric series superposition method, and the resulting ground-motion acceleration after the each iteration will undergo the baseline correction. Therefore, the synthesized ground motion generated by the proposed method can not only match the densified target spectrum with certain precision, but also satisfy the requirement of the envelope function of acceleration time history, and the integrated displacement curve does not present any baseline drift. Numerical results show that this method can not only match the target spectrum with relatively high convergence speed, but also fit the target envelope function with high precision. In addition, this method can realize baseline correction for the initial ground motion.
-
自2014年3月以来，我们在云南省嵩明县小新街小江断裂附近(图 1a)，利用电阻率层析成像技术进行与地震有关的电阻率图像动态变化的监测试验．布设了两条测线： 一条横跨小江断裂，长约700 m; 另一条几乎与小江断裂走向平行，长约1 150 m(图 1b)．大约每两个月观测一次，观测中采用温纳-α装置．所使用的观测仪器为德国DMT公司的RESECS Ⅱ直流电法仪．观测场地的测试结果表明，该仪器对视电阻率的相对测量精度优于3%．
![]()
图 1 (a) 试验观测点(小新街)位置示意图，观测点距云南省地震局约70 km； (b) 测线布设示意图Figure 1. (a) The experimentally observational site (Xiaoxinjie town) which is about 70 km to Earthquake Administration of Yunnan Province； (b) Layout of measuring lines (blue lines) where the red line denotes Xiaojiang fault据中国地震台网测定，在试验观测时段中，云南省发生了4次MS≥4.5地震(表 1)．我们的观测结果显示，无论是横跨还是平行于小江断裂走向的测线，在2014年8月和10月之前电阻率图像均未出现明显的异常变化(图 2a，b，c，d)； 但在2015年1月(图 2f)都出现了明显的“区域性”降低； 约两个月之后，相继发生了沧源MS5.5和嵩明MS4.5地震(表 1)； 震后约2.5个月(图 2g)，电阻率图像几乎恢复至震前约4个月(图 2e)时的状态．一般情况下，气候(如降雨、干旱)和人类活动(如灌溉、抽取地下水)等对电阻率图像的影响不会超过100 m深度，这表明我们观测到的电阻率图像，特别是100 m深度以下部位的“区域性”电阻率异常降低可能与地震活动有关．由于地震前的电阻率异常空间分布与活动断层展布有关系，并且其幅度随震中距增加呈线性衰减(杜学彬，2010)，因此本文认为： 2015年1月所观测到的电阻率“区域性”异常(电阻率减小)(图 2f)为嵩明MS4.5地震所致，同时表 1中前3次较大震级、较远距离的地震前未出现异常也是观测事实．
表 1 试验观测期间云南MS≥4.5地震的相关信息Table 1. Information related to the MS≥4.5 earthquakes during our experimental observation period序号 发震时间 地点 MS 震中位置 震源深度/km 震中距观测点的距离/km 年-月-日 北纬/° 东经/° 1 2014-08-03 昭通市鲁甸县 6.5 27.1 103.3 ~12 ~200 2 2014-10-07 普洱市景谷傣族彝族自治县 6.6 23.4 100.5 ~5 ~350 3 2015-03-01 临沧市沧源佤族自治县 5.5 23.5 98.9 ~11 ~480 4 2015-03-09 昆明市嵩明县 4.5 25.3 103.1 ~12 ~12 ![]()
图 2 小新街小江断裂附近的随时间变化的电阻率图像(a-c)Figure 2. Resistivity variation images with time on the measuring line Ⅰ (left panels) and Ⅱ (right panels) near Xiaojiang fault in Xiaoxinjie town (a-c)![]()
图 2 小新街小江断裂附近的随时间变化的电阻率图像(d-g)Figure 2. Resistivity variation images with time on the measuring line Ⅰ (left panels) and Ⅱ (right panels) near Xiaojiang fault in Xiaoxinjie town (d-g) -
![]()
图 1 一次迭代中加入脉冲前后地震动加速度(a)、速度(b)和位移(c)时程曲线及加速度脉冲时程(d)
Figure 1. The time-history curves of acceleration (a), velocity (b) and displacement (c) and acceleration pulse duration (d) of the ground motion before and after the pulse are added to the iteration
![]()
图 2 基线校正对地震动反应谱的影响
Figure 2. Influence of baseline correction on response spectrum of ground motion
![]()
图 4 传统方法合成的地震动加速度(a)、速度(b)和位移(c)时程曲线以及反应谱拟合情况(d)
Figure 4. The acceleration (a), velocity (b) and displacement (c) time-history curves and response spectrum fitting (d) of the synthetic ground motion by conventional non-encrypted method
![]()
图 5 本文方法合成的地震动加速度(a)、速度(b)和位移(c)时程曲线以及反应谱拟合情况(d)
Figure 5. The acceleration (a), velocity (b) and displacement (c) time-history curves and the response spectrum fitting (d) of the synthetic ground motion by the encrypted method proposed in this paper
![]()
图 6 加密控制点和迭代包络对迭代运算的收敛速度的影响
Figure 6. The effect of the encrypted control point and iterative envelope on the convergence speed of iterative operation
![]()
图 7 传统非加密方法合成地震动的加速度(a)、速度(b)、位移(c)时程曲线和加速度反应谱(d)
Figure 7. The acceleration (a), velocity (b) and displacement (c) history curves and response spectra (d) of synthetic ground motion by conventional non-encrypted method
![]()
图 8 本文加密方法合成地震动的加速度(a)、速度(b)、位移(c)时程曲线和加速度反应谱(d)
Figure 8. The acceleration (a), velocity (b) and displacement (c) history curves and response spectrum (d) of synthetic ground motion by encrypted method proposed in this paper
-
曹晖, 赖明, 白绍良. 2002.基于小波变换的地震地面运动仿真研究[J].土木工程学报, 35(4): 40-46. doi: 10.3321/j.issn:1000-131X.2002.04.008 Cao H, Lai M, Bai S L. 2002. Study on the simulation of earthquake ground motions based on wavelet transform[J]. China Civil Engineering Journal, 35(4): 40-46 (in Chinese). http://en.cnki.com.cn/Article_en/CJFDTOTAL-TMGC200204007.htm
陈天红, 张伯艳, 谢清荣, 谭海滨. 2010.人工合成地震波研究[J].四川建筑科学研究, 36(2): 201-203. http://www.doc88.com/p-14365514980.html Chen T H, Zhang B Y, Xie Q R, Tan H B. 2010. Study on the generation of artificial earthquake wave[J]. Sichuan Building Science, 36(2): 201-203 (in Chinese). http://en.cnki.com.cn/Article_en/CJFDTOTAL-ACZJ201002057.htm
胡聿贤, 何训. 1986.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动, 6(2): 37-51. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=dggc198602003&dbname=CJFD&dbcode=CJFQ Hu Y X, He X. 1986. Phase angle consideration in generating response spectrum-compatible ground motion[J]. Earthquake Engineering and Engineering Dynamics, 6(2): 37-51 (in Chinese). doi: 10.1007/s11803-006-0625-y
胡聿贤. 2006.地震工程学[M].第二版.北京:地震出版社: 125-127. Hu Y X. 2006. Earthquake Engineering[M]. 2nd ed. Beijing: Seismological Press: 125-127 (in Chinese).
霍俊荣, 胡聿贤, 冯启民. 1991.地面运动时程强度包络函数的研究[J].地震工程与工程振动, 11(1): 1-12. http://www.doc88.com/p-0522616991089.html Huo J R, Hu Y X, Feng Q M. 1991. Study on envelope function of acceleration time history[J]. Earthquake Engineering and Engineering Dynamics, 11(1): 1-12 (in Chinese). http://en.cnki.com.cn/Article_en/CJFDTOTAL-DGGC199101000.htm
全伟, 李宏男. 2007.基于小波变换的拟合规范反应谱多维地震动模拟[J].地震工程与工程振动, 27(4): 103-108. http://www.oalib.com/paper/4606012 Quan W, Li H N. 2007. Generation of spectrum-compatible multi-dimensional artificial ground motions via wavelet transform[J]. Journal of Earthquake Engineering and Engineering Vibration, 27(4): 103-108 (in Chinese). http://en.cnki.com.cn/Article_en/CJFDTotal-DGGC200704017.htm
张郁山, 赵凤新. 2014.基于小波函数的地震动反应谱拟合方法[J].土木工程学报, 47(1): 70-81. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=tmgc201401011&dbname=CJFD&dbcode=CJFQ Zhang Y S, Zhao F X. 2014. Matching method of ground-motion response spectrum based on the wavelet function[J]. China Civil Engineering Journal, 47(1): 70-81 (in Chinese). http://nehrp.gov/pdf/nistgcr11-917-15.pdf
中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会. 2005. GB 17741—2005工程场地地震安全性评价[S]. 北京: 中国标准出版社: 78-84. General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, China National Standardization Administration Commission. 2005. GB 17741-2005 Evaluation of Seismic Safety for Engineering Sites[S]. Beijing: Chinese Standard Press: 78-84 (in Chinese).
中华人民共和国住房和城乡建设部, 中华人民共和国国家质量监督检验检疫总局. 2010. GB 50011—2010建筑抗震设计规范[S]. 北京: 中国建筑工业出版社: 31-35. Ministry of Housing and Urban Rural Development of the People's Republic of China, General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China. 2010. GB 50011-2010 Code for Seismic Design of Buildings[S]. Beijing: China Architecture and Building Press: 31-35 (in Chinese).
U.S. Nuclear Regulatory Commission. 2014. NUREG-0800, Standard Review Plan 3.7.1: Seiamic Design Parameters[S]. Revision 4. Rockville: Nuclear Regulatory Commission: 7-12.
-
期刊类型引用(1)
1. 朱涛. 地震电阻率实验研究新进展及展望. 地球与行星物理论评. 2021(01): 61-75 . 
百度学术
其他类型引用(1)
下载:
计量
- 文章访问数: 1204
- HTML全文浏览量: 482
- PDF下载量: 35
- 被引次数: 2
