基于正态分布的双差波速比方法研究−以山东长岛震群为例

孙强; 王鹏; 张正帅

doi:10.11899/zzfy20240112

基于正态分布的双差波速比方法研究−以山东长岛震群为例

doi: 10.11899/zzfy20240112

孙强^{1, 2,},
王鹏³,
张正帅⁴

1.
淄博市应急救援指挥保障服务中心, 山东淄博 255086
2.
淄博市防震减灾中心, 山东淄博 255086
3.
山东石油化工学院, 山东东营 257061
4.
山东省地震局, 济南 250014

基金项目: 中国地震局震情跟踪青年任务（2020010120）；山东省地震局一般科研项目（YB2112）

详细信息

作者简介:
孙强，男，生于1983年。硕士，高级工程师。主要从事地震活动性及数字地震学方面的研究。E-mali：2860415183@qq.com

计量
- 文章访问数: 32
- HTML全文浏览量: 8
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2022-08-11
- 刊出日期: 2024-03-31

Research on Double Differential Velocity Ratio Method Based on Normal Distribution−A Case Study of Changdao Earthquake Swarm in Shandong Province

1.
) Zibo Emergency and Rescue Command Support Service Center, Zibo 255086, Shandong, China
2.
Earthquake Prevention and Disaster Reduction Center of Zibo City, Zibo 255086, Shandong, China
3.
Shandong Institute of Petroleum and Chemical Technology, Dongying 257061, Shandong, China
4.
Earthquake Agency of Shandong Province, Jinan 250014, China

摘要

摘要: 对于震源位置相对集中的震群活动，首先应用双差波速比法对台站到时数据进行2次差分，该方法充分利用不同台站纵横波的到时数据，无需地震发震时刻及位置信息，且将计算波速比范围限定在震源区附近，消除了震源区到台站传播路径的影响；然后运用正态分布的组合去除误差分布的影响，得到关于去除误差分布后的纵横波到时二维正态分布，通过公式推导确定了二维正态分布的相关系数；最后，通过计算置信椭圆长轴斜率得到长岛震群整体波速比。研究结果表明，长岛震群整体波速比为1.727 5，等地震数滑动（60个）计算得到的波速比区间为[1.488 7, 3.054 1]；2017、2018年长岛震群波速比变化与震群活动过程密切相关，同时反映了震源区介质流体饱和度、裂隙密度和状态变化。
- 双差波速比 /
- 误差传播 /
- 正态分布 /
- 相关系数 /
- 长岛震群
Abstract: For the earthquake swarm activity with relatively concentrated source locations, the method of double differential wave velocity ratio is used to make two differences on the arrival time data of the station. By doing this, the method makes full use of the arrival time data of the P and S waves of different stations, in which it takes advantage of that it does not need the information of the time and location of the earthquake.The range of the calculated wave velocity ratio is limited to the vicinity of the source area, which eliminates the influence of the propagation path from the source area to the station.Furthermore, the combination of normal distribution is used to remove the influence of the error distribution, and the two-dimensional normal distribution of the time of the P and S waves after the error distribution is obtained. Then, the correlation coefficient of two-dimensional normal distribution is determined by formula derivation.Finally, the slope of the major axis of the confidence ellipse is calculated to obtain the overall wave velocity ratio of Changdao earthquake swarm. Using the method above in this paper, we obtained that the ratio of the whole wave velocity of Changdao earthquake swarm is 1.7275, and the ratio interval of wave velocity calculated by equal number of earthquakes sliding (60) is [1.4887,3.0541]. We concluded that the change of wave velocity ratio of Changdao earthquake swarm from 2017 to 2018 is closely related to the process of swarm activity, and reflects the changes of fluid saturation, fracture density and state of the medium in the source area.
- Double differential wave velocity ratio /
- Error propagation /
- Normally distributed combination /
- The correlation coefficient /
- Changdao earthquake swarm

HTML全文

图 1 双差波速比法示意

Figure 1. Schematic diagram of double differential wave velocity ratio method

下载: 全尺寸图片幻灯片

图 2 长岛震群位置

Figure 2. Location map of Changdao earthquake swarm

下载: 全尺寸图片幻灯片

图 3 长岛震群M_L≥1.0地震震中分布（双差定位）

Figure 3. Distributio of earthquake with M_L≥1.0 in Changdao earthquake swarm(Double-Difference Hypocenter Locations)

下载: 全尺寸图片幻灯片

图 4 长岛震群P、S震相双差数据对统计结果

Figure 4. Statistical plots for data pairs of double differential P and S phases of the Changdao earthquake swarm

下载: 全尺寸图片幻灯片

图 5 长岛震群震源深度随时间变化曲线（双差定位）

Figure 5. Time variation curve of focal depth of Changdao earthquake swarm（Double-difference hypocenter locations）

下载: 全尺寸图片幻灯片

图 6 二维正态分布置信椭圆及长短轴向量

Figure 6. Two dimensional normal distribution confidence ellipses and major axis and minor axis vectors

下载: 全尺寸图片幻灯片

图 7 长岛震群波速比分析结果

Figure 7. Results of wave velocity ratio of Changdao earthquake swarm

下载: 全尺寸图片幻灯片

图 8 长岛震群双差波速比在95%置信区间内的误差范围

Figure 8. Error range within 95% confidence intervals for double difference wave velocity ratios in Changdao earthquake swarm

下载: 全尺寸图片幻灯片

图 9 多台和达法计算的长岛震群波速比曲线

Figure 9. Plot of wave velocity ratio calculated by the multiple summation method

下载: 全尺寸图片幻灯片

参考文献(28)

陈丽娟, 龚丽文, 董娣等, 2022. 利用纵、横波震源谱参数研究波速比——以岷县-漳县Ms6.6地震为例. 地震工程学报, 44（1）: 158—165

Chen L. J. , Gong L. W. , Dong D. , et al. , 2022. Wave velocity ratio of the Minxian--Zhangxian Ms6.6 earthquake from source spectral parameters of P-wave and S-wave. China Earthquake Engineering Journal, 44(1): 158—165. (in Chinese)

费业泰, 2017. 误差理论与数据处理. 7版. 北京: 机械工业出版社.

冯德益, 谭爱娜, 王克芬, 1974. 近地震波速异常与地震预报. 地球物理学报, 17（2）: 84—98

Feng D. Y. , Tan A. N. , Wang K. F. , 1974. Velocity anomalies of seismic waves from near earthquakes and earthquake prediction. Chinese Journal of Geophysics, 17(2): 84—98. (in Chinese)

冯德益, 1975.1974年5月云南省永善-大关7.1级强震前波速比的异常变化. 地球物理学报, 18（4）: 235—239

Feng D. Y. , 1975. Anomalous variations of seismic velocity ratio before the Yongshan-Daguan earthquake (M=7.1) on May 11, 1974. Chinese Journal of Geophysics, 18(4): 235—239. (in Chinese)

冯德益, 郑斯华, 盛国英等, 1976. 我国西部地区一些强震及中强震前后波速异常的初步研究（一）——波速比异常. 地球物理学报, 19（3）: 196—205

Feng D. Y. , Zheng S. H. , Sheng G. Y. , et al. , 1976. Preliminary study of the velocity anomalies of seismic waves before and after some strong and moderate earthquakes in western China (I)—the velocity ratio anomalies. Chinese Journal of Geophysics, 19(3): 196—205. (in Chinese)

冯德益, 1981. 地震波速异常. 北京: 地震出版社.

贾漯昭, 王志铄, 张亚琳等, 2017. 用双差波速比方法分析2014—2015年安徽金寨震群. 地震, 37（1）: 112—120

Jia L. Z. , Wang Z. S. , Zhang Y. L. , et al. , 2017. Analysis of the 2014-2015 Jinzhai earthquake swarm by double-difference V_P/V_S ratio method. Earthquake, 37(1): 112—120. (in Chinese)

黎明晓, 张晓东, 2004. 应用多台法测定华北地区地壳的平均波速比. 地震, 24（1）: 163—169 doi: 10.3969/j.issn.1000-3274.2004.01.024

Li M. X. , Zhang X. D. , 2004. Determining average seismic velocity ratios (V_S/V_S) in the curst in North China region by multi-station method. Earthquake, 24(1): 163—169. (in Chinese) doi: 10.3969/j.issn.1000-3274.2004.01.024

李艳娥, 王林瑛, 郑需要, 2014. 汶川地震前后波速比变化特征的再研究. 地震学报, 36（3）: 425—432 doi: 10.3969/j.issn.0253-3782.2014.03.008

Li Y. E. , Wang L. Y. , Zheng X. Y. , 2014. Restudy of the variation of v_P/v_S before and after the Wenchuan earthquake. Acta Seismologica Sinica, 36(3): 425—432. (in Chinese) doi: 10.3969/j.issn.0253-3782.2014.03.008

李艳娥, 王林瑛, 宋美卿等, 2016. 从波速比变化看汶川与芦山地震的孕震过程. 大地测量与地球动力学, 36（11）: 991—997

Li Y. E. , Wang L. Y. , Song M. Q. , et al. , 2016. Study of the Seismogenic process from Wenchuan to the Lushan earthquake based on wave velocity ratio temporal variation. Journal of Geodesy and Geodynamics, 36(11): 991—997. (in Chinese)

刘文邦, 万玉杰, 李玮杰, 2016.2016年青海门源6.4级地震前后波速比变化研究. 地震研究, 39（S1）: 49—54

Liu W. B. , Wan Y. J. , Li W. J. , 2016. Research on variation of wave velocity ratio before and after Qinghai Menyuan M_S6.4 earthquake in 2016. Journal of Seismological Research, 39(S1): 49—54. (in Chinese)

龙海英, 聂晓红, 唐兰兰, 2011 a. 新疆乌苏5.1级地震前波速比异常震例研究. 地震研究, 34（2）: 126—130

Long H. Y. , Nie X. H. , Tang L. L. , 2011 a. Study of the abnormity of wave-velocity ratio before M_S5.1 Wusu earthquake in Xinjiang. Journal of Seismological Research, 34(2): 126—130. (in Chinese)

龙海英, 聂晓红, 唐兰兰, 2011 b. 新疆和静5.6级地震前波速比异常震例分析. 中国地震, 27（2）: 147—154

Long H. Y. , Nie X. H. , Tang L. L. , 2011 b. Case analysis of wave velocities ratio abnormity before Hejing M5.6 earthquake in Xinjiang. Earthquake Research in China, 27(2): 147—154. (in Chinese)

申金超, 李士成, 张斌, 2019. 长岛震群b值随深度变化特征. 地震, 39（2）: 28—36 doi: 10.3969/j.issn.1000-3274.2019.02.004

Shen J. C. , Li S. C. , Zhang B. , 2019. Variation of b value with depth in the Changdao earthquake sequence. Earthquake, 39(2): 28—36. (in Chinese) doi: 10.3969/j.issn.1000-3274.2019.02.004

王林瑛, 李艳娥, 郑需要等, 2014. 芦山M_S7.0强震前单台波速比变化特征研究. 地震学报, 36（1）: 42—58

Wang L. Y. , Li Y. E. , Zheng X. Y. , et al. , 2014. Temporal variation of v_P/v_S at single seismic station before the 2013 Lusha M_S7.0 earthquake. Acta Seismologica Sinica, 36(1): 42—58. (in Chinese)

张琳琳, 高朝军, 2016. 新疆天山地区的波速比异常分析. 中国地震, 32（1）: 118—126

Zhang L. L. , Gao C. J. , 2016. Analysis of wave velocity ratio anomalies in the Tianshan region, Xinjiang. Earthquake Research in China, 32(1): 118—126. (in Chinese)

郑建常, 李冬梅, 2019. 基于误差分布的震源区波速比反演及其应用: 乳山震群源区介质性质变化研究. 地球物理学报, 62（5）: 1693—1703

Zheng J. C. , Li D. M. , 2019. Inversion for velocity ratios in focal areas based on error distribution and its application: a study on variations of medium properties in the source of the Rushan earthquake swarm. Chinese Journal of Geophysics, 62(5): 1693—1703. (in Chinese)

Catchings R. D. , Rymer M. J. , Goldman M. R. , et al. , 2014. A method and example of seismically imaging near-surface fault zones in geologically complex areas using V_P, V_S, and their ratios. Bulletin of the Seismological Society of America, 104(4): 1989—2006. doi: 10.1785/0120130294

Dahm T. , Fischer T. , 2014. Velocity ratio variations in the source region of earthquake swarms in NW Bohemia obtained from arrival time double-differences. Geophysical Journal International, 196(2): 957—970. doi: 10.1093/gji/ggt410

Domenico S. N. , 1984. Rock lithology and porosity determination from shear and compressional wave velocity. Geophysics, 49(8): 1188—1195. doi: 10.1190/1.1441748

Koch M. , 1992. Bootstrap inversion for vertical and lateral variations of the S wave structure and the v_P/v_S-ratio from shallow earthquakes in the Rhinegraben seismic zone, Germany. Tectonophysics, 210(1—2): 91—115. doi: 10.1016/0040-1951(92)90130-X

Lin G. , Shearer P. , 2007. Estimating local V_P/V_S ratios within similar earthquake clusters. Bulletin of the Seismological Society of America, 97(2): 379—388. doi: 10.1785/0120060115

Nicholson C. , Simpson D. W. , 1985. Changes in V_P/V_S with depth: implications for appropriate velocity models, improved earthquake locations, and material properties of the upper crust. Bulletin of the Seismological Society of America, 75(4): 1105—1123.

Palo M. , Tilmann F. , Schurr B. , 2016. Applicability and bias of V_P/V_S estimates by P and S differential arrival times of spatially clustered earthquakes. Bulletin of the Seismological Society of America, 106(3): 1055—1063. doi: 10.1785/0120150300

Scholz C. H. , Sykes L. R. , Aggarwal Y. P. , 1973. Earthquake prediction: a physical basis. Science, 181(4102): 803—810. doi: 10.1126/science.181.4102.803

Smith E. G. C. , 1983. Joint determination of seismic velocity ratios: theory and application to an aftershock sequence. Bulletin of the Seismological Society of America, 73(2): 405—417.

Wang X. Q., Schubnel A., Fortin J., et al., 2012. High V_P/V_S ratio: saturated cracks or anisotropy effects? Geophysical Research Letters, 39(11): L11307.

Wilkens R. , Simmons G. , Caruso L. , 1984. The ratio V_P/V_S as a discriminant of composition for siliceous limestones. Geophysics, 49(11): 1828—2078. doi: 10.1190/1.1441596

施引文献

资源附件(0)

访问统计