Locating Deep Earthquakes in Complex 3-D Velocity Structure Using a Modified Double-Difference Location Method
-
摘要: 双差分地震定位法采用了一维射线追踪法和直角坐标系, 不适合于复杂速度模型中的地震定位.本研究采用三维射线追踪技术和球坐标系改进了双差分定位法, 扩大了它的应用范围.为了检验新方法的可行性和准确性, 以日本海地区下方的深发地震为研究对象, 通过对比4种复杂速度模型中双差分定位结果, 分析速度结构对双差分定位的影响.结果表明, 改进后的双差分定位法受速度结构变化的影响较小, 而且当震源区的速度模型越接近真实速度结构时, 定位结果的精度越高, 这为利用深发地震研究地球深部构造奠定了基础.Abstract: The double-difference (DD) earthquake location algorithm cannot be used to locate earthquakes in the complex 3-D velocity models because it adopts a 1-D ray tracing technique and the Cartesian coordinates. In this study, we have improved the DD location method by adopting a 3-D ray tracing method and the spherical coordinates, and thus extended the range of its applications. To testify the feasibility and the precision of this new method, we have relocated the deep earthquakes that occurred beneath the Japan Sea, and analyzed the effect of velocity models by comparing the relocation results in four kinds of 3-D velocity models. Our results show that the improved DD location method is less affected by the velocity model, and the closer the velocity structure in the hypocenter to the real one is, the higher the location precision is. The improved DD location technique would be very useful for studying the mantle structure by using data from deep earthquakes.
-
Key words:
- earthquakes /
- double-difference location /
- 3-D velocity model /
- Japan Sea
-
图 2 震中和地震观测台站位置分布
a.空心圆圈和黑色正方形分别代表78个深发地震的震中和816个地震观测台站; 等深线代表太平洋俯冲板块的上边界深度, km (Zhao et al., 1997); b.横坐标表示震源位置相对于板块上边界的距离, 纵坐标表示震源深度
Fig. 2. Distribution of epicenters and seismic stations used in this study
表 1 不同速度模型中的速度扰动值
Table 1. Velocity perturbation (in %) in different velocity models (see text for details)
-
[1] Crosson, R. S., 1976. Crustal structure modeling of earth-quake data, 1: Simultaneous least squares estimation of hypocenter and velocity parameters. Journal of Geophysics Research, 81 (17): 3036-3046. doi: 10.1029/JB081i017p03036 [2] Douglas, A., 1967. Joint epicenter determination. Nature, 215: 45-48. doi: 10.1038/215045a0 [3] Geiger, L., 1912. Probability method for the determination of earthquake epicenters from the arrival time only. Bulletin St. Louis University, 8: 60-71. [4] Jeffreys, H., Bullen, K. E., 1940. Seismological tables. British Association for the Advancement of Science. Gray Milne Trust, London. [5] Jiang, G. M., Zhao, D. P., Zhang, G. B., 2008. Detailed structure of the subducting Pacific slab beneath the Japan islands and Japan Sea. Earth Science Frontiers, 15 (1): 222-231 (in Chinese with English abstract). [6] Klein, F. W., 1978. Hypocenter location program HYPOIN-VERSE Part Ⅰ: Users guide to versions 1, 2, 3 and 4. USA Geology Survey, Open-File Rept., 78-694. [7] Li, Y. H., Pan, Y. S., Zhang, K., et al., 2006. The usage of the double-difference location approach in Shandong. Seismological and Geomagnetic Observation and Research, 27 (4): 8-16 (in Chinese with English ab-stract). [8] Liu, F. T., 1984. Simultaneous inversion of earthquake hypocenters and velocity structure (Ⅰ) —theory and method. Acta Geophysica Sinica, 27 (2): 167-175 (in Chinesewith English abstract). [9] Nelson, G. D., Vidale, J. E., 1990. Earthquake locations by 3-D finite-difference travel times. Bulletin of the Seismological Society of America, 80 (2): 395-410. doi: 10.1785/BSSA0800020395 [10] Paige, C. C., Saunders, M. A., 1982. LSQR: An algorithm for sparse linear equations and sparse least squares. ACM Trans. Math. Software, 8 (1): 43-71. doi: 10.1145/355984.355989 [11] Rong, D. L., Li, Y. R., 2004. Study on the generating fault and mechanism of the M5.9 Yumen earthquake on Dec. 14, 2002, according to the accurate location of the seismic sequences using the double-difference earthquake location algorithm. Northwestern Seismological Journal, 26 (3): 223-227. [12] Spencer, C., Gubbins, D., 1980. Travel-time inversion for simultaneous earthquake location and velocity structure determination in laterally varying media. GeophysicalJournal of the Royal Astronomical Society, 63 (1): 95-116. doi: 10.1111/j.1365-246X.1980.tb02612.x [13] Tian, Y., Chen, X. F., 2002. Review of seismic location study. Progress in Geophysics, 17 (1): 147-155 (in Chinese with English abstract). [14] Um, J., Thurber, C., 1987. A fast algorithm for two-point seismic ray tracing. Bulletin of the Seismological Society of America, 77: 972-986. doi: 10.1785/BSSA0770030972 [15] Waldhauser, F., Ellsworth, W. L., 2000. A double-difference earthquake location algorithm: Method and application to the northern Hayward fault, California. Bulletin of the Seismological Society of America, 90 (6): 1353-1368. doi: 10.1785/0120000006 [16] Wang, X. P., Wang, Y. W., Li, H. M., 2005. Precise location of Zhangjiagang earthquake sequence using double different earthquake location algorithm and the technology of seismic station net in Jiangsu. Inland Earthquake, 19 (3): 257-263 (in Chinese with English abstract). [17] Wessel, P., Smith, W. H. F., 1998. Newi mproved version of generic mapping tools released. Eos. Trans., AGU, 79 (47): 579. doi: 10.1029/98EO00426 [18] Wu, M. X., Wang, M., Sun, C. C., et al., 1990. Accurate hypocenter determination of aftershocks of the 1985 Luquan earthquake. Acta Seismologica Sinica, 12 (2): 121-129 (in Chinese with English abstract). [19] Yang, G., 2006. Using the double-different earthquake location algorithm to relocate small earthquakes in Shuikou reservoir region of Fujian Province. Fujian Seismology, 22 (3-4): 51-55 (in Chinese with English ab-stract). [20] Yang, Z. S., Zeng, W. J., 2007. Relocation of the 26 Nov. 2005 Jiujiang-Ruichang M5.7 earthquake sequence using the double-difference earthquake location algorithm. Seismological and Geomagnetic Observation and Research, 28 (2): 25-31 (in Chinese with English ab-stract). [21] Yao, Y. S., Li, J. G., Lian, C., et al., 2007. Improvement of relocation program based on double-difference (DD) algorithm. Journal of Geodesy and Geodynamics, 27 (3): 76-79 (in Chinese with English abstract). [22] Zhao, D., Hasegawa, A., Horiuchi, S., 1992. Tomographic imaging of P and S wave velocity structure beneath northeastern Japan. Journal of Geophysical Research, 97 (B13): 19909-19928. doi: 10.1029/92JB00603 [23] Zhao, D., Matsuzawa, T., Hasegawa, A., 1997. Morphology of the subducting slab boundary in the northeastern Japan arc. Physics of the Earth and Planetary Interiors, 102 (1-2): 89-104. doi: 10.1016/S0031-9201(96)03258-X [24] Zhao, Z. H., 1983. An earthquake location program with multiple velocity model and its application in the Beijing seismic network. Acta Seismologica Sinica, 5 (2): 242-254 (in Chinese with English abstract). [25] 江国明, 赵大鹏, 张贵宾, 2008. 日本列岛下太平洋俯冲板块的精细结构. 地学前缘, 15 (1): 222-231. doi: 10.3321/j.issn:1005-2321.2008.01.028 [26] 李永红, 潘元生, 张坤, 等, 2006. 双差定位方法在山东地区的应用. 地震地磁观测与研究, 27 (4): 8-16. doi: 10.3969/j.issn.1003-3246.2006.04.002 [27] 刘福田, 1984. 震源位置和速度结构的联合反演(Ⅰ)———理论和方法. 地球物理学报, 27 (2): 167-175. doi: 10.3321/j.issn:0001-5733.1984.02.006 [28] 田玥, 陈晓非, 2002. 地震定位研究综述. 地球物理学进展, 17 (1): 147-155. doi: 10.3969/j.issn.1004-2903.2002.01.022 [29] 王小平, 王燕纹, 李慧民, 2005. 结合双差地震定位法及台阵技术对江苏张家港地震序列进行精确定位. 内陆地震, 19 (3): 257-263. https://www.cnki.com.cn/Article/CJFDTOTAL-LLDZ200503009.htm [30] 吴明熙, 王鸣, 孙次昌, 等, 1990.1985年禄劝地震部分余震的精确定位. 地震学报, 12 (2): 121-129. [31] 杨贵, 2006. 福建水口水库地区微震双差法重新定位. 福建地震, 22 (3-4): 51-55. https://www.cnki.com.cn/Article/CJFDTOTAL-FJDI2006Z2007.htm [32] 杨中书, 曾文敬, 2007. 利用双差法对2005年江西九江-瑞昌5.7级地震序列重新定位. 地震地磁观测与研究, 28 (2): 25-31. doi: 10.3969/j.issn.1003-3246.2007.02.002 [33] 姚运生, 李井冈, 廉超, 等, 2007. 双差地震定位程序的改进. 大地测量与地球动力学, 27 (3): 76-79. https://www.cnki.com.cn/Article/CJFDTOTAL-DKXB200703017.htm [34] 赵仲和, 1983. 多重模型地震定位程序及其在北京台网的应用. 地震学报, 5 (2): 242-254. https://www.cnki.com.cn/Article/CJFDTOTAL-DZXB198302011.htm