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基于弹性位错理论的2004年Mw 6.0 Parkfield地震断层应力降分布

  • 窦甜甜 ,
  • 程惠红 ,
  • 石耀霖
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  • 中国科学院大学地球与行星科学学院 中国科学院计算地球动力学重点实验室, 北京 100049

收稿日期: 2021-03-08

  修回日期: 2021-05-07

  网络出版日期: 2021-05-07

基金资助

国家重点研发计划(2018FYC1504205)、国家自然科学基金委-中国地震局地震科学联合基金(U1839207)和中央高校基本科研业务费专项资金(Y95401SXX2)资助

Stress drop distribution of 2004 Mw 6.0 Parkfield earthquake based on the elastic dislocation theory

  • DOU Tiantian ,
  • CHENG Huihong ,
  • SHI Yaolin
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  • CAS Key Laboratory of Computational Geodynamics, College of Earth and Planetary Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2021-03-08

  Revised date: 2021-05-07

  Online published: 2021-05-07

摘要

地震的发生伴随着区域应力状态调整,地震学上通常采用应力降表征震源区的应力释放水平。作为重要震源参数之一,应力降被广泛用于地震类型判断、震后应力状态分析及破裂扩展预测。目前,地震学家们常常根据拐角频率给出一个平均应力降结果,但是,一方面,发震区域和断层面岩石强度及应力状态存在不均匀性,单一的平均值难以呈现出空间变化,很难反映整个断层面上的应力调整情况;另一方面,由于观测台网限制、各个台站场地、射线路径等震源谱数据及相关计算参数获取方式和精确度不同而往往导致不同研究结果存在较大差异。为此,从力学角度出发,利用Okada静力学方法计算断层错动所引起的断层面上的剪应力变化,即基于位错滑动模型得到断层面上的地震应力降分布。数值计算结果表明,地震的发生虽然释放了断层面上的集中应力,但由于断层面上存在障碍体或者滑动量不均匀分布,断层面上位错量大的局部区域应力释放反而会使得其邻近区域应力集中,呈现出地震应力降非均匀分布现象,增大了断层面局部段落再次破裂的风险。应力降的非均匀性分布和断层几何形状的变化一定程度上也决定了断层的非均匀滑移行为。以2004年Mw 6.0 Parkfield地震为例,计算其断层面上应力降分布:主震最大错动区域地震应力降约9.2MPa,但是在发震断层上部分段落的应力反而增加,可达-3.5MPa。相较于单一的平均地震应力降,基于位错模型获取应力降分布可更好地反映出震源破裂过程及对余震发展的分析预测。

本文引用格式

窦甜甜 , 程惠红 , 石耀霖 . 基于弹性位错理论的2004年Mw 6.0 Parkfield地震断层应力降分布[J]. 中国科学院大学学报, 2023 , 40(2) : 179 -190 . DOI: 10.7523/j.ucas.2021.0041

Abstract

The occurrence of earthquakes is accompanied by regional stress state adjustment. In seismology, stress drop is usually used to characterize the stress release level after an earthquake. As one of the important parameters, stress drop is widely used to judge the type of earthquake, analyze the stress state after earthquake, and predict the rupture propagation. At present, seismologists often give an average stress drop value based on the earthquake corner frequency. However, the rock strength and stress state of the seismic fault plane are inhomogeneities in real terms. Besides, a single average value is difficult to show the spatial variation in stress changes, which could not reflect the stress adjustment across fault plane. Meanwhile, there are great differences among different researches due to the limited observation stations or different source spectrum data or other related calculation parameters. In this paper, from the point of view of mechanics, we propose the method of adoption the Okada's dislocation theory to calculate the shear stress change of the fault plane, that is, based on the slip model to obtained the distribution of fault plane. From the results of numerical calculation, it is found that the occurrence of an earthquake releases the concentrated stress of fault plane, due to the presence of obstacles on fault or uneven slip distribution, the stress release in the local area with large dislocation will increase the stress concentration in the adjacent area, showing the phenomenon of non-uniform distribution of stress drop, and increasing the rupture tendency of local section. Moreover, the non-uniformity distribution of stress drop and the uneven fault geometry determine the non-uniform slip behavior of fault. Taking the 2004 Mw 6.0 Parkfield earthquake as an example, the stress drop distribution of the fault plane was calculated. The maximum stress drop was about 9.2MPa, which near the source. But the stress drop increased in some sections of the fault plane, reaching -3.5MPa. Compared with the average stress drop, the distribution of stress drop on fault plane calculated by the dislocation model can better reflect the source rupture process and predict the aftershock evolution.

参考文献

[1] 陈运泰, 顾浩鼎. 震源理论基础[M]. 北京:中国地震局地球物理研究所,北京大学地球与空间科学学院. 2007:17-19.
[2] King G C P, Stein R S, Lin J. Static stress changes and the triggering of earthquakes[J]. Bulletin of the Seismological Society of America, 1994, 84(3):935-953.
[3] Harris R A. Introduction to special section:stress triggers, stress shadows, and implications for seismic hazard[J]. Journal of Geophysical Research:Solid Earth, 1998, 103(B10):24347-24358.
[4] 马瑾, 马胜利, 刘力强, 等. 断层相互作用型式的实验研究[J]. 自然科学进展, 2002, 12(5):503-508.
[5] 万永革, 沈正康, 兰从欣. 兰德斯地震断层面及其附近余震产生的位移场研究[J]. 地震学报, 2005, 27(2):139-146.
[6] Hardebeck J L, Okada T. Temporal stress changes caused by earthquakes:a review[J]. Journal of Geophysical Research:Solid Earth, 2018, 123(2):1350-1365.
[7] Sahara D P, Widiyantoro S, Irsyam M. Stress heterogeneity and its impact on seismicity pattern along the equatorial bifurcation zone of the Great Sumatran Fault, Indonesia[J]. Journal of Asian Earth Sciences, 2018, 164:1-8.
[8] Lei D N, Yang G, Lian C. The 2019 Ridgecrest earthquake sequence:stress triggered by historical earthquakes and imparted stress on surrounding fault systems[J]. Terra Nova, 2021, 33(2):208-223.
[9] 陈运泰. 地震预测:进展、困难与前景[J]. 地震地磁观测与研究, 2007, 28(2):1-24.
[10] Baltay A S, Hanks T C, Abrahamson N A. Earthquake stress drop and Arias intensity[J]. Journal of Geophysical Research:Solid Earth, 2019, 124(4):3838-3852.
[11] 钟羽云, 张帆, 张震峰, 等. 应用强震应力降和视应力进行震后趋势快速判定的可能性[J]. 防灾减灾工程学报, 2004, 24(1):8-14.
[12] 陈学忠. 2001年昆仑山口西8.1级大地震前后震源区应力水平估计[J]. 地震学报, 2005, 27(6):605-609.
[13] Kanamori H, Brodsky E E. The physics of earthquakes[J]. Reports on Progress in Physics, 2004,67(8):1429-1496.
[14] Kanamori H, Anderson D L. Theoretical basis of some empirical relations in seismology[J]. Bulletin of the Seismological Society of America, 1975, 65(5):1073-1095.
[15] Aki K, Richards P G. Quantitative seismology:theory and methods[M]. San Francisco:W. H. Freeman. 1980:932.
[16] Ruff L J. Dynamic stress drop of recent earthquakes:variations within subduction zones[J]. Pure and Applied Geophysics, 1999, 154(3/4):409-431.
[17] Brune J N. Tectonic stress and the spectra of seismic shear waves from earthquakes[J]. Journal of Geophysical Research, 1970, 75(26):4997-5009.
[18] Brune J N. Correction[to "Tectonic stress and the spectra, of seismic shear waves from earthquakes"] [J]. Journal of Geophysical Research, 1971, 76(20):5002-5002.
[19] Hanks T C, Thatcher W. A graphical representation of seismic source parameters[J]. Journal of Geophysical Research, 1972, 77(23):4393-4405.
[20] Shearer P M, Prieto G A, Hauksson E. Comprehensive analysis of earthquake source spectra in southern California[J]. Journal of Geophysical Research:Solid Earth, 2006, 111(B6):B06303.
[21] Allmann B P, Shearer P M. Global variations of stress drop for moderate to large earthquakes[J]. Journal of Geophysical Research:Solid Earth, 2009, 114(B1):B01310.
[22] 秦嘉政, 叶建庆, 钱晓东, 等. 2000年姚安地震的震源参数[J]. 地球物理学报, 2003, 46(5):633-641.
[23] Allmann B P, Shearer P M. Spatial and temporal stress drop variations in small earthquakes near Parkfield, California[J]. Journal of Geophysical Research:Solid Earth, 2007, 112(B4):B04305.
[24] Onwuemeka J, Liu Y J, Harrington R M. Earthquake stress drop in the charlevoix seismic zone, eastern Canada[J]. Geophysical Research Letters, 2018, 45(22):12226-12235.
[25] Courboulex F, Vallée M, Causse M, et al. Stress-drop variability of shallow earthquakes extracted from a global database of source time functions[J]. Seismological Research Letters, 2016, 87(4):912-918.
[26] 孙吉泽. 基于随机有限断层法的最大可信地震研究[D]. 北京:中国地震局地球物理研究所, 2019.
[27] Cotton F, Archuleta R, Causse M. What is sigma of the stress drop?[J]. Seismological Research Letters, 2013, 84(1):42-48.
[28] Neely J S, Stein S, Spencer B D. Large uncertainties in earthquake stress-drop estimates and their tectonic consequences[J]. Seismological Research Letters, 2020, 91(4):2320-2329.
[29] Hardebeck J L, Aron A. Earthquake stress drops and inferred fault strength on the Hayward fault, east San francisco bay, California[J]. Bulletin of the Seismological Society of America, 2009, 99(3):1801-1814.
[30] Goebel T H W, Hauksson E, Plesch A, et al. Detecting significant stress drop variations in large micro-earthquake datasets:a comparison between a convergent step-over in the San andreas fault and the Ventura thrust fault system, southern California[J]. Pure and Applied Geophysics, 2017, 174(6):2311-2330.
[31] Aki K. Asperities, barriers, characteristic earthquakes and strong motion prediction[J]. Journal of Geophysical Research:Solid Earth, 1984, 89(B7):5867-5872.
[32] Brown L, Wang K L, Sun T. Static stress drop in the Mw 9 Tohoku-Oki earthquake:heterogeneous distribution and low average value[J]. Geophysical Research Letters, 2015, 42(24):10595-10600.
[33] Madariaga R. On the relation between seismic moment and stress drop in the presence of stress and strength heterogeneity[J]. Journal of Geophysical Research:Solid Earth, 1979, 84(B5):2243-2250.
[34] Zielke O, Galis M, Mai P M. Fault roughness and strength heterogeneity control earthquake size and stress drop[J]. Geophysical Research Letters, 2017, 44(2):777-783.
[35] Das S, Henry C. Spatial relation between main earthquake slip and its aftershock distribution[J]. Reviews of Geophysics, 2003, 41(3):1013.
[36] Console R, Catalli F. A rate-state model for aftershocks triggered by dislocation on a rectangular fault:a review and new insights[J]. Annals of Geophysics, 2006, 49(6):1259-1273.
[37] 张贝, 程惠红, 石耀霖. 2015年4月25日尼泊尔MS8.1大地震的同震效应[J]. 地球物理学报, 2015, 58(5):1794-1803.
[38] 单斌, 郑勇, 刘成利, 等. 2017年M7.0级九寨沟地震同震库仑应力变化及其与2008年汶川地震的关系[J]. 中国科学:地球科学, 2017, 47(11):1329-1338.
[39] Madariaga R. Implications of stress-drop models of earthquakes for the inversion of stress drop from seismic observations[J]. Pure and Applied Geophysics, 1977, 115(1/2):301-316.
[40] Okada Y. Internal deformation due to shear and tensile faults in a half-space[J]. Bulletin of the Seismological Society of America, 1992, 82(2):1018-1040.
[41] Shan B, Zheng Y, Liu C L, et al. Coseismic coulomb failure stress changes caused by the 2017M7.0 Jiuzhaigou earthquake, and its relationship with the 2008 Wenchuan earthquake[J]. Science China (Earth Science), 2017, 60(12):2181-2189.
[42] 徐晶, 邵志刚, 张浪平, 等. 断层面上库仑破裂应力变化的相关研究进展[J]. 地球物理学进展, 2013, 28(1):132-145.
[43] 刘强, 倪四道, 秦嘉政, 等. 2007年宁洱6.4级地震强余震库仑破裂应力触发研究[J]. 地震研究, 2007, 30(4):331-336,413.
[44] Ji C, Choi K, King N, et al. Co-seismic slip history and early afterslip of the 2004 Parkfield earthquake[J]. AGU Fall Meeting Abstracts, 2004, 1:04.
[45] Ji C, Larson K M, Tan Y, et al. Slip history of the 2003 San Simeon earthquake constrained by combining 1-Hz GPS, strong motion, and teleseismic data[J]. Geophysical Research Letters, 2004, 31(17):L17608.
[46] Ammon C J, Ji C, Thio H-K, et al. Rupture process of the 2004 Sumatra-andaman earthquake[J]. Science, 2005, 308(5725):1133-1139.
[47] Wang G Q, Boore D M, Tang G, et al. Comparisons of ground motions from colocated and closely spaced one-sample-per-second global positioning system and accelerograph recordings of the 2003M 6.5 San Simeon, California, earthquake in the Parkfield region[J]. Bulletin of the Seismological Society of America, 2007, 97(1B):76-90.
[48] 王卫民, 郝金来, 姚振兴. 2013年4月20日四川芦山地震震源破裂过程反演初步结果[J]. 地球物理学报, 2013, 56(4):1412-1417.
[49] Chousianitis K, Konca A O, Tselentis G A, et al. Slip model of the 17 November 2015Mw=6.5 Lefkada earthquake from the joint inversion of geodetic and seismic data[J]. Geophysical Research Letters, 2016, 43(15):7973-7981.
[50] 彭小波, 李小军, 刘启方. 基于强震记录估算同震位移的研究进展及方法[J]. 世界地震工程, 2011, 27(3):73-80.
[51] 金明培, 汪荣江. 用近场强震动记录快速估计同震位移并反演震源滑动分布[J]. 地球物理学报, 2013, 56(4):1207-1215.
[52] 邵志刚, 周朝晖, 徐晶, 等. 汶川MS8.0地震强震动基线改正及其在位错反演中的初步应用[J]. 地球科学, 2014, 39(12):1903-1914.
[53] 张勇, 冯万鹏, 许力生, 等. 2008年汶川大地震的时空破裂过程[J]. 中国科学(D辑:地球科学), 2008, 38(10):1186-1194.
[54] 刘刚, 王琪, 乔学军, 等. 用连续GPS与远震体波联合反演2015年尼泊尔中部MS8.1地震破裂过程[J]. 地球物理学报, 2015, 58(11):4287-4297.
[55] 刘琦, 闻学泽, 邵志刚. 基于GPS、水准和强震动观测资料联合反演2013年芦山7.0级地震同震滑动分布[J]. 地球物理学报, 2016, 59(6):2113-2125.
[56] 张勇, 许力生, 陈运泰. 2015年尼泊尔Mw7.9地震破裂过程:快速反演与初步联合反演[J]. 地球物理学报, 2015, 58(5):1804-1811.
[57] Wang R J, Martín F L, Roth F. Computation of deformation induced by earthquakes in a multi-layered elastic crust-FORTRAN programs EDGRN/EDCMP[J]. Computers & Geosciences, 2003, 29(2):195-207.
[58] Sato R. Stress drop for a finite fault[J]. Journal of Physics of the Earth, 1972, 20(4):397-407.
[59] Bakun W H, Aagaard B, Dost B, et al. Implications for prediction and hazard assessment from the 2004 Parkfield earthquake[J]. Nature, 2005, 437(7061):969-974.
[60] Liu P C, Custodio S, Archuleta R J. Kinematic inversion of the 2004M 6.0 Parkfield earthquake including an approximation to site effects[J]. Bulletin of the Seismological Society of America, 2006, 96(4):143-158.
[61] Allmann B P, Shearer P M. A high-frequency secondary event during the 2004 Parkfield earthquake[J]. Science, 2007, 318(5854):1279-1283.
[62] Kim A, Dreger D S, Taira T, et al. Changes in repeating earthquake slip behavior following the 2004 Parkfield main shock from waveform empirical green's functions finite-source inversion[J]. Journal of Geophysical Research:Solid Earth, 2016, 121(3):1910-1926.
[63] Kim A, Dreger D S. Rupture process of the 2004 Parkfield earthquake from near-fault seismic waveform and geodetic records[J]. Journal of Geophysical Research, 2008, 113(B7):B07308.
[64] Ma S, Custódio S, Archuleta R J, et al. Dynamic modeling of the 2004Mw6.0 Parkfield, California, earthquake[J]. Journal of Geophysical Research, 2008, 113(B2):B02301.
[65] Reuter H I, Nelson A, Jarvis A. An evaluation of void-filling interpolation methods for SRTM data[J]. International Journal of Geographical Information Science, 2007, 21(9):983-1008.
[66] Thurber C, Zhang H J, Waldhauser F, et al. Three-dimensional compressional wavespeed model, earthquake relocations, and focal mechanisms for the Parkfield, California, region[J]. Bulletin of the Seismological Society of America, 2006, 96(4B):S38-S49.
[67] Ripperger J, Mai P M. Fast computation of static stress changes on 2D faults from final slip distributions[J]. Geophysical Research Letters, 2004, 31(18):L18610.
[68] Shipton Z K, Soden A M, Kirkpatrick J D, et al. How thick is a fault? Fault displacement-thickness scaling revisited[J]. Earthquakes:Radiated Energy and the Physics of Faulting, 2006:193-198.
[69] Freed A M. Afterslip (and only afterslip) following the 2004 Parkfield, California, earthquake[J]. Geophysical Research Letters, 2007, 34(6):L06312.
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