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Influence of self-similar stresses on scenario earthquake construction: An example along the Tanlu Fault

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Abstract

As a famous deep and large fault in eastern China, the Tanlu Fault passes through Anhui, Jiangsu, and Shandong and into northeastern China. It is important to improve the understanding of seismic hazard assessments in areas near faults. We start a scenario earthquake simulation in the M7.5 earthquake potential area of the **nyi-Sihong segment of the Tanlu Fault. The fault rupture length and width are constrained according to the scaling law of large intraplate earthquakes, the background normal stress is depth dependent, and the initial shear stresses are determined using trial and error by matching the earthquake magnitude. Considering the 120 km rupture length of the M7.5 earthquake, we compare the horizontal uniform stress model and self-similar stress perturbation model. Our findings reveal that the seismic source time function of the horizontal uniform stress model is similar to that of the Haskell model and that of the self-similar stress perturbation model is more similar to that of a real earthquake case. We compare the dynamic rupture simulation and ground motion results under four different stress conditions and find that the shorter the characteristic length of the self-similar function is, the rougher the initial stress. For the M7.5 earthquake with an epicenter in the vicinity of Suqian, the **nyi-Tancheng segment, which is located in the IX-intensity zone north of the epicenter, vibrates more strongly on the northern side than on the southern side due to the influence of the low-velocity zone and the peak slip rate. The response spectra analysis at stations in the study area is useful for improving the earthquake resistance capability.

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References

  • Andrews D J. 1976. Rupture velocity of plane strain shear cracks. J Geophys Res, 81: 5679–5687

    Article  Google Scholar 

  • Andrews D J, Barall M. 2011. Specifying initial stress for dynamic heterogeneous earthquake source models. Bull Seismol Soc Am, 101: 2408–2417

    Article  Google Scholar 

  • Atkinson G M, Kaka S I. 2007. Relationships between felt intensity and instrumental ground motion in the Central United States and California. Bull Seismol Soc Am, 97: 497–510

    Article  Google Scholar 

  • Beresnev I A. 2022. Spatial heterogeneity of fault slip and the radiated spectra of ground motions. Bull Seismol Soc Am, 112: 1463–1471

    Article  Google Scholar 

  • Bizzarri A, Das S. 2012. Mechanics of 3-D shear cracks between Rayleigh and shear wave rupture speeds. Earth Planet Sci Lett, 357–358: 397–404

    Article  Google Scholar 

  • Boore D M. 2003. Simulation of ground motion using the stochastic method. Pure Appl Geophys, 160: 635–676

    Article  Google Scholar 

  • Bouchon M. 1997. The state of stress on some faults of the San Andreas system as inferred from near-field strong motion data. J Geophys Res, 102: 11731–11744

    Article  Google Scholar 

  • Brocher T M. 2005. Empirical relations between elastic wavespeeds and density in the Earth’s crust. Bull Seismol Soc Am, 95: 2081–2092

    Article  Google Scholar 

  • Bruhat L, Fang Z, Dunham E M. 2016. Rupture complexity and the supershear transition on rough faults. J Geophys Res-Solid Earth, 121: 210–224

    Article  Google Scholar 

  • Candela T, Renard F, Klinger Y, Mair K, Schmittbuhl J, Brodsky E E. 2012. Roughness of fault surfaces over nine decades of length scales. J Geophys Res, 117: B08409

    Article  Google Scholar 

  • Chen L, Zheng T, Xu W. 2006. A thinned lithospheric image of the Tanlu Fault Zone, eastern China: Constructed from wave equation based receiver function migration. J Geophys Res, 111: B09312

    Article  Google Scholar 

  • Chen Q F, Ma L, Chen J M, Li Z X. 1994. Algorithms for self-affine fractals and application in time series of geophysical and geochemical data (in Chinese). Earthq Res China, 10: 47–53

    Google Scholar 

  • Chen S Z, Mei J F, Zhao Y Y. 1983. Model experiments by holographic interferometry on the stress field of middle and southern segments of the Tancheng-Lujiang fault (in Chinese). Acta Seismol Sin, 5: 107–115

    Google Scholar 

  • Chen Y, Wu R S, Chen L, Liu Z J. 1997. A new method for fractalization of seismic clusters-physical fractalization (in Chinese). Earthq Res China, 13: 106–113

    Google Scholar 

  • Deng Q D, Wu D N, Zhang P Z, Chen S F. 1986. Structure and deformational character of strike-slip fault zones. Pure Appl Geophys, 124: 203–223

    Article  Google Scholar 

  • Denolle M A, Boué P, Hirata N, Beroza G C. 2018. Strong shaking predicted in Tokyo from an expected M7+ Itoigawa-Shizuoka earthquake. J Geophys Res-Solid Earth, 123: 3968–3992

    Article  Google Scholar 

  • Douilly R, Oglesby D D, Cooke M L, Hatch J L. 2020. Dynamic models of earthquake rupture along branch faults of the eastern San Gorgonio Pass region in California using complex fault structure. Geosphere, 16: 474–489

    Article  Google Scholar 

  • Fan Y, Chen X B, Tang J, Cui T F, Sun X Y, Wang P J, Liu Z Y. 2022. Three-dimensional modelling of magnetotelluric data from the Hefei-Suqian segment of the Tanlu Fault Zone, Eastern China (in Chinese). Chin J Geophys, 65: 1336–1353

    Google Scholar 

  • Feng C J, Zhang P, Qi B S, Meng J, Tan C X, Hu D G. 2017. Recent tectonic stress field at the shallow Earth’s crust near the Tan-Lu Fault Zone (in Chinese). Geoscience, 31: 46–70

    Google Scholar 

  • Field E H, Arrowsmith R J, Biasi G P, Bird P, Dawson T E, Felzer K R, Jackson D D, Johnson K M, Jordan T H, Madden C, Michael A J, Milner K R, Page M T, Parsons T, Powers P M, Shaw B E, Thatcher W R, Weldon R J, Zeng Y. 2014. Uniform California earthquake rupture forecast, version 3 (UCERF3)—The time-independent model. Bull Seismol Soc Am, 104: 1122–1180

    Article  Google Scholar 

  • Gao W M, Zheng L S, Li J L, Lin T X. 1988. Tectonics of the 1668 Tancheng 8.5 magnitude earthquake (in Chinese). Earthq Res China, 4: 9–15

    Google Scholar 

  • Gao W M, Zheng L S. 1991. Segmentation of active faults in the Tanlu Fault Zone and delineation of potential source areas (in Chinese). Earthq Res China, 7: 87–91

    Google Scholar 

  • Graves R W, Aagaard B T, Hudnut K W. 2011a. The ShakeOut earthquake source and ground motion simulations. Earthq Spectra, 27: 273–291

    Article  Google Scholar 

  • Graves R, Jordan T H, Callaghan S, Deelman E, Field E, Juve G, Kesselman C, Maechling P, Mehta G, Milner K, Okaya D, Small P, Vahi K. 2011b. CyberShake: A physics-based seismic hazard model for southern California. Pure Appl Geophys, 168: 367–381

    Article  Google Scholar 

  • Gu C, Prieto G A, Al-Enezi A, Al-Jeri F, Al-Qazweeni J, Kamal H, Kuleli S, Mordret A, Büyüköztürk O, Toksöz M N. 2018. Ground motion in Kuwait from regional and local earthquakes: Potential effects on tall buildings. Pure Appl Geophys, 175: 4183–4195

    Article  Google Scholar 

  • Hartzell S H, Heaton T H. 1983. Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake. Bull Seismol Soc Am, 73: 1553–1583

    Article  Google Scholar 

  • Hu F, Oglesby D D, Chen X. 2019. The sustainability of free-surface-induced supershear rupture on strike-slip faults. Geophys Res Lett, 46: 9537–9543

    Article  Google Scholar 

  • Hu F, Oglesby D D, Wu B, Chen X. 2021. Supershear rupture, daughter cracks, and the definition of rupture velocity. Geophys Res Lett, 48: e2021GL092832

    Article  Google Scholar 

  • Huang Y, Li Q H, Zhang Y S, Sun Y J, Bi X M, ** S M, Wang J. 2011. Crustal velocity structure beneath the Shandong-Jiangsu-Anhui segment of the Tancheng-Lujiang Fault Zone and adjacent areas (in Chinese). Chin J Geophys, 54: 2549–2559

    Google Scholar 

  • Ide S. 2007. Dynamic rupture propagation on a 2D fault with fractal frictional properties. Earth Planet Sp, 59: 1099–1109

    Article  Google Scholar 

  • Ide S, Takeo M. 1997. Determination of constitutive relations of fault slip based on seismic wave analysis. J Geophys Res, 102: 27379–27391

    Article  Google Scholar 

  • Jones L M, Bernknopf R, Cox D, Goltz J, Hudnut K, Mileti D, Perry S, Ponti D, Porter K, Reichle M, Seligson H, Shoaf K, Treiman J, Wein A. 2008. The ShakeOut scenario report 2008-1150. Open-File Report

  • Kaneko Y, Lapusta N. 2010. Supershear transition due to a free surface in 3-D simulations of spontaneous dynamic rupture on vertical strike-slip faults. Tectonophysics, 493: 272–284

    Article  Google Scholar 

  • Lei J S, Zhao D P, Su J R, Zhang G W, Li F. 2009. Fine seismic structure under the Longmenshan fault zone and the mechanism of the large Wenchuan earthquake (in Chinese). Chin J Geophys, 52: 339–345

    Google Scholar 

  • Lei J S, Zhao D P, Xu X W, Du M F, Zhang G W, Sun C Q, Mi Q, Lu M W, Yang Y, He J, Zhang B, Tian F F. 2018. Deep structure of the Longmenshan fault zone and mechanism of the 2008 Wenchuan earthquake. Chin Sci Bull, 63: 1906–1916

    Article  Google Scholar 

  • Li F Q, Sun S Z, Li L Q. 1982. Geostress measurements in the North China and Tanlu Fracture Zone (in Chinese). Chin J Rock Mech Eng, 1: 73–86

    CAS  Google Scholar 

  • Li K Y, Wang C H, **ng B R, Li F. 2014. Review of regional stress state of Tanlu Fault Belt (in Chinese). J Geodesy Geodyn, 34: 1–8

    Google Scholar 

  • Liu D, Duan B. 2018. Scenario earthquake and ground-motion simulations in North China: Effects of heterogeneous fault stress and 3D basin structure. Bull Seismol Soc Am, 108: 2148–2169

    Article  Google Scholar 

  • Liu Y, Yu Z, Zhang Z, Yao H, Wang W, Zhang H, Fang H, Fang L. 2023. The high-resolution community velocity model V2.0 of southwest China, constructed by joint body and surface wave tomography of data recorded at temporary dense arrays. Sci China Earth Sci, 66: 2368–2385

    Article  Google Scholar 

  • Luo S, Yao H, Zhang Z, Bem T S. 2022. High-resolution crustal and upper mantle shear-wave velocity structure beneath the central-southern Tanlu fault: Implications for its initiation and evolution. Earth Planet Sci Lett, 595: 117763

    Article  CAS  Google Scholar 

  • Mai P M, Beroza G C. 2002. A spatial random field model to characterize complexity in earthquake slip. J Geophys Res-Solid Earth, 107: 2308

    Article  Google Scholar 

  • Mai P M, Thingbaijam K K S. 2014. SRCMOD: An online database of finite-fault rupture models. Seismol Res Lett, 85: 1348–1357

    Article  Google Scholar 

  • Manighetti I, Campillo M, Sammis C, Mai P M, King G. 2005. Evidence for self-similar, triangular slip distributions on earthquakes: Implications for earthquake and fault mechanic. J Geophys Res-Solid Earth, 110: B05302

    Article  Google Scholar 

  • Miyatake T. 1992. Dynamic rupture processes of inland earthquakes in Japan weak and strong asperities. Geophys Res Lett, 19: 1041–1044

    Article  Google Scholar 

  • Mourhatch R, Krishnan S. 2018. Probabilistic estimates of ground motion in the Los Angeles Basin from scenario earthquakes on the San Andreas Fault. Geosciences, 8: 126

    Article  Google Scholar 

  • Murotani S, Matsushima S, Azuma T, Irikura K, Kitagawa S. 2015. Scaling relations of source parameters of earthquakes occurring on inland crustal mega-fault systems. Pure Appl Geophys, 172: 1371–1381

    Article  Google Scholar 

  • Nielsen S B, Carlson J M. 2000. Rupture pulse characterization: Self-healing, self-similar, expanding solutions in a continuum model of fault dynamics. Bull Seismol Soc Am, 90: 1480–1497

    Article  Google Scholar 

  • Oglesby D D, Day S M. 2002. Stochastic fault stress: Implications for fault dynamics and ground motion. Bull Seismol Soc Am, 92: 3006–3021

    Article  Google Scholar 

  • Olsen K B, Day S M, Dalguer L A, Mayhew J, Cui Y, Zhu J, Cruz-Atienza V M, Roten D, Maechling P, Jordan T H, Okaya D, Chourasia A. 2009. ShakeOut-D: Ground motion estimates using an ensemble of large earthquakes on the southern San Andreas fault with spontaneous rupture propagation. Geophys Res Lett, 36: L04303

    Article  Google Scholar 

  • Olsen K B, Day S M, Minster J B, Cui Y, Chourasia A, Faerman M, Moore R, Maechling P, Jordan T H. 2006. Strong shaking in Los Angeles expected from southern San Andreas earthquake. Geophys Res Lett, 33: L07305

    Article  Google Scholar 

  • Olsen K B, Day S M, Minster J B, Cui Y, Chourasia A, Okaya D, Maechling P, Jordan T H. 2008. TeraShake2: Spontaneous rupture simulations of Mw 7.7 earthquakes on the southern San Andreas Fault. Bull Seismol Soc Am, 98: 1162–1185

    Article  Google Scholar 

  • Power W L, Tullis T E. 1991. Euclidean and fractal models for the description of rock surface roughness. J Geophys Res, 96: 415–424

    Article  Google Scholar 

  • Ripperger J, Ampuero J P, Mai P M, Giardini D. 2007. Earthquake source characteristics from dynamic rupture with constrained stochastic fault stress. J Geophys Res, 112: B04311

    Article  Google Scholar 

  • Rodgers A J, Anders Petersson N, Pitarka A, McCallen D B, Sjogreen B, Abrahamson N. 2019. Broadband (0–5 Hz) fully deterministic 3D ground-motion simulations of a magnitude 7.0 Hayward Fault earthquake: comparison with empirical ground-motion models and 3D path and site effects from source normalized intensities. Seismol Res Lett, 90: 1268–1284

    Article  Google Scholar 

  • Somerville P, Irikura K, Graves R, Sawada S, Wald D, Abrahamson N, Iwasaki Y, Kagawa T, Smith N, Kowada A. 1999. Characterizing crustal earthquake slip models for the prediction of strong ground motion. Seismol Res Lett, 70: 59–80

    Article  Google Scholar 

  • Tao X X, Tao Z R, Shi L J. 2014. Scenario earthquake-link of probabilistic seismic hazard assessment and deterministic seismic hazard assessment (in Chinese). Earthq Eng Eng Vib, 34: 101–109

    Google Scholar 

  • Wald D J, Heaton T H. 1994. Spatial and temporal distribution of slip for the 1992 Landers, California, earthquake. Bull Seismol Soc Am, 84: 668–691

    Article  Google Scholar 

  • Wang X, Zhang J F, Fu P J, Gao M. 2015. Deep structures of Yishu Fault Zone derived from gravity data (in Chinese). Seismol Geol, 37: 731–747

    CAS  Google Scholar 

  • Wells D L, Coppersmith K J. 1994. New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement. Bull Seismol Soc Am, 84: 974–1002

    Article  Google Scholar 

  • **e C L, Zhu G, Niu M L, Liu X M. 2008. Geochemistry of Late Mesozoic volcanic rocks from the Chaohu-Lujiang segment of the Tan-Lu Fault Zone and lithospheric thinning processes (in Chinese). Acta Petrol Sin, 24: 1823–1838

    CAS  Google Scholar 

  • **n D, Zhang Z. 2021. On the comparison of seismic ground motion simulated by physics-based dynamic rupture and predicted by empirical attenuation equations. Bull Seismol Soc Am, 111: 2595–2616

    Article  Google Scholar 

  • **n H W. 1993. Fractal Theory and Its Applications (in Chinese). Hefei: University of Science and Technology of China Press

    Google Scholar 

  • Yin J, Li Z, Denolle M A. 2021. Source time function clustering reveals patterns in earthquake dynamics. Seismol Res Lett, 92: 2343–2353

    Article  Google Scholar 

  • Zeng Y, Anderson J G, Yu G. 1994. A composite source model for computing realistic synthetic strong ground motions. Geophys Res Lett, 21: 725–728

    Article  Google Scholar 

  • Zhang H M, Chen X F. 2006. Dynamic rupture on a planar fault in three-dimensional half-space—II. Validations and numerical experiments. Geophys J Int, 167: 917–932

    Article  Google Scholar 

  • Zhang W, Chen X. 2006. Traction image method for irregular free surface boundaries in finite difference seismic wave simulation. Geophys J Int, 167: 337–353

    Article  Google Scholar 

  • Zhang Y, Feng W, Chen Y, Xu L, Li Z, Forrest D. 2012. The 2009 L’Aquila MW 6.3 earthquake: A new technique to locate the hypocentre in the joint inversion of earthquake rupture process. Geophys J Int, 191: 1417–1426

    Google Scholar 

  • Zhang Z, Zhang W, Chen X, Li P, Fu C. 2017. Rupture dynamics and ground motion from potential earthquakes around Taiyuan, China. Bull Seismol Soc Am, 107: 1201–1212

    Article  Google Scholar 

  • Zhang Z, Zhang W, Chen X. 2014. Three-dimensional curved grid finite-difference modelling for non-planar rupture dynamics. Geophys J Int, 199: 860–879

    Article  Google Scholar 

  • Zhu G, Wang D X, Liu G S, Niu M L, Song C Z. 2004. Evolution of the Tan-Lu Fault Zone and its responses to plate movements in West Pacific Basin (in Chinese). Chin J Geol, 39: 36–49

    CAS  Google Scholar 

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Acknowledgements

We thank the three anonymous reviewers and the responsible editor for their constructive revisions of the article. The numerical calculations were done on the Hefei Advanced Computing Center. The GMT plotting software and MATLAB were used for the images in the text. This work was supported by the National Natural Science Foundation of China (Grant Nos. 42125401, 42074049), the Anhui Provincial Key Research and Development Program (Grant No. 202104a07020016), the University of Science and Technology of China (USTC) Research Funds of the Double First-Class Initiative (Grant No. YD2080000059), the Youth Innovation Promotion Association of the Chinese Academy of Sciences (Grant No. 2023471), and the Joint Open Fund of Mengcheng National Geophysical Observatory (Grant No. MENGO-202101).

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Hu, F., Yao, H., Yu, H. et al. Influence of self-similar stresses on scenario earthquake construction: An example along the Tanlu Fault. Sci. China Earth Sci. 67, 1687–1697 (2024). https://doi.org/10.1007/s11430-023-1239-8

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