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A non-stationary random field model for earthquake slip

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Abstract

The present work aims at building a non-stationary random field model for the slip distribution on the rupture plane. The estimates are arrived based on 230 slip fields available in the SRCMOD database. The evaluation is performed by segregating and quantifying the trend and fluctuation components of the field. Here, the trend portion of the slip is extracted by fitting a 2D elliptical Gaussian surface. The remaining fluctuation part is observed to be stationary following a normal distribution. Further, we propose scaling relations as a function of magnitude for all the unknowns in trend and fluctuation part of the field. Furthermore, an additive model to generate a slip field for a given magnitude combining the deterministic trend part and randomly generated fluctuation part is also developed in the study. Ground motion simulations performed with the components of the slip field showed that the trend portion controls the low frequency, and the fluctuation portion influences the high-frequency characteristics of ground motion. The model developed from the study can be used to generate an ensemble of slip fields for ground motion simulations.

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References

  • Akaike H (1973) Information theory and the maximum likelihood principle. in 2nd international symposium on information theory (bn petrov and f. cs ä ki eds.) Akademiai Ki à do, Budapest. Google Scholar

  • Aki K, Richards PG (1980) Quantative seismology: theory and methods. New York, pp 801

  • Baglione E (2016) Characterization of the co-seismic slip field for large earthquakes. [Online; https://core.ac.uk/download/pdf/78374062.pdf, accessed 20-February-2019]

  • Bendat JS, Piersol AG (2011) Random data: analysis and measurement procedures, vol 729. Wiley, New York

    Google Scholar 

  • Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75(26):4997– 5009

    Article  Google Scholar 

  • Dhanya J, Raghukanth STG (2019) A non-gaussian random field model for earthquake slip (under review). Journal of Seismology

  • Dreger DS, Huang M-H, Rodgers A, Taira T, Wooddell K (2015) Kinematic finite-source model for the 24 August 2014 South Napa, California, earthquake from joint inversion of seismic, GPS, and InSAR data. Seismol Res Lett 86(2A):327–334

    Google Scholar 

  • Goda K, Yasuda T, Mori N, Maruyama T (2016) New scaling relationships of earthquake source parameters for stochastic tsunami simulation. Coast Eng J 58(3):1650010–1

    Article  Google Scholar 

  • Haskell NA (1969) Elastic displacements in the near-field of a propagating fault. Bull Seismol Soc Am 59(2):865– 908

    Google Scholar 

  • Komatitsch D, Tromp J (1999) Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophys J Int 139(3):806–822

    Article  Google Scholar 

  • Lavallée D, Liu P, Archuleta RJ (2006) Stochastic model of heterogeneity in earthquake slip spatial distributions. Geophys J Int 165(2):622–640

    Article  Google Scholar 

  • Mai PM, Beroza GC (2002) A spatial random field model to characterize complexity in earthquake slip. J Geophys Res Solid Earth 107(B11):ESE–10

    Article  Google Scholar 

  • Mai PM, Thingbaijam K (2014) SRCOMD: an online database of finite-fault rupture models. Seismol Res Lett 85(6):1348–1357

    Article  Google Scholar 

  • Mai PM, Spudich P, Boatwright J (2005) Hypocenter locations in finite-source rupture models. Bull Seismol Soc Am 95(3):965–980

    Article  Google Scholar 

  • Massey Jr, FJ (1951) The Kolmogorov-Smirnov test for goodness of fit. J Amer Stat Assoc 46 (253):68–78

    Article  Google Scholar 

  • Raghukanth STG (2010) Intrinsic mode functions of earthquake slip distribution. Adv Adapt Data Anal 2(02):193–215

    Article  Google Scholar 

  • Raghukanth STG, Sangeetha S (2016) A stochastic model for earthquake slip distribution of large events. Geom Nat Hazards Risk 7(2):493–521

    Article  Google Scholar 

  • Sepúlveda I, Liu PL-F, Grigoriu M, Pritchard M (2017) Tsunami hazard assessments with consideration of uncertain earthquake slip distribution and location. J Geophys Res Solid Earth 122 (9):7252–7271

    Article  Google Scholar 

  • Shinozuka M, Deodatis G (1996) Simulation of multi-dimensional Gaussian stochastic fields by spectral representation. Appl Mech Rev 49(1):29–53

    Article  Google Scholar 

  • Silva F, Goulet CA, Maechling PJ, Callaghan S, Jordan TH (2016) The SCEC broadband platform: open-source software for strong ground motion simulation and validation. In: AGU Fall Meeting Abstracts

  • 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(1):59–80

    Article  Google Scholar 

  • Vallée M, Bouchon M (2004) Imaging coseismic rupture in far field by slip patches. Geophys J Int 156(3):615–630

    Article  Google Scholar 

  • Webster R, Oliver MA (2007) Geostatistics for environmental scientists. Wiley, New York

    Book  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology Madras, Tamil Nadu, India

    J. Dhanya & S. T. G. Raghukanth

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  1. J. Dhanya
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  2. S. T. G. Raghukanth
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Correspondence to J. Dhanya.

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Dhanya, J., Raghukanth, S.T.G. A non-stationary random field model for earthquake slip. J Seismol 24, 423–441 (2020). https://doi.org/10.1007/s10950-019-09899-y

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