Abstract
Earthquake diffusion and the migration behaviour of seismic clusters are commonly studied to provide insight on the spatiotemporal evolution of seismicity and the interplaying driving mechanisms. Using a high-resolution relocated catalogue, we study the variations of the earthquake diffusion rates in the Western Gulf of Corinth during 2013–2014, a period with abundant local seismicity, including intense microseismic background, seismic swarms and mainshock-aftershock sequences. We treat earthquake occurrence as a point process in time and space and estimate the diffusion rates of the main seismic sequences and the background seismicity in terms of normalized spatial histograms and the evolutions of the mean squared distance of seismicity with time. The statistical analysis of the studied seismic sequences reveals that the mean squared distance of the hypocentres increases slowly with time, at a much lower rate than for a normal diffusion process. Such findings confirm previous results on weak earthquake diffusion, analogous to subdiffusion, in regional and clustered seismicity. In addition, seismic swarms associated with pore fluid pressure diffusion present considerably higher diffusion exponents compared to mainshock-aftershock-type sequences that are consistent with primary or secondary stress triggering effects and stress corrosion. The observed variations of the earthquake diffusion rates indicate the stochastic nature of the phenomenon and may provide novel constraints on the triggering mechanisms of clustered seismic activity in the Western Gulf of Corinth and in other seismically active regions.
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Data availability
The relocated earthquake catalogue dataset used in this study is available in Mendeley Data at http://dx.doi.org/10.17632/d6txydfpty.1.
Code availability
All codes used for the relocation scheme are freely available from the online sources cited in the text.
References
Berkowitz, B., Cortis, A., Dentz, M., & Scher, H. (2006). Modeling non-Fickian transport in geological formations as a continuous time random walk. Reviews of Geophysics, 44, RG2003. https://doi.org/10.1029/2005RG000178
Bernard, P., Lyon-Caen, H., Briole, P., Deschamps, A., Boudin, F., Makropoulos, K., Papadimitriou, P., Lemeille, F., Patau, G., Billiris, H., Paradissis, D., Papazissi, K., Castarède, H., Charade, O., Nercessian, A., Avallone, A., Pacchiani, F., Zahradnik, J., Sacks, S., & Linde, A. (2006). Seismicity, deformation and seismic hazard in the western rift of Corinth: New insights from the Corinth Rift Laboratory (CRL). Tectonophysics, 426, 7–30. https://doi.org/10.1016/j.tecto.2006.02.012
Bourouis, S., & Bernard, P. (2007). Evidence for coupled seismic and aseismic fault slip during water injection in the geothermal site of Soultz (France), and implications for seismogenic transients. Geophysical Journal International, 169(2), 723–732. https://doi.org/10.1111/j.1365-246X.2006.03325.x
Bourouis, S., & Cornet, F. H. (2009). Microseismic activity and fluid fault interactions: some results from the Corinth Rift Laboratory (CRL), Greece. Geophysical Journal International, 178, 561–580. https://doi.org/10.1111/j.1365-246X.2009.04148.x
Chen, X., Shearer, P. M., & Abercrombie, R. E. (2012). Spatial migration of earthquakes within seismic clusters in Southern California: Evidence for fluid diffusion. Journal of Geophysical Research: Solid Earth, 117, B04301. https://doi.org/10.1029/2011JB008973
Corral, A. (2004). Long-term clustering, scaling, and universality in the temporal occurrence of earthquakes. Physical Review Letters, 92(10), 108501. https://doi.org/10.1103/PhysRevLett.92.108501
Das, S., & Scholz, C. H. (1981). Theory of time-dependent rupture in the Earth. Journal of Geophysical Research, 86, 6039–6051.
De Barros, L., Cappa, F., Deschamps, A., & Dublanchet, P. (2020). Imbricated aseismic slip and fluid diffusion drive a seismic swarm in the Corinth Gulf. Greece. Geophysical Research Letters, 47, e2020GL087142. https://doi.org/10.1029/2020GL087142
Dieterich, J. (1994). A constitutive law for rate of earthquake production and its application to earthquake clustering. Journal of Geophysical Research, 99, 2601–2618.
Dublanchet, P., Godano, M., & Bernard, P. (2015). Inferring fault mechanical conditions from the source parameters of a complex microseismic multiplet in the Corinth rift, Greece. Journal of Geophysical Research: Solid Earth, 120(11), 7655–7682. https://doi.org/10.1002/2015JB012259
Duverger, C., Godano, M., Bernard, P., Lyon-Caen, H., & Lambotte, S. (2015). The 2003–2004 seismic swarm in the western Corinth rift: Evidence for a multiscale pore pressure diffusion process along a permeable fault system. Geophysical Research Letters, 42(18), 7374–7382. https://doi.org/10.1002/2015GL065298
Duverger, C., Lambotte, S., Bernard, P., Lyon-Caen, H., Deschamps, A., & Nercessian, A. (2018). Dynamics of microseismicity and its relationship with the active structures in the western Corinth Rift (Greece). Geophysical Journal International, 215(1), 196–221. https://doi.org/10.1093/gji/ggy264
Evangelidis, C. P., Triantafyllis, N., Samios, M., Boukouras, K., Kontakos, K., Ktenidou, O.-J., Fountoulakis, I., Kalogeras, I., Melis, N. S., Galanis, O., Papazachos, C. B., Hatzidimitriou, P., Scordilis, E., Sokos, E., Paraskevopoulos, P., Serpetsidaki, A., Kaviris, G., Kapetanidis, V., Papadimitriou, P., … Kassaras, I. (2021). Seismic waveform data from Greece and Cyprus: Integration, archival, and open access. Seismological Research Letters, 92, 1672–1684. https://doi.org/10.1785/0220200408
Ganas, A., Chousianitis, K., Batsi, E., Kolligri, M., Agalos, A., Chouliaras, G., & Makropoulos, K. (2013). The January 2010 Efpalion earthquakes (Gulf of Corinth, Central Greece): Earthquake interactions and blind normal faulting. Journal of Seismology, 17, 465–484. https://doi.org/10.1007/s10950-012-9331-6
Godano, M., Bernard, P., & Dublanchet, P. (2015). Bayesian inversion of seismic spectral ratio for source scaling: Application to a persistent multiplet in the western Corinth rift. Journal of Geophysical Research: Solid Earth, 120(11), 7683–7712. https://doi.org/10.1002/2015JB012217
Guglielmi, Y., Cappa, F., Avouac, J. P., Henry, P., & Elsworth, D. (2015). Seismicity triggered by fluid injection–induced aseismic slip. Science, 348(6240), 1224–1226. https://doi.org/10.1126/science.aab0476
Helmstetter, A., & Sornette, D. (2002). Diffusion of epicenters of earthquake aftershocks, Omori’s law, and generalized continuous-time random walk models. Physical Review E, 66(6), 061104. https://doi.org/10.1103/PhysRevE.66.061104
Helmstetter, A., Ouillon, G., & Sornette, D. (2003). Are aftershocks of large California earthquakes diffusing? Journal of Geophysical Research: Solid Earth, 108, 2483. https://doi.org/10.1029/2003JB002503
Huc, M., & Main, I. G. (2003). Anomalous stress diffusion in earthquake triggering: Correlation length, time dependence, and directionality. Journal of Geophysical Research: Solid Earth, 108, 2324. https://doi.org/10.1029/2001JB001645
Kapetanidis, V. (2017). Spatiotemporal patterns of microseismicity for the identification of active fault structures using seismic waveform cross-correlation and double-difference relocation. PhD thesis, University of Athens, Greece.
Kapetanidis, V., & Papadimitriou, P. (2011). Estimation of arrival-times in intense seismic sequences using a Master-Events methodology based on waveform similarity. Geophysical Journnal International, 187, 889–917. https://doi.org/10.1111/j.1365-246X.2011.05178.x
Kapetanidis, V., Deschamps, A., Papadimitriou, P., Matrullo, E., Karakonstantis, A., Bozionelos, G., Kaviris, G., Serpetsidaki, A., Lyon-Caen, H., Voulgaris, N., Bernard, P., Sokos, E., & Makropoulos, K. (2015). The 2013 earthquake swarm in Helike, Greece: seismic activity at the root of old normal faults. Geophysical Journal International, 202(3), 2044–2073. https://doi.org/10.1093/gji/ggv249
Kapetanidis, V., Karakonstantis, A., Papadimitriou, P., Pavlou, K., Spingos, I., Kaviris, G., & Voulgaris, N. (2020). The 19 July 2019 earthquake in Athens, Greece: A delayed major aftershock of the 1999 Mw = 6.0 event, or the activation of a different structure? Journal of Geodynamics, 139, 101766. https://doi.org/10.1016/j.jog.2020.101766
Karakostas, V., Karagianni, E., & Paradisopoulou, P. (2012). Space–time analysis, faulting and triggering of the 2010 earthquake doublet in western Corinth Gulf. Natural Hazards, 63, 1181–1202. https://doi.org/10.1007/s11069-012-0219-0
Kaviris, G., Spingos, I., Kapetanidis, V., Papadimitriou, P., Voulgaris, N., & Makropoulos, K. (2017). Upper crust seismic anisotropy study and temporal variations of shear-wave splitting parameters in the Western Gulf of Corinth (Greece) during 2013. Physics of the Earth and Planetary Interiors, 269, 148–164. https://doi.org/10.1016/j.pepi.2017.06.006
Kaviris, G., Millas, C., Spingos, I., Kapetanidis, V., Fountoulakis, I., Papadimitriou, P., Voulgaris, N., & Makropoulos, K. (2018). Observations of shear-wave splitting parameters in the Western Gulf of Corinth focusing on the 2014 Mw = 5.0 earthquake. Physics of the Earth and Planetary Interiors, 282, 60–76. https://doi.org/10.1016/j.pepi.2018.07.005
Kaviris, G., Spingos, I., Karakostas, V., Papadimitriou, E., & Tsapanos, T. (2020). Shear-wave splitting properties of the upper crust in the CO2-rich field of Florina Basin, Greece. Physics of the Earth and Planetary Interiors, 303, 106503. https://doi.org/10.1016/j.pepi.2020.106503
Klein, F. W. (2002). User’s guide to HYPOINVERSE-2000: a Fortran program to solve for earthquake locations and magnitudes. Open File Report 2002–171, 1–123, U.S. Geological Survey. https://doi.org/10.3133/ofr02171
Lohman, R. B., & McGuire, J. J. (2007). Earthquake swarms driven by aseismic creep in the Salton Trough, California. Journal of Geophysical Research: Solid Earth, 112, B04405. https://doi.org/10.1029/2006JB004596
Lyon-Caen, H., Papadimitriou, P., Deschamps, A., Bernard, P., Makropoulos, K., Pacchiani, F., & Patau, G. (2004). First results of the CRLN seismic network in the western Corinth Rift: Evidence for old-fault reactivation. Comptes Rendus Geoscience, 336, 343–351. https://doi.org/10.1016/j.crte.2003.12.004
Marsan, D., & Bean, C. J. (2003). Seismicity response to stress perturbations, analysed for a world-wide catalogue. Geophysical Journal International, 154(1), 179–195. https://doi.org/10.1046/j.1365-246X.2003.01963.x
Marsan, D., & Lengliné, O. (2008). Extending earthquakes' reach through cascading. Science, 319, 1076–1079. https://doi.org/10.1126/science.1148783
Marsan, D., Bean, C. J., Steacy, S., & McCloskey, J. (1999). Spatio-temporal analysis of stress diffusion in a mining-induced seismicity system. Geophysical Research Letters, 26(24), 3697–3700. https://doi.org/10.1029/1999GL010829
Marsan, D., Bean, C. J., Steacy, S., & McCloskey, J. (2000). Observation of diffusion processes in earthquake populations and implications for the predictability of seismicity systems. Journal of Geophysical Research: Solid Earth, 105, 28081–28094. https://doi.org/10.1029/2000JB900232
McKernon, C., & Main, I. G. (2005). Regional variations in the diffusion of triggered seismicity. Journal of Geophysical Research: Solid Earth, 110, B05S05. https://doi.org/10.1029/2004JB003387
Mesimeri, M., Karakostas, V., Papadimitriou, E., Schaff, D., & Tsaklidis, G. (2016). Spatio-temporal properties and evolution of the 2013 Aigion earthquake swarm (Corinth Gulf, Greece). Journal of Seismology, 20, 595–614. https://doi.org/10.1007/s10950-015-9546-4
Mesimeri, M., Karakostas, V., Papadimitriou, E., Tsaklidis, G., & Tsapanos, T. (2017). Detailed microseismicity study in the area of Florina (Greece): evidence for fluid driven seismicity. Tectonophysics, 694, 424–435. https://doi.org/10.1016/j.tecto.2016.11.027
Mesimeri, M., Karakostas, V., Papadimitriou, E., & Tsaklidis, G. (2019). Characteristics of earthquake clusters: Application to western Corinth Gulf (Greece). Tectonophysics, 767, 228160. https://doi.org/10.1016/j.tecto.2019.228160
Metzler, R., & Klafter, J. (2000). The random walk’s guide to anomalous diffusion: A fractional dynamics approach. Physics Reports, 339, 1–77. https://doi.org/10.1016/S0370-1573(00)00070-3
Michas, G. (2016). Generalized statistical mechanics description of fault and earthquake populations in Corinth rift (Greece). PhD thesis, University College London, UK.
Michas, G., & Vallianatos, F. (2018a). Modelling earthquake diffusion as a continuous-time random walk with fractional kinetics: the case of the 2001 Agios Ioannis earthquake swarm (Corinth Rift). Geophysical Journal International, 215, 333–345. https://doi.org/10.1093/gji/ggy282
Michas, G., & Vallianatos, F. (2018b). Stochastic modeling of nonstationary earthquake time series with long-term clustering effects. Physical Review E, 98(4), 042107. https://doi.org/10.1103/PhysRevE.98.042107
Michas, G., & Vallianatos, F. (2020). Scaling properties and anomalous diffusion of the Florina micro-seismic activity: Fluid driven? Geomechanics for Energy and the Environment, 24, 100155. https://doi.org/10.1016/j.gete.2019.100155
Michas, G., & Vallianatos, F. (2021). Scaling properties, multifractality and range of correlations in earthquake timeseries: Are earthquakes random? In N. Limnios, E. Papadimitriou, & G. Tsaklidis (Eds.), Statistical Methods and Modeling of Seismogenesis.London, UK: ISTE John Wiley.
Michas, G., Vallianatos, F., & Sammonds, P. (2013). Non-extensivity and long-range correlations in the earthquake activity at the West Corinth rift (Greece). Nonlinear Processes in Geophysics, 20, 713–724. https://doi.org/10.5194/npg-20-713-2013
Pacchiani, F., & Lyon-Caen, H. (2010). Geometry and spatio-temporal evolution of the 2001 Agios Ioanis earthquake swarm (Corinth Rift, Greece). Geophysical Journal International, 180, 59–72. https://doi.org/10.1111/j.1365-246X.2009.04409.x
Papadimitriou, P., Kassaras, I., Kaviris, G., Tselentis, G., Voulgaris, N., Lekkas, E., Chouliaras, G., Evangelidis, C., Pavlou, K., Kapetanidis, V., Karakonstantis, A., Kazantzidou-Firtinidou, D., Fountoulakis, I., Millas, C., Spingos, I., Aspiotis, T., Moumoulidou, A., Skourtsos, E., Antoniou, V., … Kleanthi, M. (2018). The 12th June 2017 Mw = 6.3 Lesvos earthquake from detailed seismological observations. Journal of Geodynamics, 115, 23–42. https://doi.org/10.1016/j.jog.2018.01.009
Reasenberg, P. (1985). Second-order moment of central California seismicity, 1969–1982. Journal of Geophysical Research: Solid Earth, 90, 5479–5495. https://doi.org/10.1029/JB090iB07p05479
Rigo, A., Lyon-Caen, H., Armijo, R., Deschamps, A., Hatzfeld, D., Makropoulos, K., Papadimitriou, E., & Kassaras, I. (1996). A microseismic study in the western part of the gulf of Corinth (Greece) implication for large-scale normal faulting mecanisms. Geophysical Journal International, 126, 663–688. https://doi.org/10.1111/j.1365-246X.1996.tb04697.x
Roland, E., & McGuire, J. J. (2009). Earthquake swarms on transform faults. Geophysical Journal International, 178(3), 1677–1690. https://doi.org/10.1111/j.1365-246X.2009.04214.x
Sotolongo-Costa, O., Antoranz, J. C., Posadas, A., Vidal, F., & Vazquez, A. (2000). Lévy flights and earthquakes. Geophysical Research Letters, 27(13), 1965–1968. https://doi.org/10.1029/2000GL011394
Tajima, F., & Kanamori, H. (1985). Global survey of aftershock area expansion patterns. Physics of the Earth and Planetary Interiors, 40, 77–134. https://doi.org/10.1016/0031-9201(85)90066-4
Toda, S., Stein, R. S., & Sagiya, T. (2002). Evidence from the AD 2000 Izu islands earthquake swarm that stressing rate governs seismicity. Nature, 419, 58–61. https://doi.org/10.1038/nature00997
Vidale, J. E., & Shearer, P. M. (2006). A survey of 71 earthquake bursts across southern California: Exploring the role of pore fluid pressure fluctuations and aseismic slip as drivers. Journal of Geophysical Research: Solid Earth, 111, B05312. https://doi.org/10.1029/2005JB004034
Waldhauser, F. (2001). hypoDD-A Program to Compute Double-Difference Hypocenter Locations. Open File Report 2001–113, 25 p., U.S. Geological Survey. https://doi.org/10.3133/ofr01113
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, 1353–1368. https://doi.org/10.1785/0120000006
Ward, J. H. (1963). Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association, 58, 236–244. https://doi.org/10.1080/01621459.1963.10500845
Zhu, W., Allison, K. L., Dunham, E. M., & Yang, Y. (2020). Fault valving and pore pressure evolution in simulations of earthquake sequences and aseismic slip. Nature Communications, 11, 4833. https://doi.org/10.1038/s41467-020-18598-z
Acknowledgements
We would like to thank Ian Main, an anonymous reviewer and the editor, Zordi Julià, for their constructive comments that helped to improve the quality of this work. We would also like to thank the personnel of the Hellenic Unified Seismological Network (http://eida.gein.noa.gr/; Evangelidis et al., 2021) and the Corinth Rift Laboratory Network (https://doi.org/10.15778/RESIF.CL) for the installation and operation of the stations used in the current article. This research is co-financed by Greece and the European Union (European Social Fund- ESF) through the Operational Programme «Human Resources Development, Education and Lifelong Learning 2014–2020» in the context of the project “The role of fluids in the seismicity of the Western Gulf of Corinth (Greece)” (MIS 5048127).
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This research is co-financed by Greece and the European Union (European Social Fund- ESF) through the Operational Programme «Human Resources Development, Education and Lifelong Learning 2014–2020» in the context of the project “The role of fluids in the seismicity of the Western Gulf of Corinth (Greece)” (MIS 5048127).
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Michas, G., Kapetanidis, V., Kaviris, G. et al. Earthquake Diffusion Variations in the Western Gulf of Corinth (Greece). Pure Appl. Geophys. 178, 2855–2870 (2021). https://doi.org/10.1007/s00024-021-02769-0
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DOI: https://doi.org/10.1007/s00024-021-02769-0