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Complex dynamics of fault zone deformation under large dam at various time scales

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Abstract

In the paper, we analyzed almost 40 years’ long time series of fault zone strain, which crosses the foundation of the Enguri high arc dam (West Caucasus). The time series of fault strain reflect summary effect of tectonic, environmental and man-made impact. Our original contribution to the geomechanics of geo-energy is the first application of complexity theory methods to the analysis of fault zone monitoring time series. This lead to understanding complicated dynamics of the fault zone deformation, which reflects a joint influence of regional tectonics, local man-made stresses and environmental factors. Namely, we used recurrence plots, recurrence quantification analysis, mutual information and singular spectrum analysis to reveal evolution of hidden temporal patterns in the history of fault zone deformation, which cannot be detected by standard statistical methods. Using these mathematical methods of data-handling, we singled out contributions long-, intermediate- and short-term factors on the temporal variation of fault zone deformation and suggest corresponding interpretation of temporal patterns in terms of poroelasticity. Analysis of nonlinear dynamics of fault zone deformation can be useful for assessment of different components of the fault strain, affecting dam safety.

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References

  • Abashidze V (2001) Geophysical monitoring of geodynamical processes at Enguri Dam. Publishing House Metsniereba, Tbilisi (in Russian)

    Google Scholar 

  • Abashidze V, Alexidze M, Kiria D, Savich A, Tsaguria T (1989) Investigation of shifts and strains in by-surface part of the Earth crust in Enguri reservoir region. Bull Georgian Acad Sci 33(2):301–304 (In Russian)

    Google Scholar 

  • Automated Dam Monitoring Systems (2000) Bulletin of International Committee of Large Dams, N 118. Paris. https://www.academia.edu/4094909/Automated_dam_monitoring_systems_-_Guidelines_and_case_histories

  • Balavadze B (ed) (1981) Geological-geophysical studies in the region of Enguri hydro power station. Publishing House Metsniereba, Tbilisi (In Russian)

    Google Scholar 

  • Bartsh M, Schiess Z, Steiger K (2011) Continuous dam monitoring: an essential basis for reliable back-analysis. Hydro Power Dams 18:51–56

    Google Scholar 

  • Biot M (1962) Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 33(4):1482–1498

    Article  MathSciNet  Google Scholar 

  • Brown G, Pocock A, Zhao M-J, Lujan M (2012) Conditional likelihood maximization: a unifying framework for information theoretic feature selection. J Mach Learn Res JMLR 13:27–66

    MATH  Google Scholar 

  • Bulletin of International Commission on Large Dams (2011) #137, Reservoirs and Seismicity. Paris. https://www.icold-cigb.org/GB/publications/bulletins.asp

  • Chelidze T, Matcharashvili T (2015) Dynamical patterns in seismology. In: Webber C, Marwan N (eds) Recurrence quantification analysis: theory and best practices. Springer, Cham, pp 291–335

    Chapter  Google Scholar 

  • Chelidze T, Matcharashvili T, Abashidze V, Kalabegashvili M, Zhukova N (2013) Real time monitoring for analysis of dam stability: potential of nonlinear elasticity and nonlinear dynamics approaches. Front Struct Civ Eng 7:188–205. https://doi.org/10.1007/s11709-013-0199-5

    Article  Google Scholar 

  • Cheng AH (2016) Poroelasticity. Springer, Cham. https://doi.org/10.1007/978-3-319-25202-5

    Book  MATH  Google Scholar 

  • Eckmann J, Kamphorst S, Ruelle D (1987) Recurrence plots of dynamical systems. Europhys Lett 4:973–977

    Article  Google Scholar 

  • Elsner J, Tsonis A (1996) Singular spectrum analysis, a new tool in time series analysis. Plenum Press, New York

    Book  Google Scholar 

  • Emukhvari N, Bronshtein V (1991) Enguri HPP-system of allowable and limiting parameters of arch dam state for operative control of its safety during exploitation. Ministry of Energy USSR, Moscow (In Russian)

    Google Scholar 

  • Gueguen Y, Bouteca M (2004) Mechanics of fluid-saturated rocks. Elsevier, Amsterdam

    Google Scholar 

  • Gupta H (1992) Reservoir-induced earthquakes. Elsevier, New York

    Google Scholar 

  • Guyer R, Johnson P (2009) Nonlinear mesoscopic elasticity. Wiley, Hoboken

    Book  Google Scholar 

  • Hassani H (2007) Singular spectrum analysis: methodology and comparison. J Data Sci 5:239–257. https://mpra.ub.uni-muenchen.de/4991/2/MPRA_paper_4991.pdf

  • Ikari M, Carpenter B, Marone C (2016) A microphysical interpretation of rate- and statedependent friction for fault gouge. Geochem Geophys Geosyst 17:1660–1677. https://doi.org/10.1002/2016GC006286

    Article  Google Scholar 

  • Ishimura K, Sakurai S (2012) Effects of window length when smoothing with singular spectrum analysis technique in running data. In: Proceedings of 30th annual conference of biomechanics in sports. Melbourne

  • Kantz H, Schreiber T (1997) Nonlinear time series analysis. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Kononov E (2006) Visual recurrence analysis. https://visual-recurrence-analysis.software.informer.com/. Assessed 6 July 2019

  • Li W (1990) Mutual information functions versus correlation functions. J Stat Phys 60:823–837

    Article  MathSciNet  Google Scholar 

  • Manga M, Wang C (2009) Earthquake hydrology. In: Kanamory H (ed) Earthquake seismology. Elsevier, Amsterdam, pp 293–321

    Google Scholar 

  • Marwan N (2003) Encounters with neighborhood. Dissertation. University of Potsdam

  • Matcharashvili T, Chelidze T, Abashidze V, Zhukova N, Meparidze E (2010) Changes in dynamics of seismic processes around Enguri high dam reservoir induced by periodic variation of water level. In: de Rubeis V, Czechowski Z, Teisseyre R (eds) Synchronization and triggering: from fracture to earthquake processes. Springer, Heidelberg, pp 273–286

    Chapter  Google Scholar 

  • Matcharashvili T, Chelidze T, Abashidze V, Zhukova N, Fra Paleo U (2011) Evidence for changes in the dynamics of Earth crust tilts caused by the large dam construction and reservoir filling at the Enguri dam international test area (Georgia). Nonlinear Dyn. https://doi.org/10.1007/s11071-010-9930-0

    Article  Google Scholar 

  • Matcharashvili T, Chelidze T, Zhukova N, Tsveradze Z (2016) Application of the dynamic data analysis in the real time monitoring of high dam body behavior. Chaotic Model Simul CMSIM 3:309–316

    Google Scholar 

  • Ostrovsky A (1978) Deformations of the earth crust according to tilt observations. Nauka, Moscow (in Russian)

    Google Scholar 

  • Pacheco F (2013) Hydraulic diffusivity and macrodispersivity calculations embedded in a geographic information system. Hydrol Sci J 58:930–944

    Article  Google Scholar 

  • Peinke J, Matcharashvili T, Chelidze T, Gogiashvili J, Nawroth A, Lursmanashvili O, Javakhishvili Z (2006) Influence of periodic variations in water level on regional seismic activity around a large reservoir: field data and laboratory model. Phys Earth Plan Inter 156:130–142

    Article  Google Scholar 

  • Pikovsky A, Rosenblum M, Kurths J (2003) Synchronization: universal concept in nonlinear science. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Press W, Teukolsky S, Vetterling W, Flannery B (2007) Numerical recipes: the art of scientific computing, section 14.7.3. Conditional entropy and mutual information, 3rd edn. Cambridge University Press, New York

    MATH  Google Scholar 

  • Roeloffs E (1988) Fault stability changes induced beneath a reservoir with cyclic variations in water level. J Geophys Res Solid Earth. https://doi.org/10.1029/jb093ib03p02107

    Article  Google Scholar 

  • Savich A (ed) (2002) Complex engineering-geophysical Investigations in construction of hydropower objects. Nedra, Moscow (in Russian)

    Google Scholar 

  • Schuster H (ed) (2010) Reviews of nonlinear dynamics and complexity, vol 3. Wiley, Hoboken

    MATH  Google Scholar 

  • Shapiro S, Rothert E, Rath V, Rindschwentner J (2002) Characterization of fluid transport properties of reservoirs using induced microseismicity. Geophysics 67(1):212–220

    Article  Google Scholar 

  • Sprott J (2006) Chaos and time series analysis. Oxford University Press, Oxford

    Google Scholar 

  • Strogatz S (2000) Nonlinear dynamics and chaos. Westreview Press, Cambridge

    Google Scholar 

  • Talwani P (1997) On the nature of reservoir-induced seismicity. Pure Appl Geophys 150:473–492

    Article  Google Scholar 

  • Talwani P, Acree S (1984/85) Pore pressure diffusion and the mechanism of reservoir-induced seismicity. Pure Appl Geophys 122:947–965

  • Telesca L, Matcharasvili T, Chelidze T, Zhukova N (2012) Relationship between seismicity and water level in the Enguri high dam area (Georgia) using the singular spectrum analysis. Nat Hazards Earth Syst Sci 12:2479–2485

    Article  Google Scholar 

  • USSD Committee on Monitoring of Dams and Their Foundations (1989) Bulletin of International Committee of Large Dams, # 68, Paris. https://www.icold-cigb.org/GB/publications/bulletins.asp

  • Vautard R, Yiou P, Ghil M (1992) Singular-spectrum analysis: a toolkit for short, noisy, chaotic signals. Physica D 58:95–126

    Article  Google Scholar 

  • Wang C-Y, Manga M (2010) Earthquakes and water. Springer, Berlin

    Google Scholar 

  • Webber C, Marwan N (eds) (2015) Recurrence quantification analysis. Springer, Cham

    Google Scholar 

  • Wu X, Heflin M, Ivins V, Argus D, Webb F (2003) Large-scale global surface mass variations inferred from GPS measurements of load-induced deformation. Geophys Res Lett 30(14):1742. https://doi.org/10.1029/2003gl017546

    Article  Google Scholar 

Download references

Acknowledgements

Authors acknowledge the financial support of the Open Partial Agreement on the Major Disasters at the Council of Europe (Ref. No: GA/2017/08, FIMS PO No: 537534) and Shota Rustaveli National Science Foundation of Georgia (Project No: 216732).

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Correspondence to Tamaz Chelidze.

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Chelidze, T., Matcharashvili, T., Abashidze, V. et al. Complex dynamics of fault zone deformation under large dam at various time scales. Geomech. Geophys. Geo-energ. Geo-resour. 5, 437–455 (2019). https://doi.org/10.1007/s40948-019-00122-3

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