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New Finite-Element Modelling of Subduction Processes in the Andes Using Realistic Geometries

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Book cover Earth on the Edge: Science for a Sustainable Planet

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 139))

Abstract

The aim of this work is the better understanding of geophysical processes in subduction zones by Finite element modelling. Here we study the effects of various parameters on the deformation and stress field. The tested parameters are the friction coefficient, convergence obliquity, bending of the subduction zone, realistic geometry and visco-elasticity. Increasing the friction coefficient from 0.0 to 0.4 increases the compression by 28 %. For both friction coefficients obliquity leads to higher compression compared to straight convergence. Comparison of the model results with real topographic data reveals considerable analogies even if crustal structure is generalised. To obtain a more realistic structure for the lithosphere we adopted the geometry from well constrained density models. For these models we chose the region in the South American subduction zone around Iquique in North Chile. Including viscosity in the models has a large effect on stress and strain. In a pure elastic model stress and strain develops nearly linear. In contrast curves for the visco-elastic models show a stress maximum and a zone of maximum curvature for the strain. The stress pattern agrees well with the earthquake distribution.

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References

  • ABAQUS (2010) Version 6.10. Dassault Systèmes Simulia Corp., Providence. Link to online tutorial: http://abaqus.civil.uwa.edu.au:2080/v6.10/index.html

  • ANCORP Working group (2003) Seismic imaging of convergent continental margin and plateau in the central Andes (Andean Continental Research Project 1996 (ANCORP’96)). J Geophys Res 108(B7):2328. doi:10.1029/2002JB001771

    Google Scholar 

  • Babeyko AY, Sobolev SV (2008) High-resolution numerical modelling of stress distribution in visco-elasto-plastic subducting slabs. Lithos 103:205–216. doi:10.1016/j.lithos.2007.09015

    Article  Google Scholar 

  • Barnes JB, Ehlers TA (2009) End member models for Andean Plateau uplift. Earth Sci Rev 97:105–132. doi:10.1016/j.earscirev.2009.08.003

    Article  Google Scholar 

  • Hoffmann-Rothe A, Kukowski N, Dresen G, Echtler H, Oncken O, Klotz J, Scheuber E, Kellner A (2006) Oblique convergence along the Chilean margin: partitioning, margin-parallel faulting and force interaction at the plate interface. In: Oncken O, Chong G, Franz G, Giese P, Götze H-J, Ramos VA, Strecker MR, Wigger P (eds) The~Andes—active subduction orogeny, vol 1, Frontiers in earth science series. Springer, Heidelberg, pp 125–146

    Google Scholar 

  • Klotz J, Abolghasem A, Khazaradze G, Heinze B, Vietor T, Hackney R, Bataille K, Maturana R, Viramonte J, Perdomo R (2006) Long-term signals in the present-day deformation field of the Central and Southern Andes and constraints on the viscosity of the earth’s upper mantle. In: Oncken O, Chong G, Franz G, Giese P, Götze H-J, Ramos VA, Strecker MR, Wigger P (eds) The Andes—active subduction orogeny, vol 1, Frontiers in earth science series. Springer, Heidelberg, pp 65–89

    Google Scholar 

  • Köther N, Götze H-J, Gutknecht BD, Jahr T, Jentzsch G, Lücke OH, Mahatsente R, Sharma R, Zeumann S (2012) The seismically active Andean and Central American margins: can satellite gravity map lithospheric structures? J Geodyn 59-60C. doi:10.1016/j.jog.2011.11.004

  • Liu M, Yang Y, Stein S, Klosko E (2002) Crustal shortening and extension in the Central Andes: insights from a viscoelastic model. In: Stein S, Freymueller JT (eds) Plate boundary zones, vol 30, Geodyn Ser. AGU, Washington, DC, pp 325–339. doi:10.1029/GD030p0325

    Google Scholar 

  • Oncken O, Chong G, Franz G, Giese P, Götze H-J, Ramos VA, Strecker MR, Wigger P (eds) (2006) The Andes—active subduction orogeny. Frontiers in earth science series, vol 1. Springer, Heidelberg, pp 3–27

    Google Scholar 

  • Ranalli G (1995) Rheology of the earth, 2nd edn. Chapman & Hall, London, p 413

    Google Scholar 

  • Somoza R (1998) Updated Nazca (Farallon)-South America relative motions during the last 40 my: implications for mountain building in the central Andean region. J South Am Earth Sci 11(3):211–215. doi:10.1016/S0895-9811(98)00012-1

    Article  Google Scholar 

  • Tassara A, Götze H-J, Schmidt S, Hackney R (2006) Three-dimensional density model of the Nazca plate and the Andean continental margin. J Geophys Res 111:B09404. doi:10.1029/2005JB003976

    Google Scholar 

  • Tichelaar BW, Ruff LJ (1991) Seismic coupling along the Chilean subduction zone. J Geophys Res 96(B7):11997–12022. doi:10.1029/91JB00200

    Article  Google Scholar 

  • Wang K, Suyehiro K (1999) How does plate coupling affect crustal stresses in northeast and southwest Japan? Geophys Res Lett 26(15):2307–2310. doi:10.1029/1999GL900528

    Article  Google Scholar 

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Acknowledgements

This work is part of the project IMOSAGA, a cooperation with University Kiel and TU Munich within the German priority program “Mass transport and mass distribution in the system Earth” (SPP 1257). The research is supported by the German research foundation (DFG). We thank the reviewers for improving the paper by their helpful comments and recommendations.

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Correspondence to Stefanie Zeumann .

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Zeumann, S., Sharma, R., Gassmöller, R., Jahr, T., Jentzsch, G. (2014). New Finite-Element Modelling of Subduction Processes in the Andes Using Realistic Geometries. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_13

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