User menu

Earth curvature effects on subduction morphology: Modeling subduction in a spherical setting with the fast multipole boundary element method

Bibliographic reference Morra, Gabriele ; Chatelain, Philippe ; Tackley, Paul ; Koumoutsakos, Petros. Earth curvature effects on subduction morphology: Modeling subduction in a spherical setting with the fast multipole boundary element method. In: Acta Geotechnica, Vol. 4, no. 2, p. 95-105 (2008)
Permanent URL http://hdl.handle.net/2078.1/71805
  1. Barnes J, Hut P (1986) A hierarchical O(N log N) force-calculation algorithm. Nature 324
  2. Bird P (2003) An updated digital model of plate boundaries. Geochem Geophys Geosyst 4(3):1027. doi: 10.1029/2001GC000252
  3. Carlson RL, Hilde TWC, Uyeda S (1983) The driving mechanism of plate tectonics: relation to age of the lithosphere at trenches. Geophys Res Lett 10:297–300
  4. Capitanio FA, Morra G, Goes S (2007) Dynamic models of downgoing plate buoyancy driven subduction: subduction motions and energy dissipation. Earth Planet Sci Lett (in press)
  5. Christensen UR (1996) The influence of trench migration on slab penetration into the lower mantle. Earth Planet Sci Lett 140:27–39
  6. Cizkova H, Cadek O, Van den Berg AP, Vlaar NJ (1999) Can lower mantle slab-like seismic anomalies be explained by thermal coupling between upper and lower mantles? Geophys Res Lett 26:1501–1504
  7. Davies G (1980) Thermal histories of convective Earth models and constraints on radiogenic heat production in the Earth. J Geophys Res 85:2517–2530
  8. Davaille A, Jaupart C (1993) Transient high-Rayleigh-number thermal convection with large viscosity variations. J Fluid Mech 253
  9. Davaille Anne, Jaupart Claude, Onset of thermal convection in fluids with temperature-dependent viscosity: Application to the oceanic mantle, 10.1029/94jb01405
  10. Faccenna Claudio, Davy Philippe, Brun Jean-Pierre, Funiciello Renato, Giardini Domenico, Mattei Massimo, Nalpas Thierry, The dynamics of back-arc extension: an experimental approach to the opening of the Tyrrhenian Sea, 10.1111/j.1365-246x.1996.tb04702.x
  11. Fukao Y, Widiyantoro S, Obayashi M (2001) Stagnant slabs in the upper and lower mantle transition zone. Rev Geophys 39:291–323
  12. Funiciello F, Morra G, Regenauer-Lieb K, Giardini D (2003) Dynamics of retreating slabs (part 1): insights from 2-D numerical experiments. J Geophys Res 108(B4):2206. doi: 10.1029/2001JB000898
  13. Goes S, Capitanio FA, Morra G (2008) Evidence of lower mantle slab penetration phases in plate motions. Nature (in press)
  14. Greengard L, Rokhlin V (1987) A fast algorithm for particle simulations. J Comput Phys A 73:325–348
  15. Gurnis M, Hager BH (1988) Controls of the structure of subducted slabs. Nature 335:317–321
  16. Guillou-Frottier L, Buttles J, Olson P (1995) Laboratory experiments on the structure of subducted lithosphere. Earth Planet Sci Lett 133:19–35
  17. Isacks B, Molnar P (1971) Distribution of stresses in the descending lithosphere from a global survey of focal mechanism solutions of mantle earthquakes. Rev Geophys 9:103–174
  18. Ita J, King SD (1998) The influence of thermodynamic formulation on simulations of subduction zone geometry and history. Geophys Res Lett 25:1463–1466
  19. JACOBY WOLFGANG R., Model Experiment of Plate Movements, 10.1038/physci242130a0
  20. Lallemand Serge, Heuret Arnauld, Boutelier David, On the relationships between slab dip, back-arc stress, upper plate absolute motion, and crustal nature in subduction zones : SUBDUCTION ZONE DYNAMICS, 10.1029/2005gc000917
  21. Manga M, Stone HA (1995) Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces. J Fluid Mech 287:279–298
  22. Moresi L, Gurnis M (1996) Constraints on the lateral strength of slabs from three-dimensional dynamic flow models. Earth Planet Sci Lett 138:15–28
  23. Morra G, Regenauer-Lieb K (2006) A coupled solid–fluid method for modeling subduction. Phil Mag 86:3307–3323
  24. Morra G, Regenauer-Lieb K, Giardini D (2006) Curvature of oceanic arcs. Geology 34:877–880
  25. Pozrikidis C (1992) Boundary integral and singularity methods for linearized viscous flow
  26. Phillips BR, Bunge H-P (2005) Heterogeneity and time dependence in 3D spherical mantle convection models with continental drift. Earth Planet Sci Lett 233:121–135
  27. Regenauer-Lieb K, Yuen DA (2003) Modeling shear zones in geological and planetary sciences: solid- and fluid-thermal-mechanical approaches. Earth Sci Rev 63:295–349
  28. Regenauer-Lieb K, Yuen D, Branlund J (2001) The initiation of subduction: criticality by addition of water? Science 294:578–580
  29. Ricard Y, Richards MA, Lithgow-Bertelloni C, Lestunff Y (1993) Geodynamic model of mantle density heterogeneity. J Geophys Res 98:21895–21909
  30. Ribe NM, Stutzmann E, Ren Y, van der Hilst R (2007) Buckling instabilities of subducted lithosphere beneath the transition zone. Earth Planet Sci Lett 254:173–179
  31. Royden LH, Husson L (2006) Trench motion, slab geometry and viscous stresses in subduction systems. Geophys J Int 167:881–905
  32. Schellart WP, Freeman J, Stegman DR, Moresi L, May D (2007) Evolution and diversity of subduction zones controlled by slab width. Nature 446. doi: 10.1038/nature05615
  33. Sdrolias M, Mueller RD (2006) Controls on back-arc basin formation. Geochem Geophys Geosyst 7. doi: 10.1029/2005GC001090
  34. Sornette D, Pisarenko V (2003) Fractal plate tectonics. Geophys Res Lett 30(3):1105. doi: 10.1029/2002GL015043
  35. Stegman DR, Freeman J, Schellart WP, Moresi L, May D (2006) Influence of trench width on subduction hinge retreat rates in 3-D models of slab rollback. Geoc Geophy Geosys 7:1–22
  36. Tackley P (2000) Self-consistent generation of tectonic plates in time- dependent, three-dimensional mantle convection simulations, 1. Pseudoplastic yielding. Geochem Geophys Geosyst 1:23
  37. Tornberg AK, Greengard L (2007) A fast multipole method for the three dimensional stokes equations. J Comput Phys (in press)
  38. Van der Hilst RD, Karason H (1999) Compositional heterogeneity in the bottom 1000 kilometers of Earth’s mantle: toward a hybrid convection model. Science 283(5409):1885–1888
  39. Van der Voo R, Spakman W, Bijwaard H (1999) Mesozoic subducted slabs under Siberia. Nature 397:246–249
  40. Warren MS, Salmon JK (1993) A parallel hashed Oct-Tree N-body algorithm. In: Supercomputing, FMM93, pp 12–21
  41. Youngren GK, Acrivos A (1975) Stokes flow part a particle of arbitrary shape: a numerical method of solution. J Fluid Mech 69(2):377–403
  42. Zhong S, Gurnis M (1995) Mantle convection with plates and mobile, faulted plate margins. Science 267:838–843