Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems

Physics of the Earth and Planetary Interiors

Volumn 163, Issue 1-4, 2007, Pages 83-105

  Gerya, Taras V ^a   Yuen, David A ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Free curvilinear surface; Inertial effects; Numerical algorithm; Self gravitation; Visco elasto plasticity

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; GEOPHYSICS; GRAVITATION; RHEOLOGY; VISCOELASTICITY; VISCOPLASTICITY;

FREE CURVILINEAR SURFACE; GEODYNAMICS; GEOLOGICAL FLOWS; GLOBAL RAYLEIGH-TAYLOR INSTABILITY; INERTIAL EFFECTS; MULTIPHASE VISCO-ELASTO-PLASTIC THERMO-MECHANICAL PROBLEMS;

PLANETARY SURFACE ANALYSIS;

ALGORITHM; COMPUTER SIMULATION; EMPLACEMENT; FINITE DIFFERENCE METHOD; GEODYNAMICS; MOMENTUM; RHEOLOGY; STRUCTURAL GEOLOGY; TWO-DIMENSIONAL MODELING; VISCOELASTICITY; VISCOPLASTICITY;

EID: 34547870142     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2007.04.015     Document Type: Article

References (45)

1. Albers M. A local mesh refinement multigrid method for 3D convection problems with strongly variable viscosity. J. Comput. Phys. 160 (2000) 126-150
2. Bergdorf M., and Koumoutsakos P. A Lagrangian particle-wavelet method. Multiscale Model. Simul. 5 3 (2006) 980-995
3. Brace W.F., and Kohlstedt D.T. Limits on lithospheric stress imposed by laboratory experiments. J. Geophys. Res. 85 (1980) 6248-6252
4. Brackbill J.U. FLIP MHD: a particle-in-cell method for magnetohydrodynamics. J. Comput. Phys. 96 (1991) 163-192
5. Buiter S.J.H., Babeyko A.Yu., Ellis S., Gerya T.V., Kaus B.J.P., Kellner A., Schreurs G., and Yamada Y. The numerical sandbox: comparison of model results for a shortening and an extension experiment. In: Buiter S.J.H., and Schreurs G. (Eds). Analogue and Numerical Modelling of Crustal-Scale Processes 253 (2006), Geological Society, Special Publications, London 29-64
6. Burg J.-P., and Gerya T.V. Viscous heating and thermal doming in orogenic metamorphism: numerical modeling and geological implications. J. Metamorph. Geol. 23 (2005) 75-95
7. Chery J., Carretier S., and Ritz J.F. Postseismic stress transfer explains time-clustering of large earthquakes in Mongolia. Earth Planet. Sci. Lett. 194 (2001) 277-289
8. Cohen R. Physics Meets Mineralogy (2000), Cambridge University Press
9. Gerya T.V., and Burg J.-P. Intrusion of ultramafic magmatic bodies into the continental crust: numerical simulation. Phys. Earth Planet. Interiors 160 (2007) 124-142
10. Gerya T.V., and Yuen D.A. Characteristics-based marker-in-cell method with conservative finite-differences schemes for modeling geological flows with strongly variable transport properties. Phys. Earth Planet. Interiors 140 (2003) 295-320
11. Gerya, T.V., Perchuk, L.L., Maresch, W.V., Willner, A.P., 2004a. Inherent gravitational instability of hot continental crust: implication for doming and diapirism in granulite facies terrains. In: Whitney, D., Teyssier, C., Siddoway, C.S. (Eds.), Gneiss Domes in Orogeny, The Geological Society of America Special Paper 380, The Geological Society of America, Boulder, Colorado, pp. 97-115.
12. Gerya T.V., Yuen D.A., and Maresch W.V. Thermomechanical modeling of slab detachment. Earth Planet. Sci. Lett. 226 (2004) 101-116
13. Gerya T.V., Connolly J.A.D., Yuen D.A., Gorczyk W., and Capel A.M. Sesmic implications of mantle wedge plumes. Phys. Earth Planet. Interiors 156 (2006) 59-74
14. Gerya T.V., Connolly J.A.D., and Yuen D.A. Fluids and melts in subduction zones: insight from numerical modelling. EGU 2006, Geophysical Research Abstracts, vol. 8 (2006) 07259
15. Gerya T.V., Tackley P.J., and Yuen D.A. Shear heating, shell tectonics and core formation. EGU 2007, Geophysical Research Abstracts 9 (2007)
16. Gorczyk W., Gerya T.V., Connolly J.A.D., Yuen D.A., and Rudolph M. Large-scale rigid-body rotation in the mantle wedge and its implications for seismic tomography. Geochem. Geophys. Geosyst. 7 (2006) Q05018 10.1029/2005GC001075
17. Gorczyk W., Gerya T.V., Connolly J.A.D., and Yuen D.A. Growth and mixing dynamics of mantle wedge plumes. Geology 35 (2007) 587-590
18. Gruntfest I.J. Thermal feedback in liquid fluid: plane shear at constant stress. Trans. Soc. Rheol. 8 (1963) 195-207
19. Hall C.E., Gurnis M., Sdrolias M., Lavier L.L., and Muller R.D. Catastrophic initiation of subduction following forced convergence across fractures zones. Earth Planet. Sci. Lett. 212 (2003) 15-30
20. Hill R. The Mathematical Theory of Plasticity (1950), Oxford University Press, Oxford 366 pp
21. Ida S., and Lin D.N.C. Toward a deterministic model of planetary formation. II. Astrophys. J. 616 (2004) 567-572
22. Joseph D.D. Fluid Dynamics of Viscoelastic Fluids (1990), Springer-Verlag, New York 755 pp
23. Kameyama M., Yuen D.A., and Karato S. Thermal-mechanical effects of low-temperature plasticity (the Peierls mechanism) on the deformation of a viscoelastic shear zone. EPSL 168 (1999) 159-172
24. Kieffer S. From regolith to rock by shock. J. Earth Moon Planets 13 (1975) 301-320
25. Moresi L., Dufour F., and Mühlhaus H.-B. A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. J. Comput. Phys. 184 (2003) 476-497
26. Muhlhaus H.B., and Regenauer-Lieb K. Towards a self-consistent plate mantle model that includes elasticity: simple benchmarks and application to basic modes of convection. Geophys. J. Int. 163 (2005) 788-800
27. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1980), McGraw-Hill, New York
28. Poliakov A.N.B., and Herrmann H.J. Self-organized criticality of plastic shear bands in rocks. Geophys. Res. Lett. 21 (1994) 2143-2146
29. Ranalli G. Rheology of the Earth (1995), Chapman & Hall, London 413 pp
30. Ranero C.R., Morgan J.P., McIntosh K., and Reichert C. Bending-related faulting and mantle serpentinization at the Middle America trench. Nature 425 (2003) 367-373
31. Ranero C.R., Villasenor A., Morgan J.P., and Weinrebe W. Relationship between bend-faulting at trenches and intermediate-depth seismicity. Geochem. Geophys. Geosyst. 6 (2005) (Art. no. Q12002)
32. Regenauer-Lieb K., and Yuen D.A. Positive feedback of interacting ductile faults from coupling of equation of state, rheology and thermo-mechanics. Phys. Earth Planet. Interiors 142 (2004) 113-135
33. Regenauer-Lieb K., and Yuen D.A. Quartz rheology and short-time-scale crustal instabilities. Pure Appl. Geophys. 163 (2006) 1915-1932
34. Rudolph M.L., Gerya T.V., Yuen D.A., and DeRosier S. Visualization of multiscale dynamics of hydrous cold plumes at subduction zones. Visual Geosci. 17 (2004) 59 10.1007/s10069-004-0017-2
35. Schmalholz S.M., Podladchikov Y.Y., and Schmid D.W. A spectral/finite difference method for simulating large deformations of heterogeneous, viscoelastic materials. Geophys. J. Int. 145 (2001) 199-208
36. Senshu H., Kuramoto K., and Matsui T. Thermal evolution of a growing Mars. J. Geophys. Res. 107 (2002) 5118 10.1029/2001je001819
37. Stein R. The role of stress transfer in earthquake occurrence. Nature 402 (1999) 605-609
38. Stevenson D.J. Models of the Earth's core. Science 214 (1981) 611-619
39. Tackley P.J. Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations. Part 1. Pseudo-plastic yielding. Geochem. Geophys. Geosyst. 1 (2000) (Paper no. 2000GC000036)
40. Ten A.A., Yuen D.A., and Podladchikov Yu.Yu. Visualization and analysis of mixing dynamical properties in convecting systems with different rheologies. Electron. Geosci. (1999) 4
41. Turcotte D.L., and Schubert G. Geodynamics (2002), Cambridge University Press, Cambridge 456 pp
42. Vasilyev O.V., Gerya T.V., and Yuen D.A. The application of multidimensional wavelets to unveiling multi-phase diagrams and in situ physical properties of rocks. Earth Planet. Sci. Lett. 223 (2004) 49-64
43. Vermeer P.A. The orientation of shear bands in biaxial tests. Geotechnique 40 (1990) 223-236
44. Weinberg R.B., and Schmeling H. Polydiapirs: multiwavelength gravity structures. J. Struct. Geol. 14 (1992) 425-436
45. Zhong, S., Yuen, D.A., Moresi, L.N., 2007. Numerical methods for mantle convection. In: Bercovici, D. (Ed.), Mantle Dynamics, Treatise on Geophysics, vol. 7, Elsevier, in press.