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Numerical Modeling of Shell Tectonics: Insights into Planetary Accretion

Explore the dynamics of shell tectonics during planetary formation through numerical modeling techniques, unveiling the hidden power of shell tectonics. Discover the relevance of visco-elasto-plastic rheology, large deformation, free surface, and spherical geometry in modeling shell tectonics. The spherical Cartesian model provides a novel approach to simulating planetary processes, demonstrating self-gravity effects and grid orientation independence. Join the journey through "Cubic Earth" simulations and soft shell tectonics modeling for a comprehensive understanding of planetary evolution.

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Numerical Modeling of Shell Tectonics: Insights into Planetary Accretion

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  1. shell tectonics Numerical modelling of shell tectonics during terrestrial planetary accretion Taras Gerya Paul Tackley David Yuen Ja-Ren Lin U of M NTU Taiwan ETH– Zurich ETH– Zurich

  2. shell tectonics

  3. Primordial core fragmentation (Stevenson, 1981) SHELL TECTONICS

  4. Primordial core fragmentation ppv D“ (Stevenson, 1981) SHELL TECTONICS

  5. SHELL TECTONICS ??? ??? Plate tectonics observations concepts models

  6. Hidden power of b&w sketches... (Stevenson, 1981)

  7. What do we need for modeling of SHELL TECTONICS ? • Visco-elasto-plastic rheology • 2. Large deformation • 3. Free surface • 4. Spherical geometry

  8. What do I have ? ? • Visco-elasto-plastic rheology • 2. Large deformation • 3. Free surface • 4. “Spherical Cartesian” geometry

  9. "Spherical Cartesian" Modeling spherical planets on Cartesian grid

  10. Why not Cartesian ? material heat flow flow momentum equation continuity equation temperature equation Cp[(T/t) + vi(T/xi)] = [k(T/xi)]/xi + (H/t)

  11. Why not Cartesian ? Gerya & Yuen (2007)

  12. SELF GRAVITY Gravity potential Gravity vector amplitude gz gx Gerya & Yuen (2007)

  13. "Spherical Cartesian" Check it out!

  14. Setup: "Cubic Earth" Planet 3300 kg/m3 1021 Pa s Continents 3000 kg/m3 1020 Pa s „Space“ 1 kg/m3 1018 Pa s

  15. The End

  16. "Spherical Cartesian" How spherical is it ?

  17. It is very spherical in 3D...

  18. It is very cylindrical in 2D... pressure

  19. Any grid orientation dependence ?

  20. Any grid orientation dependence ?

  21. No grid orientation dependence

  22. Weak medium viscosity influence

  23. SOFT SHELL TECTONICS

  24. MODEL 1

  25. MODEL 1

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