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Subduction modeling. From 2D to 3D…. Subduction modeling. About the plate tectonics 2D subduction model 3D subduction model Future works. Subduction modeling. About the plate tectonics 2D subduction model 3D subduction model Future works. Plate tectonics. Plate tectonics.
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Subduction modeling From 2D to 3D…
Subduction modeling • About the plate tectonics • 2D subduction model • 3D subduction model • Future works
Subduction modeling • About the plate tectonics • 2D subduction model • 3D subduction model • Future works
Plate tectonics Transformboundaries
Plate tectonics Divergentboundaries
Plate tectonics Convergentboundaries
Plate tectonics Convergentboundaries Collision Subduction
Subduction modeling • About the plate tectonics • 2D subduction model • 3D subduction model • Future works
First subduction model : 2D • Rectangle domain Plate Upper mantle
First subduction model : 2D • Lengths of the domain Plate 660 km 100 km Upper mantle Lower mantle 3120 km
First subduction model : 2D • Boundary conditions Plate Upper mantle No slip Lower mantle
First subduction model : 2D • Boundary conditions Plate Free slip Upper mantle No slip Lower mantle
First subduction model : 2D • Boundary conditions Plate Free slip Upper mantle Free slip Free slip No slip Lower mantle
First subduction model : 2D • Boundary conditions Plate Free slip No slip Upper mantle Free slip Free slip No slip Lower mantle
… conservation of mass, incompressible medium … conservation of momentum with … deviatoric stress tensor no energy equation Governing equations • Rayleigh-Taylor Instability: dense slab sinks into a less dense mantle
Rheology • Viscous mantle • Viscoplastic plate Viscous Plastic
The software EscriptFinley • Model setup : escript • PDE solver : Finley • Tracking of the plate : level set method • Visualization : Pyvisi, Gnuplot
The hardware • Altix @ UQ
Necessity of the third dimension • Importance of the mantle flow • Real subductions have a limited lateral extent • Interactions on the lateral edges of subduction zones
Subduction modeling • About the plate tectonics • 2D subduction model • 3D subduction model • Future works
3D subduction model • Same governing equations • Same tools used • … only a different setup
3D subduction model no upper plate plate with subduction zone upper mantle Box size: big enough, for side walls to have little effect on subducting slab
The level set field use level set to define and track the subducting plate subducting slab only subducting part of the plate is included in the FE domain
Symmetry hypothesis free slip side boundary assume symmetry: model only half of the domain
Bottom boundary condition fixed bottom boundary higher viscosity in LM and phase boundary hinder convection
Slab boundary conditions free slip top boundary fixed end plate fixed, to isolate effects of tearing and rollback
Edge of the slab extreme case: free slip tear zone
Top boundary condition plate bottom fixed
Sides boundary conditions Freeslip on the sides
Hinge position Hingeposition(km) Time(M years)
Hinge position Hingeposition(km) Time(M years)
Hinge rollback velocity Hinge rollbackvelocity (mm/year) Time(M years)
Hinge rollback velocity Hinge rollbackvelocity (mm/year) Initiation Time(M years)
Hinge rollback velocity Hinge rollbackvelocity (mm/year) Reorganization of the mantle flow Time(M years)
Hinge rollback velocity Hinge rollbackvelocity (mm/year) 2.5 mm/year Steady subduction Time(M years)
Hinge from the top 80 My 20 My 40 My 60 My
Why arcs ? • Ping pong ball hypothesis
Why arcs ? • Toroidal flow • Inhomogeneities in the subducting plate • Tear resistance on the edges