Particle Methods in Tectonic Modelling October 27, 2003 Hans F. Schwaiger Sean Willett University of Washington Title.

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Particle Methods in Tectonic Modelling October 27, 2003 Hans F. Schwaiger Sean Willett University of Washington Title

Dis-continuum Modelling in Geodynamics Analogue/Sandbox models Discrete Element Modelling (DEM) Smooth Particle Hydrodynamics (SPH) Outline

Fluid/Solid interaction with Brittle deformation Wu, et. al., 1998 Bertotti, et. al., 2000

Analogue/Sandbox Models Simulates Mohr-Coulomb behaviour Difficult to adjust model parameters Bonini and Sani., 2002 Persson and Sokoutis., 2002

Discrete Element Modelling Simulates granular material Forces are transmitted through contacts with neighbouring particles Accommodates large strain on discrete structures

DEM applied to lithospheric processes Burbidge, 2000 Saltzer, et. al., 1992 Accretionary wedges Extensional faulting

Smooth Particle Hydrodynamics Grid-Free Lagrangian Method Solves Continuum Equations Can handle an arbitrary constitutive law (in principle) Bonnet, 1999

SPH Formulations of Field Equations

Model testing 1-D Thermal 1-D Mechanical Couette FlowPoisouille Flow Heat Flow

Model testing 2-D Mechanical Monaghan, 1994 Inviscid Dam Burst

Adding Viscosity Low Viscosity

Adding Viscosity Medium Viscosity

Adding Viscosity High Viscosity

Folding of viscous layers

Accretionary Wedges Low Viscosity Medium Viscosity

Accretionary Wedges High Viscosity

Future work Add energy equation (2/3-D Heat flow, heat sources) Add non-linear stress in momentum equation Add erosion Parallelize code (necessary for 3-D)