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)