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Level Set Methods for Multilayer Geological Folding Jonathan Boon, Chris Budd & Giles.Hunt. Motivating Examples. Experiments. Experiments on layers of paper (courtesy of Ahmer Wadee, Rorie Edmunds, Jonathan Boon). In-between States. Model 1. Euler strut Energy

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level set methods for multilayer geological folding jonathan boon chris budd giles hunt
Level Set Methods for Multilayer Geological Folding

Jonathan Boon, Chris Budd & Giles.Hunt

model 1
Model 1
  • Euler strut
  • Energy
  • Critical Load depends on length of strut.
model 2
Model 2
  • Strut on a linear elastic foundation – more realistic
  • Critical load
  • Wavelength
model 3
Model 3
  • Viscous foundation
  • Biot: Dominant wavelength
  • Valid for small deflections.
  • Wavelength does not agree well with reality.
multilayer models
Multilayer models
  • Two layer model developed (Budd et al. 2003).
  • Addition of friction to elastic foundation model.
  • Can not accurately extend to n layer model because outer layers become non-sinusoidal…
  • Use level set method to model the multilayer geometry.
swallowtail
Swallowtail

Lagrangian formulation

Eulerian formulation

Serial folding

comparison of model with experiment
Comparison of model with experiment
  • Reformulate mechanical model in terms of the geometry
conclusion
Conclusion
  • Singularity formation in multilayers can be predicted by the geometry.
  • Nonlinear bending energy provides a mechanism of restabilising a fold.
  • Serial folds form most naturally from the reactive end.
  • Further work needed to verify results and to check the effects of unmodelled behaviour