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Published byAshley Wells Modified over 6 years ago
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Level Set Methods for Multilayer Geological Folding
Dr J. Boon, Prof. C. Budd & Prof. G. Hunt
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Motivating Examples
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Experiments
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Experiments on layers of paper (courtesy of Ahmer Wadee, Rorie Edmunds, Jonathan Boon)
Before instability – like anisotropic material with nu = 0. After instability – like incompressible fluid under pressure.
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In-between States
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Model 1 Euler Energy Critical Load depends on length of strut.
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Model 2 Strut on a linear elastic foundation – more realistic
Critical load Wavelength
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Model 3 Viscous foundation Biot: Dominant wavelength
Valid for small deflections. Wavelength does not agree well with reality.
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P Δ
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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.
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Swallowtail Lagrangian formulation Eulerian formulation Serial folding
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LSM applied to parallel fold
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Comparison of model with experiment
Reformulate mechanical model in terms of the geometry
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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
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