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Pseudo Dynamic Rupture - A stress-based self-similar finite source model¶
Introduction¶
Physics-based, dynamic rupture models, which rely on few parameters only, are needed to allow a realistic forward modelling and to reduce the effort and non-uniqueness of the inversion. The PseudoDynamicRupture is a simplified, dynamic, semi-analytical rupture model suited for wavefield and static displacement simulations and earthquake source inversion. The rupture builds on the class of self-similar crack models. On one hand it is approximative as it neglects inertia and so far the details of frictional effects, and treats the rupture front growth in a simplified way. On the other hand, it is complete as the slip fulfils the boundary condition on the broken plane for every instantaneous rupture front geometry and applied stress.
Source Implementation details¶
Flowchart illustrating the implementation of the PseudoDynamicRupture in Pyrocko-GF.
Pyrocko-GF source usage¶
The PseudoDynamicRupture can be used a any other source model in Pyrocko-GF for forward modelling synthetic waveforms or static surface displacements.
Traction and stress field parametrisation¶
The rupture plane can be exposed to different stress/traction field models and abstract modifiers to these fields. These fields can be used independently or be combined into a composition model.
Traction models:
UniformTractionsHomogeneousTractions
Abstract traction models, modifying the the traction model:
RectangularTaperDepthTaper
Forward calculation of waveforms and static displacement¶
Details how the source model can be used in Pyrocko-GF can are layed out in Pyrocko-GF - Geophysical forward modelling with pre-calculated Green’s functions.