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Published on: August 5, 2016
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A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
A-A Gabriel1, D Li1, S Chiocchetti2
1Ludwig-Maximilians-Universität München, Theresienstr. 41, 80333 München, Germany.
Summary
This study introduces a new mathematical model for earthquake fault zones, unifying nonlinear material behavior, damage, and phase transitions. The model captures complex fault geometries and dynamic rupture processes, advancing earthquake simulation capabilities.
Area of Science:
- Geophysics and Computational Mechanics
- Solid Earth Physics
- Material Science
Background:
- Earthquake fault zones exhibit complex geometry and rheology beyond idealized models.
- Existing models struggle to incorporate nonlinear material behavior, multi-physics, and complex fault structures.
Purpose of the Study:
- To present a unified mathematical model for earthquake fault zones.
- To incorporate nonlinear elasto-plasticity, material damage, and viscous flows with phase transitions.
- To enable the simulation of complex fault geometries and dynamic earthquake rupture.
Main Methods:
- Developed a first-order hyperbolic and thermodynamically compatible continuum model.
- Utilized scalar functions (ξ for damage, α for solid fraction) for fault and crack representation.
- Employed a diffuse interface approach for complex geometries, compatible with adaptive mesh refinement (AMR).
Main Results:
- The model successfully describes nonlinear material behavior, damage, and phase transitions.
- Demonstrated co-seismic generation of secondary off-fault cracks and tensile rock fracture.
- Validated the model with a natural convection problem in molten materials.
Conclusions:
- The presented model offers a unified framework for simulating complex fault zone dynamics.
- It advances the understanding of earthquake rupture and related phenomena.
- The model's flexibility allows for detailed simulations of geological processes.
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