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B01 - Fault networks and scaling properties of deformation accumulation

Head(s): Dr. Sascha Brune (GFZ Potsdam), Prof. Dr. Carsten Gräser (FU Berlin), Prof. Dr. Marita Thomas (FU Berlin)
Project member(s): Joscha Podlesny, Dr. Michael Rudolf, Dr. Ehsan Kosari
Participating institution(s): FU Berlin, GFZ Potsdam

Project Summary

During the preceding funding periods, B01 has established a trustful collaboration of mathematics and the geosciences in order to provide geophysical modelling, mathematical analysis, numerical simulation, and experimental validation of deformation processes with fault networks. In the second funding period, research focussed on the spatial multiscale structure of fault networks and short time scales, utilizing a variational approach to rate- and statedependent (RSD) friction models for seismic events on given fault systems [9], [PKR16], and a
novel concept of fractal homogenization of multiscale interface problems [3], [KPY20] in combination with experiments [7].
On this background, the third funding period will be devoted to evolving fault networks on geological time scales and the interaction of fault network development with seismic events
based on the expertise of the new PIs Marita Thomas, Carsten Gräser (variational methods, phase field modelling), and Sascha Brune (geodynamic modelling, large-scale computations).
This new direction of research will be also supported by the new Mercator fellow Ylona van Dinther (see Section on Page 32).
In particular, the project will advance geodynamical visco–elasto–plastic models involving state-dependent plasticity to describe fault evolution [5,8]. Mathematical modelling and analysis
of state-dependent models and their efficient numerical solution will be investigated based, e.g., on analytical methods from [1], [4], [RT17], and numerical methods from [2], [GKS15],
[PKR16], [GKS20]. Theoretical and numerical results will be complemented by and compared with experiments on fault network evolution. To incorporate seismic events we will consider
RSD friction models on diffuse interfaces and study their relation to sharp interface models and analogue experiments discussed in previous funding periods. Finally, we will couple fault
evolution and RSD friction to investigate the interaction of fault evolution on geological time scales with seismic events on short time scales.
The project will be carried out in close cooperation of geoscience, applied analysis, and numerical analysis. It will contribute to the mathematical understanding of geodynamic scale
interaction, to its efficient and reliable numerical simulation and eventually to improved assessment of earthquake distributions on fault networks.

Publications B01