29 Sep 2020
29 Sep 2020
Cross-Diffusion Waves as a trigger for multiscale, multiphysics Instabilities: Application to earthquakes
- 1School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052 Australia
- 2Department of Civil Engineering, The University of Hong Kong, Hong Kong
- 3Science and Engineering Faculty, Queensland University of Technology, Brisbane, QLD, 4001, Australia
- 4CSIRO, Deep Earth Imaging FSP, Kensington, Australia
- 5School of Engineering, University of Western Australia, Crawley, WA 6009, Australia
- 6Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
- 7Institute of Theoretical Physics, University of Warsawa, Warszawa, Poland
- 1School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052 Australia
- 2Department of Civil Engineering, The University of Hong Kong, Hong Kong
- 3Science and Engineering Faculty, Queensland University of Technology, Brisbane, QLD, 4001, Australia
- 4CSIRO, Deep Earth Imaging FSP, Kensington, Australia
- 5School of Engineering, University of Western Australia, Crawley, WA 6009, Australia
- 6Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
- 7Institute of Theoretical Physics, University of Warsawa, Warszawa, Poland
Abstract. Theoretical approaches to earthquake instabilities propose shear-dominated instabilities as a source mechanism. Here we take a fresh look at the role of possible volumetric instabilities preceding a shear instability. We investigate the phenomena that may prepare earthquake instabilities using the coupling of Thermo-Hydro-Mechano-Chemical reaction-diffusion equations in a THMC diffusion matrix. We show that the off-diagonal cross-diffusivities can give rise to a new class of waves known as cross-diffusion waves. Their unique property is that for critical conditions cross-diffusion waves can funnel wave energy into a quasi-stationary wave focus from large to small-scale. The equivalent extreme event in ocean waves and optical fibres leads to the appearance of rogue waves
and high energy pulses of light in lasers. In the context of hydromechanical coupling, a rogue wave would appear as a sudden fluid pressure spike on the future fault plane. This is here interpreted as a trigger for the ultimate (shear) seismic moment release.
Klaus Regenauer-Lieb et al.
Klaus Regenauer-Lieb et al.
Klaus Regenauer-Lieb et al.
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