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Positive feedback, memory, and the predictability of earthquakes
1Department of Earth Sciences, University of Southern California, Los Angeles, CA 90089-0740, USA. sammis@usc.edu
Summary
Large earthquakes may exhibit "finite-time singularities" due to positive feedback loops accelerating seismic release. This feedback mechanism, driven by increasing tectonic stress, is explored through a new earthquake model.
Area of Science:
- Geophysics
- Seismology
- Complex Systems
Background:
- The
- critical point
- concept in seismology describes a state preceding large earthquakes.
- This concept can be extended using ,
- finite-time singularities ,
- theory to explain accelerated seismic release.
Purpose of the Study:
- To review and expand the
- critical point ,
- concept for large earthquakes.
- To investigate the role of positive feedback mechanisms in accelerated seismic release.
- To present and analyze key mechanisms driving seismic positive feedback.
Main Methods:
- Review of the
- critical point ,
- concept in seismology.
- Application of
- finite-time singularities ,
- framework to earthquake processes.
- Analytical solution of a simplified model demonstrating geometrical positive feedback.
Main Results:
- Accelerated seismic release near a critical point is explained by positive feedback.
- The seismic activity rate positively influences its own release rate.
- A model shows how tectonic stress fragments the stress shadow of previous earthquakes, enhancing feedback.
Conclusions:
- Finite-time singularities provide a framework for understanding accelerated seismic release.
- Positive feedback mechanisms are crucial drivers of seismic activity nearing critical points.
- The interplay between tectonic stress and seismic event interactions is key to earthquake dynamics.