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Shaw 1997
Shaw, B.E. (1997). Model quakes in the two-dimensional wave equation. Journal of Geophysical Research 102: doi: 10.1029/97JB02786. issn: 0148-0227.

This paper presents a new two-dimensional wave equation model of an earthquake fault. The model generates a complex sequence of slip events on a fault with uniform properties when there is a frictional weakening instability. Previous models of long faults in one and two dimensions had the driving in the bulk, giving the Klein-Gordon equation in the bulk. Here, I place the driving on the boundary, giving the wave equation in the bulk. The different models are, however, shown to behave similarly. I examine a whole range of frictions, with slip weakening as one end-member case and velocity weakening as the other end-member case, and show that they display a generic type of slip complexity: there is an exponential distribution of the largest events and, for sufficient weakening, a power law distribution of small events. With the addition of a viscous-type friction term on the fault, I show that the results are independent of grid resolution, indicating that continuum limit complexity is achieved. ¿ 1997 American Geophysical Union

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Abstract

Keywords
Seismology, Earthquake dynamics and mechanics, Seismology, Theory and modeling, Mathematical Geophysics, Nonlinear dynamics, Mathematical Geophysics, Chaos
Journal
Journal of Geophysical Research
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Publisher
American Geophysical Union
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