Academic Commons


Model quakes in the two-dimensional wave equation

Shaw, Bruce E.

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.


Also Published In

Journal of Geophysical Research: Solid Earth

More About This Work

Academic Units
Lamont-Doherty Earth Observatory
Published Here
June 18, 2013
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.