Cr. Myers et Js. Langer, RUPTURE PROPAGATION, DYNAMIC FRONT SELECTION, AND THE ROLE OF SMALL LENGTH SCALES IN A MODEL OF AN EARTHQUAKE FAULT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3048-3056
We examine a model of rupture propagation on a one-dimensional earthqu
ake fault, focusing both on the role of small length scales in control
ling the dynamics and on the mechanisms by which propagating modes are
selected. In order to obtain a well-defined continuum theory, we add
a small amount of viscous dissipation to a previously studied model in
which rupture propagation was controlled by a finite-difference grid
spacing. We find that the dynamically selected rupture mode is one in
which nearly free slip occurs in a pulse whose speed and shape are det
ermined by a novel selection mechanism.