Reply to comment by S. A. Shapiro on 'Role of seepage forces on seismicity triggering'

摘要

Recently it has been argued that temporal evolution of seismicity triggering fronts is best described by a cube-root with time,t~(1/3), which is predicted for linear poroelastic rock.For real randomly distributed (heterogeneous) rock t~(1/2) is more appropriate,because a linear diffusion is a dominant triggering-front mechanism [Shapiro, 2012].In this reply I demonstrate that as long as Coulomb stress transfer is the valid triggering mechanism [King et al.,1994;Stein, 1999;Freed,2005;Steacv et al., 2005] and diffusion is linear in heterogeneous rock [Shapiro, 2012], then the seismicity triggering front should be scaled as t~(1/x) with x≥2.Thus,for any observed seismicity front scaling with x > 2 one cannot conclude that the diffusion is nonlinear, even in the case when poroelastic effects are neglected. Also, I demonstrate that in poroelastic rock the seismicity triggering front can be scaled with coefficient 3≥x > 2.