  We introduce here the two-fractal model of earthquake dynamics. As the
fractured surfaces have self-affine properties, we consider the solid-solid
interface of the earth's crust and the tectonic plate below as fractal
surfaces. The overlap or contact area between the two surfaces give a measure
of the stored elastic energy released during a slip. The overlap between two
fractals change with time as one moves over the other and we show that the time
average of the overlap distribution follows a Gutenberg-Richter like power-law,
with similar exponent value.
