Generalized diffusion-advection schemes and dispersive sedimentation: A fractional approach

We consider advection processes following anomalous statistics on an effect ive transport level, within the framework of fractional kinetic equations. We discuss different realistic situations such as Galilei variant and invar iant advection, as well as dispersive sedimentation processes. Exact analyt ical solutions for the plume and the moments characterizing these transport processes are calculated. We introduce an estimation for the breakthrough of the tracer in the dispersive processes.