The Role of Probabilistic Approaches to Transport Theory in Heterogeneous Media

摘要: A physical picture of contaminant transport in highly heterogeneous porous media is presented. In any specific formation the associated governing equation valid at time and space scale. Furthermore, advective dispersive contributions are inextricably combined. The ensemble average basic equivalent to a continuous random walk (CTRW). connection between CTRW equation, limiting case familiar advection-dispersion (ADE) derived. theory applied results laboratory experiments, field observations, simulations fracture networks. All these manifest dominant non-Gaussian features transport, over different scales, which accounted for quantitatively by theory. key parameter β controlling entire shape plume evolution breakthrough curves advanced as more useful characterization than dispersion tensor, based on moments plume. role probabilistic approaches, such CTRW, appraised context interplay spatial scales levels uncertainty. We then discuss hybrid approach, uses knowledge non-stationary aspects site larger scale (trends) with treatment unresolved structure smaller (residues).