Mechanics of Fluid Flow in Coupled Free and Porous Domain
Fluid flow problems which involve coupled free (fluid) and porous domains are frequently found in hydro-environmental conditions, e.g., interactions between underground lake-saturated subsurface; flow in large fissures, vuggy aquifers and, others. One major lacunas found in the mathematical models of combined free and porous flow domains in the subsurface is that the models impose continuity of the flow/transport parameters to describe the flow behaviour at the interfaces between the two zones. Prescription of such interfacial conditions cannot always be physically justified, as demonstrated by experiments, and, may result in ill posed mathematical formulation of the problem. This talk will present the speakers attempt on developing numerical models of coupled free and porous flow for the subsurface. It is well known that, in some cases, fluid circulates in coupled domains (flow cells) because of variable fluid pressure distribution. The development of the flow cells will be discussed along with the implications of media heterogeneities on these flow patterns.