Interface approximation of Darcy flow in a narrow channel
Fernando A. Morales, Ralph E. Showalter · Mathematical Methods in the Applied Sciences · 2012
A mixed formulation is introduced for the singular problem of Darcy flow in a porous medium in a region containing a narrow fracture or channel with width and high permeability . The solution converges as ε → 0 to that of Darcy flow coupled to tangential flow on the lower‐dimensional interface or boundary. Copyright © 2012 John Wiley & Sons, Ltd.