...K. S. Schmid; N.. Alyafei; S.. Geiger; M. J. Blunt Summary We present analytical solutions for capillary-controlled displacement in one dimension by use of fractional-flow theory. We show how to construct solutions with a spreadsheet that can be used for the analysis of experiments as well...

... that the flow rate is inversely proportional to the square root of time since the beginning of production. The method is an extension of the semianalytic solution proposed by Schmid et al. ( 2011 ) for spontaneous imbibition; we replace the solution for saturation with one for pressure, while extending...