PORE 2-4: Capillarity In Porous Media At Different Scales
In this course, a systematic approach is taken to the understanding of capillarity in porous media on different scales. Current definitions of capillary pressure, which have mainly an empirical character, are revisited and it is shown that they are special cases of a more general theory of capillarity.
First, a brief review of single-phase flow in porous media at pore scale and macroscale is given. Hagen-Poiseuille formula and Darcy’s law are introduced. Next, starting from molecular level, the reasons for existence of fluid-fluid interfaces and surface tension are explained. Then, concepts of hydrophilicity and capillarity are introduced. Afterward, two-phase at pore scale and capillary rise are discussed. Next, capillary pressure at the macroscale (Darcy scale) is introduced and its link to pore-scale processes is explained. Finally, current macroscale theory of two-phase flow is presented and its shortcomings are discussed in detail. Advanced theories of two-phase flow are introduced that overcome those shortcomings. On the last day, research questions of participants related to capillarity and two-phase flow will
be discussed.