DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Markus Hilpert, Johns Hopkins University

**Title: ***
Incorporation of Dynamic Contact Angle into Models for Two-Phase Flow
in Porous Media
*

**Abstract:**
Traditional Darcy-scale theories for two-phase flow in porous media
assume that the capillary pressure is in equilibrium, even though
simple laboratory experiments have shown that this assumption may not
always be appropriate. In recent years, the traditional theory has
been modified in several ways in order to allow for a nonequilibrium
capillary pressure. None of these approaches represents the effects
of a dynamic contact angle that occurs at the pore scale.
I will present new analytical solutions for two-phase flow in
capillary tubes that account for a dynamic contact angle. I will also
present a theory that is based on the Green-Ampt approach and that
accounts for the effects of a dynamic contact angle at the Darcy
scale. This new theory describes column infiltration experiments that
cannot be fully described by the traditional Green-Ampt approach.

**Time:** Friday, Mar. 4, 2011, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491