## Weekly Seminar: Spring 2008

**Date: March 7 **

Time: 11:00 AM

Location: Maryland Hall 110

Speaker: Dr. W. Brent Lindquist

SUNY Stony Brook

Title:*"The geometry of primary drainage"*

### Abstract

We show that arc menisci configuration under primary drainage in capillary
tube cross sections and, by extension, in throats in the void structure
of rock and soil, can be understood in terms of the computational geometry
theory of medial axis analysis. The solution for arc meniscus configuration
is developed for cross sections of arbitrary, simply connected polygonal
shape at both entry- and over-pressure values during primary drainage
for arbitrary values of wetting angle. Using this solution technique,
we have obtained highly accurate solutions of entry pressure arc meniscus
radius for over 21,500 throats obtained from analysis of computed tomography
images in a suite of 4 Fontainebleau core samples ranging from 7.5%
to 22% porosity. We show that the ratio A/P, of throat area to throat
perimeter, is an excellent predictor of entry pressure meniscus radius
(and hence entry pressure) for primary drainage for real pores, while
inscribed radius and area equivalent radius over-predict entry pressure
meniscusradius by factors of 1.5 to 3, and are consequently poor predictors.

# Upcoming Seminar

FALL BREAK

Oct 21, 2016