Threshold Pressure in Capillaries with Polygonal Cross Section

The distribution of fluids in irregular capillary tubes: a new capillary model based on the single-corner capillary

“…The shape factor was a reasonable method and was applied by other researchers. Lago and Araujo (2001) also introduced a modified shape factor, multiplied by 4p, and demonstrated that G would reach its maximum value in a capillary with a circular cross section. Considering the presence of the contact angle in natural flow, Jia et al (2007) extended the work of Mason and Morrow to the case of two-phase flow with arbitrary contact angles, and they derived the distribution of the interface between the two immiscible fluids, controlled by the entry pressure, in a triangular capillary tube.…”

“…This means that the cross sections with shape factors between 0.07958 and 0.06250 are represented by a series of tubes mentioned previously. Irregular triangular tubes with the same shape factor can have geometrically different cross sections (Lago and Araujo 2001;Oren et al 1998).…”

Analytical computation of arc menisci configuration under primary drainage in convex capillary cross sections

“…As a result, we cannot get away with a second-degree polynomial equation. If, however, we follow Lago and Araujo [4] and also assume that no arc meniscus spans a reflex vertex, then our current analytical solution carries over to nonconvex cross sections with monotonically increasing radius function ρ(P). (Contrary to the solution by Lago and Araujo, an arc meniscus would still be allowed to span several convex vertices.)…”

“…6 is known as the MS-P equation, named after work by Mayer and Stowe [7] and Princen [9][10][11]. Lago and Araujo [4] came up with an analytical solution of this equation for arbitrary polygonal cross sections under the assumption that every arc meniscus occupies exactly one convex vertex.…”

On the estimation of CO 2 capillary entry pressure: Implications on geological CO 2 storage

“…where is the brine pressure, r is the radius of the pore throats in the cap rock,  is the brine/CO2 computed iteratively by a semi-analytical model Helland and Frette, 2010; 85 Zhou et al, 2013Zhou et al, , 2014 which is based on generalizing the Mayer and Stowe-Princen (MS-P) method 86 (Ma et al, 1996;Lago and Araujo, 2001) to allow for arbitrary pore shapes from images as tube cross- …”