  Liquids in oil-bearing porous media assume complex shapes that depend on the
reservoir characteristics and the wetting properties of the liquid. The wide
variation in the geometry of rock formations makes it difficult to accurately
predict the capillary pressure of small volumes of liquid and hence the
likelihood of being able to move it. Here we consider the situation in which a
small volume of liquid surrounds an upright cylinder on a flat substrate and
predict the shape that the liquid takes and its capillary pressure. We validate
our predictions by comparing with Surface Evolver simulations for a range of
contact angles and cylinder radii.
