  The vortex pair phase field is calculated, through a solution of the Laplace
equation, for a superfluid film adsorbed on the surface of a model 3D connected
porous medium. A number of different vortex-antivortex pair configurations are
considered as functions of the porosity or an aspect ratio of the model porous
structure. The calculated results give the energy of a pair for motion of the
vortex cores around a pore or a solid rod as well as for the string
configuration corresponding to a linear separation of the vortex pair through
the porous medium.
