Properties of relative phase-permeability functions for different
characteristic configurations of a medium with anisotropic filtration
properties are studied using the numerical-analytical method. The
anisotropy may be related to fracturing created, e.g., as a result
of a brittle rupture. Correlations between tensors of the phase and
absolute permeabilities are analyzed on the assumption of capillary
equilibrium. Examples of relative phase-permeability functions are
obtained for media with orthotropic and monoclinic symmetry of filtration
properties. The influence of the property of connectivity on the
found functions is shown, and the dependence of the position of the
principal axes of the phase-permeability tensor on saturation is
also investigated. Thereby, the misalignment of the tensors of the
phase and absolute permeabilities is shown. The results qualitatively
agree with the experimental data.