  Conductivity of unsaturated porous media to fluids is of theoretical and
applied interest to mathematicians, physicists, and chemical, petroleum, civil
and agricultural engineers. We explore the expression of unsaturated relative
conductivity equations as a regularized incomplete beta function, which implies
a beta distribution of the variable of interest. A generalized solution for
$n>1$ and $m>0$ is presented. The solution can be implemented without
difficulties in most programming languages and simulation software.
