  A wide variety of real random composites can be studied by means of
prototypes of multiphase microstructures with a controllable spatial
inhomogeneity. To create them, we propose a versatile model of randomly
overlapping super-spheres of a given radius and deformed in their shape by the
parameter p. With the help of the so-called decomposable entropic measure, a
clear dependence of the phase inhomogeneity degree on the values of the
parameter p is found. Thus, a leading trend in changes of the phase
inhomogeneity can be forecast. It makes searching for possible
structure/property relations easier. For the chosen values of p, examples of
two and three-phase prototypical microstructures show how the phase
inhomogeneity degree evolves at different length scales. The approach can also
be applied to preparing the optimal starting configurations in reconstructing
real materials.
