Any experiment in Heterogeneous medium when being performed and analyzed needs a theoretical model to understand it. Those
analogs of modeling used for homogeneous medium are not applicable for heterogeneous media. The way of VAT heterogeneous media
experiments treatment is in its initial stage now. Probably the first publication regarding the need to make experiments
involving a heterogeneous medium supported by the heterogeneous theory along with some analysis of contemporary problems can be
found in -
Transport Phenomena in Heterogeneous Media: Experimental Data
Reduction and Analysis ( 793k)
In microscale thermal physics the effective coefficients are the first thing to take into account when engineering problem arises. Meanwhile, the methodologies and data reduction methods and models are taken from homogeneous physics. The simple morphologies like
those used to be studied with the two techniques, one of them is the Scanning Laser Thermoelectric Microscope (SLTM)
while another is the 3
method

method measurement physical model for multilayer film or superlattice
A on the substrate Ballow to obtain more strict approach and the VAT based models, which we tried to reach in -
ANALYSIS OF MEASURING TECHNIQUES OF SUPERLATTICES THERMAL CONDUCTIVITY ( 414k)
More on heterogeneous VAT experiments see in Experimental Science in Heterogeneous Media