  A method of modelling the three-dimensional microstructure of random
isotropic two-phase materials is proposed. The information required to
implement the technique can be obtained from two-dimensional images of the
microstructure. The reconstructed models share two-point correlation and
chord-distribution functions with the original composite. The method is
designed to produce models for computationally and theoretically predicting the
effective macroscopic properties of random materials (such as electrical and
thermal conductivity, permeability and elastic moduli). To test the method we
reconstruct the morphology and predict the conductivity of the well known
overlapping sphere model. The results are in very good agreement with data for
the original model.
