We propose an S 1 S 2 I S 2 S 1 junction model to describe the intergrain junctions of compounds with intrinsic mixtures of two superconductor phases. Considering the polycrystalline compound Hg,Re-1223 as a representative case, fitting using this model of a junction in J c as a function of applied magnetic field μ 0 H proves to be better than a simple SI S junction model for μ 0 H > 1.0 mT and T ≈ T C .