We consider a new model for invasion in which the mechanism is also dependent on the fluid's filling of neighboring pores. During the invasion process, it is assumed that the resistance of a pore for invasion may be weakened depending on the fluids’ configurations of its nearest-neighbor...

Generic three-dimensional (3D) exact relations were found recently (Phys. Rev. B (2002) 184416) between macroscopic or bulk effective moduli of composite systems with related microstructures which are, in general, different. As an example of possible application of these relations, a new...