Irregular Averaging of Filtration Transfer Processes in Heterogeneous Media

The modification of the asymptotic method of averaging operators with rapid ly oscillating coefficients (Sanchez-Palencia, 1980, Bakhvalov et al., 1984) is suggested for the media with heavy heterogeneity (great differences in permeability of separate areas). Several new models of the filtration processes generalizing a known phenomenological simulator (Barenblatt et al., 1960) are constructed with the aid of this method. The composite has been selected as a physical model, the components of which are a connected high-conductive system and periodically scattered isolated compact blocks. The system period l is muchless than macroscale L, so ε=1/L<<1.