NONLOCAL DISPERSION IN MEDIA WITH CONTINUOUSLY EVOLVING SCALES OF HETEROGENEITY

General nonlocal diffusive and dispersive transport theories are deriv ed from molecular hydrodynamics and associated theories of statistical mechanical correlation functions, using the memory function formalism and the projection operator method. Expansion approximations of a spa tially and temporally nonlocal convective-dispersive equation are intr oduced to derive linearized inverse solutions for transport coefficien ts. The development is focused on deriving relations between the frequ ency- and wave-vector-dependent dispersion tensor and measurable quant ities. The resulting theory is applicable to porous media of fractal c haracter.