Structural and flow properties of binary media generated by fractional Brownian motion models

In the present paper, the structural and flow properties of binary media ge nerated by two-dimensional lattices that follow fractional Brownian motion statistics are studied. A modification of the midpoint displacement and ran dom addition method is employed in order to generate multicell binary media with sizes that are considerably larger than the correlation length of the medium. Several structural properties, such as the autocorrelation functio n, the surface area, and the percolation threshold, are studied for differe nt values of porosity and degree of correlation. In addition, transport pro perties are investigated in the above media, by solving numerically the mom entum and continuity equations, to determine the absolute permeability of t he medium in directions parallel and normal to the fractional Brownian moti on (fBm) plane. It is found that multicell fBm porous media possess very in teresting structural properties that are functions of the Hurst exponent an d porosity, and are independent of the lattice size, in contrast to the tra ditional single-cell fBm media. In addition, they exhibit stronger structur al correlation, lower specific surface area, higher percolation threshold, and lower permeabilities than those of the corresponding single-cell porous media. [S1063-651X(99)01506-8].