CLOSED-FORM SOLUTION FOR THE RECONSTRUCTION PROBLEM IN POROUS-MEDIA

The statistical reconstruction of lattice models of real porous media is one of the basic engineering problems in the theory of porous struc ture and has a variety of applications in the study of transport in mi neral processing, and in material characterization. A systematic analy sis of the reconstruction problem of porous media is presented, as wel l as a closed-form solution. The solution is presented in the form of a linear filter acting on Gaussian processes by means of a superpositi on of elementary correlated processes with prescribed correlation prop erties, and in the form of a memoryless process recalling the theory o f Khinchin on the properties of correlation functions. The connection of this approach with models of correlated percolation is also discuss ed.