We proposed the mathematical model and concrete example of how to use the notion of functional derivatives in order to arrive at a macroscopic equation for dispersion in disordered media. In the sake of simplicity, we considered the case of random process being a Gaussian process.
Cite this paper
Logvinova, K. (2013) Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media. Applied Mathematics
, 1412-1416. doi: 10.4236/am.2013.410191
 K. Logvinova and O. Kozyrev, “Models for the Average of the Solutions to a P.D.E. with Stochastic Coefficients,” European Journal of Scientific Research, Vol. 45, No. 3, 2010, pp. 383-390.
 O. Kozyrev and K. Logvinova, “Small Scale Models for the Spreading of Matter in Disordered Porous Media,” European Journal of Scientific Research, Vol. 45, No. 1, 2010, pp. 64-78.
 O. Kozyrev, “Diffusion Fractional Models for a Complex Porous Media in a Random Force Field for 3D Case,” European Journal of Scientific Research, Vol. 95, No. 3, 2013, pp. 436-443.
 V. I. Klyatskin “Waves and Stochastic Equations in Randomly Inhomogeneous Media,” Edition de Physique, Paris, 1985.
 K. Logvinova and M.-C. Neel, “A Fractional Equation for Anomalous Diffusion in a Randomly Heterogeneous Po rous Media,” Chaos, Vol. 14, No. 4, 2004, pp. 982-987.
 E.A. Novikov, “Functionals and Random Force Methods for Turbulence Theory,” Journal of Experimental and Theoretical Physics, Vol. 47, No. 5, 1964, p. 1919.
 M. Donsker, “On Function Space Integrals,” Proceedings of a Conference on the Theory and Applications of Analysis in Function Space, M.II. Press, Cambridge, 1964, pp. 17-30.
 K. Furutsu, “On the Statistical Theory of Electromagnetic Waves in a Fluctuating Medium,” Journal of Research of the National Bureau of Standards, Vol. 67D, No. 3, 1963, p. 303.