M. Grigoriu, ESTIMATION OF EFFECTIVE CONDUCTIVITY OF RANDOM HETEROGENEOUS MEDIA BYDIFFUSION-PROCESSES, Journal of applied physics, 82(9), 1997, pp. 4346-4349
A new Monte Carlo (MC) simulation method is developed for estimating t
he effective conductivity of random heterogeneous media. The method is
based on the Ito formula for differentiable functions of diffusion pr
ocesses, the similarity of the functional form of the generators of th
ese processes and the operators of the steady state diffusion equation
, smooth approximations of the conductivity field of multiphase hetero
geneous media, and MC simulation. The article establishes the theoreti
cal framework of the proposed method and gives estimates of the effect
ive conductivity for a one-dimensional random heterogeneous medium wit
h two phases. (C) 1997 American Institute of Physics. [S0021-8979(97)0
2521-8].