要約

In this paper we explain the underlying concepts and reasoning behind a stochastic solute transport model (SSTM) for porous media developed without resorting to Fickian assumptions. The behavior of the model is explored for the different scales of experiments, and is compared with that of a deterministic dispersion model through the dispersion coefficient. The computational analysis shows that the SSTM is capable of mimicking advection-dispersion of a solute in a given porous media, and with the same values in SSTM parameters, variance, and correlation coefficient, multiscale behavior can be simulated. Dispersivity estimated for the concentration profiles from the SSTM are in the same neighborhood as the experimental data in the literature. This model shows promise in modeling advection-dispersion using the concepts in stochastic calculus.