The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants

TL;DR

This paper compares fractional derivative and Monte Carlo methods to model anomalous subdiffusion of contaminants in heterogeneous media, aiming to improve understanding of radioactive tracer behavior.

Contribution

It provides a comparative analysis of two modeling approaches for anomalous diffusion, enhancing insights into contaminant transport in complex media.

Findings

Fractional derivative and Monte Carlo methods yield consistent results.

The approaches reveal subdiffusive behavior of contaminants.

Insights into radioactive tracer dynamics in heterogeneous environments.

Abstract

This paper deals with a comparison of Fractional Derivative and Monte carlo approaches to the modelling of anomalous diffusion in the field of particle transport. The goal of this research is to provide a better insight on the behavior of (radioactive) contaminant tracers when flowing through heterogeneous media.