Non-Fickian Transport in Fractured Media

Abstract:

Fractures are ubiquitous in geologic media, which typically exhibit erratic heterogeneity and multi-scale changes in effective parameters. The resultant contaminant transport is usually non-Fickian, challenging the fundamental Fick’s law used in hydrology. Interpreting and predicting the dynamics of fracture flow and transport is also critical to society in terms of both water supply and environmental protection. In this study, we propose tempered stable models based on the promising fractional engine to quantify anomalous super- and sub-diffusive dynamics observed in fractured media. Applications will also be used to check the feasibility of the physical models.