Abstract
Solute transport in the fractured porous confined aquifer is modeled by the advection-dispersion equation with fractional time derivative of orderγy, which may vary from 0 to 1. Accounting for diffusion in the surrounding rock mass leads to the introduction of an additional fractional time derivative of order 1/2 in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties are modeled and analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 1157-1163 |
| Number of pages | 7 |
| Journal | Journal of Fluids Engineering, Transactions of the ASME |
| Volume | 129 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2007 Sept |
Keywords
- Closed-form solutions
- Contamination
- Fractional-in-time derivative
- Fractured aquifer
- Porous blocks
- Solute transport