Articles | Volume 11, issue 1
https://doi.org/10.5194/esd-11-1-2020
https://doi.org/10.5194/esd-11-1-2020
Research article
 | 
07 Jan 2020
Research article |  | 07 Jan 2020

Fractional governing equations of transient groundwater flow in unconfined aquifers with multi-fractional dimensions in fractional time

M. Levent Kavvas, Tongbi Tu, Ali Ercan, and James Polsinelli

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Latest update: 28 Mar 2024
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Short summary
After deriving a fractional continuity equation, a previously-developed equation for water flux in porous media was combined with the Dupuit approximation to obtain an equation for groundwater motion in multi-fractional space in unconfined aquifers. As demonstrated in the numerical application, the orders of the fractional space and time derivatives modulate the speed of groundwater table evolution, slowing the process with the decrease in the powers of the fractional derivatives from 1.
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