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

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2017
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Abstract
Using fractional calculus, a dimensionally consistent governing equation of transient, saturated groundwater flow in fractional time in a multi-fractional confined aquifer is developed. First, a dimensionally consistent continuity equation for transient saturated groundwater flow in fractional time and in a multi-fractional, multidimensional confined aquifer is developed. For the equation of water flux within a multi-fractional multidimensional confined aquifer, a dimensionally consistent equation is also developed. The governing equation of transient saturated groundwater flow in a multi-fractional, multidimensional confined aquifer in fractional time is then obtained by combining the fractional continuity and water flux equations. To illustrate the capability of the proposed governing equation of groundwater flow in a confined aquifer, a numerical application of the fractional governing equation to a confined aquifer groundwater flow problem was also performed.
Reference Key
kavvas2017earthfractional Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. L. Kavvas;T. Tu;A. Ercan;J. Polsinelli
Journal itinéraires
Year 2017
DOI
10.5194/esd-8-921-2017
URL
https://www.earth-syst-dynam.net/8/921/2017/esd-8-921-2017.pdf
Keywords
sciencegeologydynamic and structural geology

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