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https://doi.org/10.5194/esd-2017-47
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
09 Jun 2017
Review status
This discussion paper is a preprint. A revision of this manuscript was accepted for the journal Earth System Dynamics (ESD) and is expected to appear here in due course.
Fractional Governing Equations of Transient Groundwater Flow in Confined Aquifers with Multi-Fractional Dimensions in Fractional Time
M. Levent Kavvas, Tongbi Tu, Ali Ercan, and James Polsinelli Hydrologic Research Laboratory, Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, USA
Abstract. A dimensionally-consistent governing equation of transient, saturated groundwater flow in fractional time in a multi-fractional confined aquifer is developed. First, a continuity equation for transient groundwater flow in fractional time and in a multi-fractional, multi-dimensional confined aquifer is developed. An equation of water flux is also developed. The governing equation of transient groundwater flow in a multi-fractional, multi-dimensional confined aquifer in fractional time is then obtained by combining the fractional continuity and water flux equations.

Citation: Kavvas, M. L., Tu, T., Ercan, A., and Polsinelli, J.: Fractional Governing Equations of Transient Groundwater Flow in Confined Aquifers with Multi-Fractional Dimensions in Fractional Time, Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2017-47, in review, 2017.
M. Levent Kavvas et al.
Interactive discussionStatus: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version      Supplement - Supplement
 
RC1: 'Review', Anonymous Referee #1, 12 Jul 2017 Printer-friendly Version 
 
RC2: 'Review Report', Anonymous Referee #2, 24 Jul 2017 Printer-friendly Version 
 
AC1: 'Response to the comments of anonymous referees- ESD-2017-47', M.L. Kavvas, 31 Jul 2017 Printer-friendly Version 
M. Levent Kavvas et al.
M. Levent Kavvas et al.

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Short summary
A dimensionally-consistent governing equation of transient, saturated groundwater flow in fractional time in a multi-fractional confined aquifer is developed. First a continuity equation for groundwater flow in fractional time and in a multi-fractional, multi-dimensional confined aquifer is developed. An equation of water flux is also developed. The governing equation of transient groundwater flow in a multi-fractional, multi-dimensional confined aquifer in fractional time is then obtained.
A dimensionally-consistent governing equation of transient, saturated groundwater flow in...
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