Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 21, issue 3
Articles | Volume 21, issue 3
https://doi.org/10.5194/hess-21-1547-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/hess-21-1547-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 21, issue 3
Research article
 | 
13 Mar 2017
Research article |  | 13 Mar 2017

Governing equations of transient soil water flow and soil water flux in multi-dimensional fractional anisotropic media and fractional time

M. Levent Kavvas, Ali Ercan, and James Polsinelli

Related authors

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
Earth Syst. Dynam., 11, 1–12, https://doi.org/10.5194/esd-11-1-2020,https://doi.org/10.5194/esd-11-1-2020, 2020
Short summary
Ensemble modeling of stochastic unsteady open-channel flow in terms of its time–space evolutionary probability distribution – Part 1: theoretical development
Alain Dib and M. Levent Kavvas
Hydrol. Earth Syst. Sci., 22, 1993–2005, https://doi.org/10.5194/hess-22-1993-2018,https://doi.org/10.5194/hess-22-1993-2018, 2018
Short summary
Ensemble modeling of stochastic unsteady open-channel flow in terms of its time–space evolutionary probability distribution – Part 2: numerical application
Alain Dib and M. Levent Kavvas
Hydrol. Earth Syst. Sci., 22, 2007–2021, https://doi.org/10.5194/hess-22-2007-2018,https://doi.org/10.5194/hess-22-2007-2018, 2018
Short summary
Maximization of the precipitation from tropical cyclones over a target area through physically based storm transposition
Mathieu Mure-Ravaud, Alain Dib, M. Levent Kavvas, and Elena Yegorova
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-665,https://doi.org/10.5194/hess-2017-665, 2018
Preprint withdrawn
Short summary
Fractal scaling analysis of groundwater dynamics in confined aquifers
Tongbi Tu, Ali Ercan, and M. Levent Kavvas
Earth Syst. Dynam., 8, 931–949, https://doi.org/10.5194/esd-8-931-2017,https://doi.org/10.5194/esd-8-931-2017, 2017
Short summary
More articles (4)

Related subject area

Subject: Vadose Zone Hydrology | Techniques and Approaches: Theory development
Mixed formulation for an easy and robust numerical computation of sorptivity
Laurent Lassabatere, Pierre-Emmanuel Peyneau, Deniz Yilmaz, Joseph Pollacco, Jesús Fernández-Gálvez, Borja Latorre, David Moret-Fernández, Simone Di Prima, Mehdi Rahmati, Ryan D. Stewart, Majdi Abou Najm, Claude Hammecker, and Rafael Angulo-Jaramillo
Hydrol. Earth Syst. Sci., 27, 895–915, https://doi.org/10.5194/hess-27-895-2023,https://doi.org/10.5194/hess-27-895-2023, 2023
Short summary
Signal contribution of distant areas to cosmic-ray neutron sensors – implications for footprint and sensitivity
Martin Schrön, Markus Köhli, and Steffen Zacharias
Hydrol. Earth Syst. Sci., 27, 723–738, https://doi.org/10.5194/hess-27-723-2023,https://doi.org/10.5194/hess-27-723-2023, 2023
Short summary
Prediction of the absolute hydraulic conductivity function from soil water retention data
Andre Peters, Tobias L. Hohenbrink, Sascha C. Iden, Martinus Th. van Genuchten, and Wolfgang Durner
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2022-431,https://doi.org/10.5194/hess-2022-431, 2023
Revised manuscript accepted for HESS
Short summary
Technical note: A sigmoidal soil water retention curve without asymptote that is robust when dry-range data are unreliable
Gerrit Huibert de Rooij
Hydrol. Earth Syst. Sci., 26, 5849–5858, https://doi.org/10.5194/hess-26-5849-2022,https://doi.org/10.5194/hess-26-5849-2022, 2022
Short summary
Compaction effects on evaporation and salt precipitation in drying porous media
Nurit Goldberg-Yehuda, Shmuel Assouline, Yair Mau, and Uri Nachshon
Hydrol. Earth Syst. Sci., 26, 2499–2517, https://doi.org/10.5194/hess-26-2499-2022,https://doi.org/10.5194/hess-26-2499-2022, 2022
Short summary
More articles (19)

Cited articles

Baumer, B. and Meerschaert, M. M.: Fractional diffusion with two time scales, Physica A, 373, 237–251, 2007.
Baumer, B., Benson, D., and Meerschaert, M. M.: Advection and dispersion in time and space, Physica A, 350, 245–262, 2005.
Bear, J.: Hydraulics of groundwater, McGraw-Hill Inc., New York, 1979.
Benson, D. A., Wheatcraft, S. W., and Meerschaert, M. M.: Application of a fractional advection-dispersion equation, Water Resour. Res., 36, 1403–1412, 2000a.
Benson, D. A., Wheatcraft, S. W., and Meerschaert, M. M.: The fractional-order governing equation of Levy motion, Water Resour. Res., 36, 1413–1423, 2000b.
More articles (30)
Download
Short summary
In this study dimensionally consistent governing equations of continuity and motion for transient soil water flow and water flux in fractional time and in fractional multiple space dimensions in anisotropic media are developed. By the introduction of the Brooks–Corey constitutive relationships, an explicit form of the equations is obtained. The developed governing equations, in their fractional time but integer space forms, show behavior consistent with the previous experimental observations.
Read more
Special issue
Modeling hydrological processes and changes