Articles | Volume 25, issue 10
https://doi.org/10.5194/hess-25-5337-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-25-5337-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Preferential pathways for fluid and solutes in heterogeneous groundwater systems: self-organization, entropy, work
Karlsruhe Institute of Technology (KIT), Institute of Water and River Basin Management, Karlsruhe, Germany
Ralf Loritz
Karlsruhe Institute of Technology (KIT), Institute of Water and River Basin Management, Karlsruhe, Germany
Yaniv Edery
Technion – Israel Institute
of Technology, Haifa, Israel
Brian Berkowitz
Department of Earth and Planetary Sciences, Weizmann Institute of Science, Rehovot, Israel
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Cited
28 citations as recorded by crossref.
- Quantifying anomalous chemical diffusion through disordered porous rock materials A. Rajyaguru et al.
- Optimization of Aquifer Monitoring through Time-Lapse Electrical Resistivity Tomography Integrated with Machine-Learning and Predictive Algorithms V. Giampaolo et al.
- Shannon entropy of transport self-organization due to dissolution–precipitation reaction at varying Peclet numbers in initially homogeneous porous media E. Shavelzon & Y. Edery
- Linking chemical weathering, evolution of preferential flow paths and transport self-organization in porous media using non-equilibrium thermodynamics E. Shavelzon et al.
- Catchment transit time variability with different SAS function parameterizations for the unsaturated zone and groundwater H. Türk et al.
- On the Control of Soil Heterogeneity, Péclet Number and Spatially Variable Diffusion Over Unsaturated Transport C. Henri & E. Diamantopoulos
- Understanding the hydrological response of a headwater-dominated catchment by analysis of distributed surface–subsurface interactions I. Özgen-Xian et al.
- SciKit-GStat Uncertainty: A software extension to cope with uncertain geostatistical estimates M. Mälicke et al.
- Direct observation of coexisting local and nonlocal turbulence in a magnetically confined plasma N. Kenmochi et al.
- Uncertainty quantification of CO2 plume migration in highly channelized aquifers using probabilistic convolutional neural networks L. Feng et al.
- HESS Opinions: Are soils overrated in hydrology? H. Gao et al.
- Predicting the wash behaviour of filter cakes with inhomogeneous cake geometry on a macroscopic scale F. Sauer et al.
- Probabilistic identification of Preferential Groundwater Networks M. Schiavo et al.
- Experimental Study on the Permeation and Membrane-Formation Characteristics of Slurry in Sandy-Clay Composite Strata 铭. 袁
- Flow recession behavior of preferential subsurface flow patterns with minimum energy dissipation J. Strüven & S. Hergarten
- Probabilistic delineation of subsurface connected pathways in alluvial aquifers under geological uncertainty M. Schiavo
- Hillslope subsurface flow is driven by vegetation more than soil properties in colonized valley moraines along a humid mountain elevation F. Wang et al.
- Nitrogen cycle pattern variations during seawater-groundwater-river interactions enhance the nitrogen availability in the coastal earth critical zone G. Xiong et al.
- On the relevance of molecular diffusion for travel time distributions inferred from different water isotopes E. Zehe et al.
- Geometry-Induced Capillary Rise and Directional Flow in Porous Lattice Structures Y. Choi et al.
- Energy efficiency in transient surface runoff and sediment fluxes on hillslopes – a concept to quantify the effectiveness of extreme events S. Schroers et al.
- Water Storage Capacity of Ordovician Limestone Aquifer and Hydrogeological Response Mechanism of Deep Reinjection in North China J. Fan et al.
- Transport and retention mechanism of CdS nanoparticles in layered heterogeneous porous media: Coupled regulation of interfacial heterogeneity and ionic strength X. Liu et al.
- Multi-scale characterization of the hydromechanical behavior of a heterogeneous porous sandstone using neutron and X-ray tomographies F. Vieira Lima et al.
- Upscaling colloidal transport from the column to the field: The value of a large gravel column experiment as an intermediate step M. Stevenson et al.
- Travel time and energy dissipation minima for potential flows in heterogeneous geologic media S. Hansen & D. O'Malley
- Patterns of Groundwater Flow Systems and Travel Times Controlled by Leaking Streams, Evapotranspiration, and Pumping Wells in the Kongqi River Basin, China Q. Xu & X. Wang
- Slope Aspect Differentiation of the Freeze–Thaw Process of Seasonally Frozen Soil in the Great Xing’an Mountain and Its Response to Climate Warming H. Jiang et al.
28 citations as recorded by crossref.
- Quantifying anomalous chemical diffusion through disordered porous rock materials A. Rajyaguru et al.
- Optimization of Aquifer Monitoring through Time-Lapse Electrical Resistivity Tomography Integrated with Machine-Learning and Predictive Algorithms V. Giampaolo et al.
- Shannon entropy of transport self-organization due to dissolution–precipitation reaction at varying Peclet numbers in initially homogeneous porous media E. Shavelzon & Y. Edery
- Linking chemical weathering, evolution of preferential flow paths and transport self-organization in porous media using non-equilibrium thermodynamics E. Shavelzon et al.
- Catchment transit time variability with different SAS function parameterizations for the unsaturated zone and groundwater H. Türk et al.
- On the Control of Soil Heterogeneity, Péclet Number and Spatially Variable Diffusion Over Unsaturated Transport C. Henri & E. Diamantopoulos
- Understanding the hydrological response of a headwater-dominated catchment by analysis of distributed surface–subsurface interactions I. Özgen-Xian et al.
- SciKit-GStat Uncertainty: A software extension to cope with uncertain geostatistical estimates M. Mälicke et al.
- Direct observation of coexisting local and nonlocal turbulence in a magnetically confined plasma N. Kenmochi et al.
- Uncertainty quantification of CO2 plume migration in highly channelized aquifers using probabilistic convolutional neural networks L. Feng et al.
- HESS Opinions: Are soils overrated in hydrology? H. Gao et al.
- Predicting the wash behaviour of filter cakes with inhomogeneous cake geometry on a macroscopic scale F. Sauer et al.
- Probabilistic identification of Preferential Groundwater Networks M. Schiavo et al.
- Experimental Study on the Permeation and Membrane-Formation Characteristics of Slurry in Sandy-Clay Composite Strata 铭. 袁
- Flow recession behavior of preferential subsurface flow patterns with minimum energy dissipation J. Strüven & S. Hergarten
- Probabilistic delineation of subsurface connected pathways in alluvial aquifers under geological uncertainty M. Schiavo
- Hillslope subsurface flow is driven by vegetation more than soil properties in colonized valley moraines along a humid mountain elevation F. Wang et al.
- Nitrogen cycle pattern variations during seawater-groundwater-river interactions enhance the nitrogen availability in the coastal earth critical zone G. Xiong et al.
- On the relevance of molecular diffusion for travel time distributions inferred from different water isotopes E. Zehe et al.
- Geometry-Induced Capillary Rise and Directional Flow in Porous Lattice Structures Y. Choi et al.
- Energy efficiency in transient surface runoff and sediment fluxes on hillslopes – a concept to quantify the effectiveness of extreme events S. Schroers et al.
- Water Storage Capacity of Ordovician Limestone Aquifer and Hydrogeological Response Mechanism of Deep Reinjection in North China J. Fan et al.
- Transport and retention mechanism of CdS nanoparticles in layered heterogeneous porous media: Coupled regulation of interfacial heterogeneity and ionic strength X. Liu et al.
- Multi-scale characterization of the hydromechanical behavior of a heterogeneous porous sandstone using neutron and X-ray tomographies F. Vieira Lima et al.
- Upscaling colloidal transport from the column to the field: The value of a large gravel column experiment as an intermediate step M. Stevenson et al.
- Travel time and energy dissipation minima for potential flows in heterogeneous geologic media S. Hansen & D. O'Malley
- Patterns of Groundwater Flow Systems and Travel Times Controlled by Leaking Streams, Evapotranspiration, and Pumping Wells in the Kongqi River Basin, China Q. Xu & X. Wang
- Slope Aspect Differentiation of the Freeze–Thaw Process of Seasonally Frozen Soil in the Great Xing’an Mountain and Its Response to Climate Warming H. Jiang et al.
Saved (final revised paper)
Latest update: 11 May 2026
Short summary
This study uses the concepts of entropy and work to quantify and explain the emergence of preferential flow and transport in heterogeneous saturated porous media. We found that the downstream concentration of solutes in preferential pathways implies a downstream declining entropy in the transverse distribution of solute transport pathways. Preferential flow patterns with lower entropies emerged within media of higher heterogeneity – a stronger self-organization despite a higher randomness.
This study uses the concepts of entropy and work to quantify and explain the emergence of...