A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils
Аутори
Stanić, FilipDelage, Pierre
Tchiguirinskaia, Ioulia
Versini, Pierre-Antoine
Cui, Yu-Jun
Schertzer, Daniel
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
To describe the water retention and transfer properties of an unsaturated soil over the whole range of matric suction, it is necessary to account for both capillary and adsorption phenomena. Existing models combine well-known empirical functions for capillary water at lower suctions and more physically based ones for adsorptive water at higher suctions. To determine their full set of parameters, they however require different optimization procedures, among which those coming from capillary models are empirical. In this context, the main objective of this work is to develop a simple and robust physically based model of the water retention and transfer properties of unsaturated soils valid from saturation to oven dryness. To do so, new capillary-based water retention and hydraulic conductivity functions founded on the fractal approach have been derived from the pore size distribution, by means of the Young-Laplace law and Mualem's model. To describe adsorption phenomena, these functions ...are combined with those used in the Peters-Iden-Durner (PID) model, providing a model along the full range of suctions, with less parameters than the existing models. Our work also shows that some parameters are directly determined from the experimental grain size distribution data (the fractal dimension), or from the water retention data (air entry suction and residual water content), leaving only two parameters to be optimized. The model was successfully validated with respect to published experimental data from 10 different coarse, sandy, and clayey soils.
Извор:
Water Resources Research, 2020, 56, 12Издавач:
- Wiley
Колекције
Институција/група
GraFarTY - JOUR AU - Stanić, Filip AU - Delage, Pierre AU - Tchiguirinskaia, Ioulia AU - Versini, Pierre-Antoine AU - Cui, Yu-Jun AU - Schertzer, Daniel PY - 2020 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3365 AB - To describe the water retention and transfer properties of an unsaturated soil over the whole range of matric suction, it is necessary to account for both capillary and adsorption phenomena. Existing models combine well-known empirical functions for capillary water at lower suctions and more physically based ones for adsorptive water at higher suctions. To determine their full set of parameters, they however require different optimization procedures, among which those coming from capillary models are empirical. In this context, the main objective of this work is to develop a simple and robust physically based model of the water retention and transfer properties of unsaturated soils valid from saturation to oven dryness. To do so, new capillary-based water retention and hydraulic conductivity functions founded on the fractal approach have been derived from the pore size distribution, by means of the Young-Laplace law and Mualem's model. To describe adsorption phenomena, these functions are combined with those used in the Peters-Iden-Durner (PID) model, providing a model along the full range of suctions, with less parameters than the existing models. Our work also shows that some parameters are directly determined from the experimental grain size distribution data (the fractal dimension), or from the water retention data (air entry suction and residual water content), leaving only two parameters to be optimized. The model was successfully validated with respect to published experimental data from 10 different coarse, sandy, and clayey soils. PB - Wiley T2 - Water Resources Research T1 - A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils IS - 12 VL - 56 DO - 10.1029/2020WR027808 ER -
@article{ author = "Stanić, Filip and Delage, Pierre and Tchiguirinskaia, Ioulia and Versini, Pierre-Antoine and Cui, Yu-Jun and Schertzer, Daniel", year = "2020", abstract = "To describe the water retention and transfer properties of an unsaturated soil over the whole range of matric suction, it is necessary to account for both capillary and adsorption phenomena. Existing models combine well-known empirical functions for capillary water at lower suctions and more physically based ones for adsorptive water at higher suctions. To determine their full set of parameters, they however require different optimization procedures, among which those coming from capillary models are empirical. In this context, the main objective of this work is to develop a simple and robust physically based model of the water retention and transfer properties of unsaturated soils valid from saturation to oven dryness. To do so, new capillary-based water retention and hydraulic conductivity functions founded on the fractal approach have been derived from the pore size distribution, by means of the Young-Laplace law and Mualem's model. To describe adsorption phenomena, these functions are combined with those used in the Peters-Iden-Durner (PID) model, providing a model along the full range of suctions, with less parameters than the existing models. Our work also shows that some parameters are directly determined from the experimental grain size distribution data (the fractal dimension), or from the water retention data (air entry suction and residual water content), leaving only two parameters to be optimized. The model was successfully validated with respect to published experimental data from 10 different coarse, sandy, and clayey soils.", publisher = "Wiley", journal = "Water Resources Research", title = "A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils", number = "12", volume = "56", doi = "10.1029/2020WR027808" }
Stanić, F., Delage, P., Tchiguirinskaia, I., Versini, P., Cui, Y.,& Schertzer, D.. (2020). A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils. in Water Resources Research Wiley., 56(12). https://doi.org/10.1029/2020WR027808
Stanić F, Delage P, Tchiguirinskaia I, Versini P, Cui Y, Schertzer D. A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils. in Water Resources Research. 2020;56(12). doi:10.1029/2020WR027808 .
Stanić, Filip, Delage, Pierre, Tchiguirinskaia, Ioulia, Versini, Pierre-Antoine, Cui, Yu-Jun, Schertzer, Daniel, "A New Fractal Approach to Account for Capillary and Adsorption Phenomena in the Water Retention and Transfer Properties of Unsaturated Soils" in Water Resources Research, 56, no. 12 (2020), https://doi.org/10.1029/2020WR027808 . .