Behzad Ghanbarian‐Alavijeh

Wright State University

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A. G. Hunt

Wright State University

Abdolmajid Liaghat

University of Tehran

Humberto Millán

University of Granma

Guanhua Huang

China Agricultural University

David F. Dominic

Wright State University

Yasser Abbasi

University of Twente

Fariborz Abbasi

Agricultural Research & Education Organization

José Miguel Rodríguez

Tecnológico de Estudios Superiores de Valle de Bravo

G. Llerena

Universidad Estatal Amazónica

I. García‐Fornaris

University of Granma

Cooperative Institutions

Wright State University

University of Tehran

University of Granma

Soil Conservation and Watershed Management Research

Universidad Estatal Amazónica

China Agricultural University

Institute of Psychology, Chinese Academy of Sciences

Northwest Institute of Eco-Environment and Resources

Chinese Academy of Sciences

Lanzhou Jiaotong University

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The Kozeny‐Carman Equation with a Percolation Threshold

Ground Water (2012)

Lee Brenson Porter Robert W. Ritzi Lawrence J. Mastera David F. Dominic Behzad Ghanbarian‐Alavijeh

A procedure has been developed for calculating permeability (k) from the Kozeny-Carman equation, a procedure that links ideas from percolation theory with the ideas of Koltermann and Gorelick (1995) and Esselburn et al. (2011). The approach focuses on the proportion of coarser pores that are occupied by finer sediments relative to a percolation threshold proportion (ω(c)). If the proportion occupied is below ω(c), then the unoccupied coarser pores percolate. Otherwise they do not percolate. Following the ideas of Koltermann and Gorelick (1995), the effective grain-size term in the Kozeny-Carman equation is calculated using the geometric mean if the unoccupied coarse pores percolate, and using the harmonic mean if otherwise. Following ideas of Esselburn et al. (2011), this approach is implemented by evaluating the potential for grains in each size category to occupy pores among sediment of each larger-size category. Application of these ideas to physical sediment models for sands and gravels, which have known k, indicates that a threshold does indeed exist. Results also suggest that the Kozeny-Carman equation is robust and gives representative values for k, even though ω(c) is not precisely known.

Percolation (cognitive psychology)

Harmonic mean

10.1111/j.1745-6584.2012.00930.x

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Estimation of the van Genuchten Soil Water Retention Properties from Soil Textural Data

Pedosphere (2010)

Behzad Ghanbarian‐Alavijeh Abdolmajid Liaghat Guanhua Huang Martinus Th. van Genuchten

Silt

Pedotransfer function

Soil texture

10.1016/s1002-0160(10)60035-5

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Citations (171)

Comparison of the predictions of universal scaling of the saturation dependence of the air permeability with experiment

Water Resources Research (2012)

Behzad Ghanbarian‐Alavijeh A. G. Hunt

We compare predictions of the saturation dependence of air permeability from percolation theory with experimental results taken from the last 60 years. We selected experiments with sufficient density of data points to verify a functional dependence. The typical number of such data points was about 10, but actual values ranged from 4 to 31. The predicted saturation dependence is a universal power law in the air‐filled porosity (less a threshold value) with an exponent of 2.00. Our investigation showed that the experimental power was 2.028 ± 0.028 with an R 2 value, averaged across all the experiments, of greater than 0.96 for database 1 (including 16 samples from the literature) and 1.814 ± 0.386 with an R 2 value of larger than 0.90 for database 2 (including 23 samples from Tang et al. (2011)). The threshold value of the air‐filled porosity could be predicted reasonably from the wet end of the soil water retention curves. The threshold varied systematically with soil texture. We also compare the proposed model with three other methods, e.g., Millington and Quirk, Burdine‐Brooks‐Corey, and Kawamoto et al., in estimation of air permeability. The results indicate that the universal scaling approach estimates air permeability more accurately than other methods. Thus, we believe that we have confirmed the universal scaling predicted as well as demonstrated its usefulness in predicting the air permeability.

Saturation (graph theory)

Exponent

Scaling law

10.1029/2011wr011758

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A review of fractal, prefractal and pore-solid-fractal models for parameterizing the soil water retention curve

Canadian Journal of Soil Science (2011)

Behzad Ghanbarian‐Alavijeh Humberto Millán Guanhua Huang

Ghanbarian-Alavijeh, B., Millán, H. and Huang, G. 2011. A review of fractal, prefractal and pore-solid-fractal models for parameterizing the soil water retention curve. Can. J. Soil Sci. 91: 1–14. The soil water retention curve is an important hydraulic parameter for characterizing water flow and contaminant transport in porous media. Therefore, many empirical, semi physical, and physical models of the soil water retention curve have been proposed. Among them, fractal models appear to be a useful approach for modeling soil as a heterogeneous porous medium and its hydraulic characteristics. Fractal models are mathematically based, and their parameters have physical meanings. In this study, we review published fractal, prefractal and pore-solid-fractal models for soil water retention curves including Tyler and Wheatcraft, Rieu and Sposito, Perrier et al., Perfect, Bird et al., Millán and González-Posada, and Cihan et al. models. In the pore-solid fractal (PSF) approach the pore phase and matrix phase have a finite volume even for an infinite number of iterations. The results of fitting the PSF model to measured soil water retention data indicate that this model works well, particularly at lower water contents.

Water retention curve

10.4141/cjss10008

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Citations (70)

Unsaturated hydraulic conductivity in porous media: Percolation theory

Geoderma (2012)

Behzad Ghanbarian‐Alavijeh A. G. Hunt

Percolation Theory

Percolation (cognitive psychology)

10.1016/j.geoderma.2012.04.007

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Citations (92)

Estimation of Soil-Water Retention From Particle-Size Distribution

Soil Science (2012)

Behzad Ghanbarian‐Alavijeh A. G. Hunt

Soil-water retention curve (SWRC) is one of the most important properties of porous media whose estimation is still under investigation by either physically based approaches or empirically developed models. In this short communication, the authors reviewed three well-known fractal approaches, that is, Kravchenko and Zhang, the pore-solid fractal, and Hunt and Gee methods, which estimate SWRC from particle-size distribution. The authors argue that the most reliable method is to use Hunt and Gee's approach to estimate SWRC, then modify the estimated equilibrium water content by the Hunt and Skinner algorithm for nonequilibrium conditions.

Particle (ecology)

10.1097/ss.0b013e3182499910

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Citations (24)

Comments on “More general capillary pressure and relative permeability models from fractal geometry” by Kewen Li

Journal of Contaminant Hydrology (2012)

Behzad Ghanbarian‐Alavijeh A. G. Hunt

Capillary pressure

Macropore

Tight gas

10.1016/j.jconhyd.2012.08.004

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