... in the conventional approach, we obtained τ a -based K (ϴ) predictions that are nearly identical to the conventional VGM model predictions. We also compared the τ a -based K (ϴ) predictions with the standard Brooks–Corey–Burdine (BCB) model predictions. In comparison to the VGM model predictions, τ a -based BCB K (ϴ...

... is introduced to make the flow more realistic. For a discussion of τ and its dependency on the volumetric water content, the reader is referred to discussions of the Kozeny–Carman equation ( Burdine, 1953 ; Wylie and Gardner, 1958a , b ; Brooks and Corey, 1964 ; Corey, 1994 ). Dividing Q total by A mod...

... is the magnitude of ionic charge (dimensionless), a = 1.602 × 10 −19 C is the electron charge. With the constants given, it is obtained that b = 7.649 × 10 −10 m 0.5 s −1 at 20°C (assuming z = 1). BC, Brooks and Corey (1966) model BC-B, Brooks and Corey (1966) model combined with the Burdine (1953...

... experiments. LOD, Lenhard, Oostrom, and Dane NAPL, nonaqueous phase liquid NH, nonhysteretic Brooks and Corey–Burdine constitutive model PCE, perchloroethylene VGR, Van Geel and Roy WVDZ, Wipfler and van der Zee D escriptions of mobile and entrapped NAPL behavior are now standard features...

... the pore-geometry factor λ. The combination of these two equations has typically been referred to as the Brooks–Corey–Burdine (BCB) constitutive model ( Oostrom et al., 1997 ). As an alternative to the coupled Eq. [7] , the following uncoupled Corey-type relative permeability relation ( Brooks and Corey...

... this context, we investigated two major issues involving soil hydraulic properties: (i) hydraulic parameter correspondence among some of the more commonly used soil hydraulic conductivity functions (i.e., the Gardner [G], Brooks–Corey [BC], and van Genuchten [VG] equations) and (ii) their application...

... (1976) capillary bundle models ( Brooks and Corey, 1966 ; Parker et al., 1987 ; Lenhard and Parker, 1987 ; Tuli et al., 2005 ; Unsal et al., 2005 ). These models are generally expressed as a relative gas permeability, k a (ε)/ k *, as a function of a relative air-filled porosity, ε/ε*, using...

... < 1. Then, Eq. [1] reduces to the model of Brooks and Corey (1964 , 1966) Solving Eq. [32] for S yields Note that Eq. [32] holds only for h ≥ h * because for h < h * S becomes >1, which is impossible. Equation [33] implies that only the product βγ can be identified, so...

... by Wind (1955) and adapted to the air entry value ψ c by Brooks and Corey (1964) , leading to an equation of K r (ψ) similar to the power type form of Eq. [1.3] . The major limitation of this approach is the specificity of equations to a range of potentials ( Or et al., 2000b ) or to specific soil...

... head. Equation [3] can be fitted through measured values of k nw at known values of S e . The resulting value for γ can then be converted to λ and the corresponding water retention curve can be compared with the measured one. Consequently, our proposed model can be compared with the Brooks–Corey...

... pressure ( k – S – P) relations consist of the Brooks and Corey (1964) S – P relations in combination with the k – S relations derived from the Burdine (1953) or Mualem (1976) model. In these relations, the effects of fluid entrapment and residual saturation formation have been included...

... saturations and relative permeability values were computed with the Brooks and Corey (1964) and Burdine (1953) constitutive relations, while the water phase was kept stagnant. For the thermal properties, a relation from Somerton et al. (1974) was used to interpolate between the dry and saturated thermal...

... . 1971 . Hopping conductivity in disordered systems . Phys. Rev. B . 4 : 2612 – 2621 . Brooks , R.H. , and A.T. Corey . 1964 . Hydraulic properties of porous media . Hydrology Paper 3 . Colorado State Univ ., Fort Collins . Burdine , N.T. 1953 . Relative permeability...

... adjustments in the time step were imposed. Parameter values listed in Table 1 were used in the simulations. Brooks and Corey (1964) parameters were used for the S–P relations because the porous materials have distinct nonwetting fluid entry pressures, as shown in Table 1 . Burdine (1953) equations...

... that accounts for pore connectivity and tortuosity and hence is called the connectivity–tortuosity coefficient, and β and γ are constants. Equations [5a] and [ 5b ] reduce to the Burdine (1953) relationship when β = 2 and γ = 1 and to the Mualem (1976) relationship when β = 1 and γ = 2. Mualem (1976...

...) , a dual-energy gamma radiation system was used to generate NAPL saturation data. The data were used for comparison with simulation results applying both van Genuchten (1980) and Brooks–Corey ( Brooks and Corey, 1964 ) nonhysteretic retention relations in combination with relative permeability equations...

... conditions. As an illustration, Fig. 1 shows a comparison of the predictions produced by the models of Jarvis (1989) and de Jong van Lier et al. (2008) for an extended dry-down period of 100 d without rain, with α 1 defined according to Eq. [16] , assuming a Burdine–Brooks–Corey type soil...

... conductivity dry 1.0 W m −1 K All - Thermal conductivity wet 3.1 W m −1 K All - Heat capacity 830 J All - Lambda (Brooks-Corey) 1.0121 All Lian et al. (2016) Alpha (Brooks-Corey) 1.142 × 10 −6  Pa −1 All Lian et al. (2016) Liquid residual saturation 0.088 All...

... are weighing factors for the subcurves, subject to 0 < w i < 1 and Σ w i = 1. The Brooks and Corey retention function ( Corey, 1977 ) is traditionally combined with the capillary bundle conductivity model of Burdine (1953) , and the combination gives ( Brooks and Corey, 1964...

... (or intrinsic permeability) and Brooks–Corey air-entry pressure were computed from the spatial realizations of d 50 grain-size diameter distributions on the fine-scale grid using the following equations, respectively: [8] \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb...