A Modified Dependent-Domain Theory of Hysteresis

Influence of Viscous Fingering on Dynamic Saturation–Pressure Curves in Porous Media

“…In these models, the model parameters are fit parameter and they are functions of the characteristics of the pore space, such as the pore size distribution and the degree of connectivity of the network. As found in the early 1960s, the retention curves may also depend on the direction and on the 'displacement history' of the water-air front, further on referred as hysteresis effects (Poulavissilis 1962;Mualem 1976Mualem , 1984Kool and Parker 1987;Parker and Lenhard 1987;Luckner and Van Genuchten 1989;Lenhard et al 1993;Stauffer and Kinzelbach 2001). Based on the parameterization procedure proposed by Parker et al (1987), the known retention curves of a porous sample are often used to obtain capillary pressure-saturation curves for the different fluid pairs present in a multiphase system (e.g.…”

Science of Lagging Behind- Hysteresis in Soil Moisture Characteristic Curve - A Review

“…Empirical models are-Interpolation Model, Slope Model, Scaling Down model &linear models. Several workers have compared hysteresis models (Viane et al, 1994) and concluded that best conceptual 2 branch model were Mulaem's modified independent domain models (Mulaem II & IV) (Mualem, 1973(Mualem, , 1974(Mualem, , 1977(Mualem, , 1984Poulovassilis, 1961) and in the Parlange's model was found best in the single branch model (Maqsoud et al, 2004).…”

Processes, mechanisms, parameters, and modeling approaches for partially saturated flow in soil and rock media; Yucca Mountain Site Characterization Project

“…Recent reviews of capillary hysteresis models have been given for example by Jaynes (1984) and Kool and Parker (1987). The domain theories for magnetism and other hysteresis phenomena (Everett, 1955;Enderby, 1955) have been generalized and applied to partially saturated porous media (Poulovassilis, 1962(Poulovassilis, , 1970Philip, 1964;Topp, 1969Topp, , 1971Mualem, 1973Mualem, , 1974Mualem, , 1984. The domain theory assumes that the medium is a collection of pore domains with each pore has a characteristic wetting radius rw and a drying radius rd.…”