A Statistical Analysis of Six Hysteresis Models for the Moisture Retention Characteristic

Viaene, Peter; Vereecken, Harry; Diels, Jan; Feyen, Jan

doi:10.1097/00010694-199406000-00003

Cited by 54 publications

(57 citation statements)

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“…Subsequently, Parlange (1976) proposed a model that corresponds to a special case of Mualem's hypothesis, which requires a knowledge of only one primary curve. Hogarth et al (1988), Viaene et al (1994), Liu et al (1995), Si and Kachanoski (2000) and Braddock et al (2001) applied the classical Brooks and Corey (1964) and van Genuchten (1980) soil-water characteristic curve models to the Parlange hysteresis model and reported that the predicted curves agree with the laboratory observation.…”

Section: Introductionmentioning

confidence: 94%

Characteristics of Scanning Curves of Two Soils

Tami

Rahardjo

Leong

2007

Soils and Foundations

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Scanning curves of two diŠerent soils were obtained from three series of inˆltration and drainage experiments on two physical models of soil slopes in the laboratory. Theˆrst slope model consisted of aˆne sand layer overlying a gravelly sand layer, while the second slope model involved a silty sand layer overlying a gravelly sand layer. Each soil layer had a thickness of 200 mm and both slope models had an inclination angle of 309 . The slope models were subjected to artiˆcial rainfalls of diŠerent intensities, followed by draining where no rainfall was applied. Various instruments were installed to continuously measure the changes in matric suction, volumetric water content and the water balance of the slope models during the experiment. Scanning curves were then constructed using the matric suction and water content data measured at the bottom, middle and top parts of the slope models and were compared with the primary drying and primary wetting soil-water characteristic curves that were measured separately. It was found that the scanning curves followed the primary wetting curve during the adsorption process and then followed the primary drying curve during the desorption process. During the transition period, over which the scanning curve moved from the primary drying curve to the primary wetting curve (or vice versa), the path of the scanning curve had a relatively ‰at slope as compared to the slope of the primary curves, and sometimes it was almost horizontal. However, the slope and the path of the scanning curves were found to be similar for the cases with similar initial conditions.

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Section: Introductionmentioning

confidence: 94%

Characteristics of Scanning Curves of Two Soils

Tami

Rahardjo

Leong

2007

Soils and Foundations

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“…A formally equivalent model was derived by Poulovassilis (1962) based on the independent domain theory. Concepts of domain theory of capillary hysteresis were further used in the models proposed by Mualem (1974Mualem ( , 1984, Mualem and Dagan (1975), Parker et al (1987) and others [see Viaene et al (1994), Kool (Zhuang 2017). b Schematic diagram of scanning curves for playtype hysteresis and similarity models (Beliaev and Hassanizadeh 2001;Mualem 1974) (1987)].…”

Section: Similarity Modelsmentioning

confidence: 99%

“…Similarity models can also be used to explain many cases of the horizontal redistribution problem (Heinen and Raats 1999), which is an important benchmark problem for flows in porous media. However, similarity models are not straightforward to apply because in these models the saturation at a point is a function of all previous reversal points (when it switches from infiltration to drainage or vice versa) (Viaene et al 1994;Kool and Parker 1987). The closedform expressions of the scanning curves actually take in these reversal points as parameters.…”

Section: Similarity Modelsmentioning

confidence: 99%

Hysteresis and Horizontal Redistribution in Porous Media

Duijn

Mitra

2018

Transp Porous Med

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It is well known that multiphase flow in porous media exhibits hysteretic behaviour. This is caused by different fluid-fluid behaviour if the flux reverses. For example, for flow of water in unsaturated soils the process of imbibition and drainage behaves differently. In this paper we study a new model for hysteresis that extends the current playtype hysteresis model in which the scanning curves between drainage and imbibition are vertical. In our approach the scanning curves are non-vertical and can be constructed to approximate experimentally observed scanning curves. Furthermore our approach does not require any book-keeping when the flux reverses at some point in space. Specifically, we consider the problem of horizontal redistribution to illustrate the strength of the new model. We show that all cases of redistribution can be handled, including the unconventional flow cases. For an infinite column, our analysis involves a self-similar transformation of the equations. We also present a numerical approach (L-scheme) for the partial differential equations in a finite domain to recover all redistribution cases of the infinite column provided time is not too large.

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“…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).…”

Section: Hysteresis Modelsmentioning

confidence: 99%