1973
DOI: 10.1029/wr009i005p01324
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Modified approach to capillary hysteresis based on a similarity hypothesis

Abstract: We present herein a Simplified approach to the capillary hysteresis phenomenon. This approach is based on a similarity hypothesis resembling that of Philip (1964), but different basic assumptions lead to a quite simple and handy method of predicting the relationships between the capillary held and the water content within the hysteretic loop. Only the boundary curves of the main loop are required in order to derive analytically the scanning curves. The reliability of the proposed modified model is demonstrated… Show more

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Cited by 122 publications
(111 citation statements)
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“…After changes in the intensity of applied rainfall, the suction and volumetric water content unsaturated-soils hysteresis theory (Mualem 1973). There are two hypotheses for this observation.…”
Section: Insitu Water Retention Curvesmentioning
confidence: 99%
“…After changes in the intensity of applied rainfall, the suction and volumetric water content unsaturated-soils hysteresis theory (Mualem 1973). There are two hypotheses for this observation.…”
Section: Insitu Water Retention Curvesmentioning
confidence: 99%
“…Only the measured boundary curves are required for the calibration of the model, and the scanning curves are expressed analytically. Moreover, the modified model is better adapted to Figure C22 Scanning curves predicted by the usual Néel-Everett model (dashed line), by model I (solid line), and the measured data for Caribou silt loam (points) (after Mualem, 1973). Figure C23 (a) Schematic representation of capillary hysteresis and the filled-pore diagrams in the (unknown) rr plane (the shaded domains) for (b) the main wetting process, (c) the main drying process, (d) the primary drying process, and (e) the primary wetting process (after Mualem, 1974).…”
Section: Theory Of Capillary Hysteresismentioning
confidence: 99%
“…This phenomenon is intensified when a considerable region of the hysteretical domain is observed within the range (0, c cr ) and when the sample is dried to a lower water content y min , close to y r . Mualem (1973), following Philip's (1964) approach, suggested a modified variant of the independent-domain theory. This model used a similarity hypothesis, according to which the pore-water distribution function f (c w , c d ) is represented as a product of two independent distribution functions, h(c w )'(c d ).…”
Section: Theory Of Capillary Hysteresismentioning
confidence: 99%
“…With the similarity assumption, only the main wetting and main drying curves are needed to describe the entire hysteretic phenomenon. Depending on whether pore drainage is assumed to be independent or dependent upon the state of neighboring pores, independent-domain models [Mualem, 1973[Mualem, , 1974 and dependent-domain models [Mualem, 1984a;Mualem and Dagan, 1975] have been developed.…”
mentioning
confidence: 99%
“…These models divide the soil matrix into a set of pore domains characterized by wetting pore radii that control the filling of pores by water and drying pore radii that control their emptying. A similarity assumption for wetting and drying pore radii [Mualem, 1973[Mualem, , 1974] is often invoked to avoid the requirement for a large number of scanning curves for model calibration. With the similarity assumption, only the main wetting and main drying curves are needed to describe the entire hysteretic phenomenon.…”
mentioning
confidence: 99%