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Uniqueness of Soil Hydraulic Parameters Determined by a Combined Wooding Inverse Approach

N. Lazarovitch^a,*, A. Ben-Gal^b, J. imnek^c and U. Shani^d

^a The Wyler Dep. of Dryland Agriculture Jacob Blaustein Inst. for Desert Research, Ben-Gurion Univ. of the Negev, Sede Boqer, 84990 Israel
^b Inst. of Soil, Water and Environmental Sciences, Agricultural Research Organization, Gilat Research Center, D.N. Negev, 85280 Israel
^c Dep. of Environmental Sciences Univ. of California–Riverside, Riverside, CA 92521
^d Faculty of Agricultural, Food and Environmental Quality Sciences, The Hebrew Univ. of Jerusalem, Rehovot, Israel

View larger version (36K): [in this window] [in a new window]   Fig. 1. Schematic of a device for measuring infiltration rates into soil from rings: A, container; B, electric valve; C, ring; D, electrode unit; E, suspended scale; F, laptop computer; G, controller.

View larger version (19K): [in this window] [in a new window]   Fig. 2. Log of the objective function () as a function of the empirical shape parameter n for the hypothetical case of the loamy soil. Data points connected by lines represent optimization Cases 1 through 4 from Table 2. The dashed line represents the assembly of all possible log that obey the matric flux potential () value within the presented n range.

View larger version (20K): [in this window] [in a new window]   Fig. 3. Log of the objective function () as a function of the empirical shape parameter n for the hypothetical case of the loamy sand soil. Data points connected by lines represent optimization Cases 5 through 7 from Table 2. The dashed line represents the assembly of all possible log that obey the matric flux potential () value within the presented n range.

View larger version (19K): [in this window] [in a new window]   Fig. 4. Measured (symbols) steady-state flux (q) as a function of the reciprocal of the ring radius (r0–1) for Rehovot sand and Hazerim sandy loam. Solid lines represent the best fit.

View larger version (21K): [in this window] [in a new window]   Fig. 5. Measured (symbols) and fitted (solid line) cumulative infiltration (I) for Hazerim loamy sand as a function of time with various ring radii (r0). Fitted line was calculated with the Wooding–inverse approach.