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Transient Flow from Tension Infiltrometers

II. Four Methods to Determine Sorptivity and Conductivity

Jean-Pierre Vandervaerea, Michel Vauclina and Dave E. Elrickb

a Lab. d'étude des Transferts en Hydrologie et Environ. (CNRS UMR 5564, INPG, IRD, UJF) BP 53, 38041 Grenoble Cedex 9, France
b Dep. of Land Resource Sci., Univ. of Guelph, Guelph, ON, Canada N1G 2W1



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Fig. 1 Principle of the classic determination of S at short times: a case without a sand contact layer

 


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Fig. 2 Principle of the classic determination of S at short times: a case with a sand contact layer

 


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Fig. 3 Principles of the multi-radii (MR) method with three disk radii

 


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Fig. 4 Variations of the C1/C2 ratio with S. The dashed line represents the location of Sopt. The represented example corresponds to the Grenoble sand (A = 2.12 x 10-2 mm s-1; {Delta}{theta} = 0.312 m3 m-3)

 


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Fig. 5 SK diagram of seven model soils and two supply potential values. The frontier between the two domains, shown for three values of the disk radius R, corresponds to ß = 0.6 and {Delta}{theta} = 0.4

 


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Fig. 6 Coefficients C1 and C2 estimated by the single test method. Estimates for R = 125 mm (squares), for R = 40 mm (circles), and for R = 24.25 mm (triangles) are compared with exact values (lines) for Grenoble sand (left) and Yolo light clay (right)

 


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Fig. 7 Classic determination of S at short times: estimation error as a function of the time T taken into account (Eq. [7])

 


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Fig. 8 K estimates by the single test (ST) method (squares) compared with exact value (plain line) for Grenoble sand (top) and Yolo light clay (bottom)

 


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Fig. 9 The multi-radii method for Grenoble sand. Symbols correspond to estimates and plain lines correspond to regression lines

 


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Fig. 10 The multi-radii method for Yolo light clay. Symbols correspond to estimates and plain lines correspond to regression lines

 


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Fig. 11 K and S estimates by the multi-radii method (squares) compared with exact values (plain lines) for Grenoble sand (top) and Yolo light clay (bottom)

 


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Fig. 12 K estimates by the multi-sorptivity method with a one-disk experiment (MS1) (triangles) and the multi-sorptivity method with a multi-radii experiment (MS2) (squares) compared with exact value (plain line) for Grenoble sand (top) and Yolo light clay (bottom)

 





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