In the previous papers (I)-(II), free surface, seepage surface, stream-line, stream-velocity, discharge, and capillary-potential in percolation with the consiceration of capillary zone were reported.
This paper deals with the seepage surface (
Hs), discharge (Q
c) with Cauchy's integral theorem applied to the rectangular or sloping dike (1: 2) with capillary zone and the methods by other investigators.
Presumptive boundary conditions of the rectangular dike are shown in Tables 1-4 for Figs. 1-4, and those of the sloping dike (1: 2) are in Tables 1-4 for Figs. 7-10, with the addition of ψ
F≈ψ
F' to Fig. 7, and ψ
G≈ψ
G' and ψ
F≈ψ
F' to Figs. 8-9.
Judging from the results of the applications under the assumptions that the “highest inductive capillary surface”(a tentative name) is linear or quadratic of Y in the rectangular dike, Table 1 for Fig. 1 and Table 4 for Fig. 4 (when it is quadratic) are seemed to be correct assumptions.
Table 3 for Fig. 3 is seemed so, when the width of the dike L is relatively small and the “highest inductive capillary surface” is quadratic of Y.
In the sloping dike (1: 2), Table 1 for Fig. 7, with the addition of ψ
F≈ψ
F', is seemed so, when the “highest inductive capillary surface” is linear of Y.
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