Mathematical Analysis
Due to the three-dimensional water flow from the disc, a special formulation is needed to take into account the lateral absorption of water. The analyses are derived from the simple, steady-state analysis of Wooding (1968). For steady infiltration from a circular, shallow, inundated area, Wooding found that a remarkable feature of this curve is the fact that it never departs far from the straight line:
where Q* is the dimensionless flux, . r is the radius of the disc and is the sorptive number or the parameter of Gardner’s (1958) hydraulic conductivity function:
where K is the hydraulic conductivity, Ks is saturated conductivity and h is soil water potential . In terms of the actual steady-state infiltration rate q¥ :
Read more about this topic: Disc Permeameter
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