Sorptivity

In 1957 John Philip introduced the term sorptivity and defined it as a measure of the capacity of the medium to absorb or desorb liquid by capillarity.

According to C Hall and W D Hoff, the sorptivity expresses the tendency of a material to absorb and transmit water and other liquids by capillarity.

The sorptivity is widely used in characterizing soils and porous construction materials such as brick, stone and concrete.

Calculation of the true sorptivity required numerical iterative procedures dependent on soil water content and diffusivity. John Philip (1969) showed that sorptivity can be determined from horizontal infiltration where water flow is mostly controlled by capillary absorption:

$I=S{\sqrt {t}}\$

where S is sorptivity, I is the cumulative infiltration at time, t.

For vertical infiltration, Philip's solution is adapted using a parameter A₁. This results in the following equations, which are valid for short times:

cumulative: $I=S{\sqrt {t}}\ +A_{1}t$

rate: $i=0.5S/{\sqrt {t}}\ +A_{1}$

where the sorptivity S is defined (when a sharp wetting front L_f exists) as:

$S(\theta _{0},\theta _{i})={\frac {(\theta _{0}-\theta _{i})L_{f}}{t^{1/2}}}$