Proof of impossibility: Difference between revisions

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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]]''.<ref name="Philip57">{{Cite journal | last=Philip | first=John R | title=The theory of infiltration: 4. Sorptivity and algebraic infiltration equations| journal=Soil Science | volume=84 | pages=257–264 | year= 1957 }}</ref>
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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.''<ref name="WTBSC2">{{Cite book|last=Hall|first=Christopher|last2=Hoff|first2=William D|title=Water transport in brick, stone and concrete, 2nd edn|year=2012|publisher=Taylor and Francis|location=London and New York|url=http://www.routledge.com/books/details/9780415564670/}}</ref>
 
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:
 
<math> I = S \sqrt{t}\ </math>
 
where ''S'' is sorptivity, ''I'' is the cumulative infiltration at time, ''t''.
 
For vertical infiltration, Philip's solution is adapted using a parameter A<sub>1</sub>. This results in the following equations, which are valid for short times:
cumulative: <math> I = S \sqrt{t}\ + A_1 t</math>, rate <math> i = 0.5 S/ \sqrt{t}\ + A_1</math> where the sorptivity S is defined (when a sharp wetting front L<sub>f</sub> exists, as: <math> S(\theta_0 , \theta_i) = \frac{(\theta_0 - \theta_i) L_f}{t^{1/2}} </math>
 
==References==
{{Reflist}}
 
[[Category:Soil physics]]

Latest revision as of 16:56, 9 November 2014

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