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Philips Equation. Recall Richard’s Equation Assume K and D are functions of q , not z Solution Two terms represent effects of Suction head Gravity head S – Sorptivity Function of soil suction potential Found from experiment. Infiltration into a horizontal soil column.

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Philips equation l.jpg
Philips Equation

  • Recall Richard’s Equation

    • Assume K and D are functions of q, not z

  • Solution

    • Two terms represent effects of

      • Suction head

      • Gravity head

  • S – Sorptivity

    • Function of soil suction potential

    • Found from experiment


Infiltration into a horizontal soil column l.jpg
Infiltration into a horizontal soil column

Boundary conditions

Θ = Θo for x = 0, t > 0

Θ = Θn for t = 0, x > 0

x

0

Equation:


Measurement of diffusivity by evaporation from soil cores l.jpg
Measurement of Diffusivity by Evaporation from Soil Cores

Air stream

q

q = soil water flux = evaporation rate


Measurement of diffusivity by evaporation from soil cores4 l.jpg
Measurement of Diffusivity by Evaporation from Soil Cores

http://www.regional.org.au/au/asa/2006/poster/water/4521_deeryd.htm