Ponded Green-Ampt infiltration calculator

Calculate cumulative infiltrated depth and instantaneous infiltration capacity with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use cumulative infiltrated depth and instantaneous infiltration capacity to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Saturated hydraulic conductivity (mm/hour)
10
Wetting-front suction head (mm)
100
Moisture deficit (fraction)
0.3
Initial infiltrated depth at ponding (mm)
1
Continuous ponding duration (hours)
2
Cumulative infiltrated depth (mm)
49.102852
Instantaneous infiltration capacity (mm/hour)
16.109625

Try another scenario

Saturated hydraulic conductivity (mm/hour)
11
Wetting-front suction head (mm)
100
Moisture deficit (fraction)
0.3
Initial infiltrated depth at ponding (mm)
1
Continuous ponding duration (hours)
2
Cumulative infiltrated depth (mm)
52.286651
Instantaneous infiltration capacity (mm/hour)
17.311362
Calculation method

Calculation method

Cumulative infiltrated depth (mm)

Ponded Green-Ampt implicit equation ΔF−ψΔθ ln((F+ψΔθ)/(F0+ψΔθ))=KΔt; no finite rainfall-supply restriction.

Instantaneous infiltration capacity (mm/hour)

Ponded Green-Ampt implicit equation ΔF−ψΔθ ln((F+ψΔθ)/(F0+ψΔθ))=KΔt; no finite rainfall-supply restriction.

Symbols and units
a
Saturated hydraulic conductivity (mm/hour)
b
Wetting-front suction head (mm)
c
Moisture deficit (fraction)
d
Initial infiltrated depth at ponding (mm)
e
Continuous ponding duration (hours)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Ponded Green-Ampt implicit equation ΔF−ψΔθ ln((F+ψΔθ)/(F0+ψΔθ))=KΔt; no finite rainfall-supply restriction. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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