Tuesday, October 24, 2023

Green-Ampt Equation 🌿💦: and Kostiakov Equation 📐💧:

 Kostiakov Equation 📐💧:

The Kostiakov equation is an empirical formula used to model the rate of water infiltration into soil over time. The formula is:

()=(1)

where:

  • () is the infiltration rate at time 🕒,
  • and are empirical constants 📊,
  • is the time since infiltration began ⏰.

This equation assumes the intake rate declines over time according to a power function. To address its limitation of assuming a zero final intake rate, a variant known as the Kostiakov-Lewis equation is used:

()=(1)+0

where 0 is the steady-state infiltration rate 🔄.

Green-Ampt Equation 🌿💦: The Green-Ampt equation is a method for estimating infiltration into soils during rainfall events 🌧️, given by the formula:

()=+Δln(1+()Δ)

where:

  • () is cumulative infiltration at time 🕒,
  • is hydraulic conductivity of the soil 🌱,
  • is time since infiltration began ⏰,
  • is the wetting front soil suction head 🌀,
  • Δ is the change in volumetric water content 🌊.

The assumptions of this equation include homogeneous soil, constant hydraulic conductivity, and ponding conditions on the soil surface 💧. By rearranging and integrating, one can solve for either cumulative infiltration () or the infiltration rate ():

()=[Δ()+1]

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