3. The Horton infiltration equation f(t) describes how the infiltration capacity (mm/hr) for the soil is changing with time as the soil becomes wetter. The accumulated infiltrated water (in mm) can be calculated using the integral of f(t), i.e., F(t). where, fo = initial infiltration capacity of dry soil (mm/hr) fc = final infiltration capacity when the soil has become saturated soil (mm/hr) k = time constant (hr4) Note that the Horton equation is only valid for ponding conditions. In a specific soil, the following parameters are known: fo = 35 (mm/hr) fc = 6 (mm/hr) k = 2 (hr 1) %3D What is the infiltration capacity after 15,30, and 60 min? • How much water has infiltrated after 15, 30, and 60 min?

Fundamentals of Geotechnical Engineering (MindTap Course List)
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Author:Braja M. Das, Nagaratnam Sivakugan
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Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.8P
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3. The Horton infiltration equation f(t) describes how the infiltration capacity (mm/hr) for the soil is
changing with time as the soil becomes wetter. The accumulated infiltrated water (in mm) can be
calculated using the integral of f(t), i.e., F(t).
where,
fo = initial infiltration capacity of dry soil (mm/hr)
fc = final infiltration capacity when the soil has become saturated soil (mm/hr)
k = time constant (hr4)
Note that the Horton equation is only valid for ponding conditions. In a specific soil, the following
parameters are known:
fo = 35 (mm/hr)
fc
= 6 (mm/hr)
k = 2 (hr 1)
%3D
What is the infiltration capacity after 15,30, and 60 min?
How much water has infiltrated after 15, 30, and 60 min?
Transcribed Image Text:3. The Horton infiltration equation f(t) describes how the infiltration capacity (mm/hr) for the soil is changing with time as the soil becomes wetter. The accumulated infiltrated water (in mm) can be calculated using the integral of f(t), i.e., F(t). where, fo = initial infiltration capacity of dry soil (mm/hr) fc = final infiltration capacity when the soil has become saturated soil (mm/hr) k = time constant (hr4) Note that the Horton equation is only valid for ponding conditions. In a specific soil, the following parameters are known: fo = 35 (mm/hr) fc = 6 (mm/hr) k = 2 (hr 1) %3D What is the infiltration capacity after 15,30, and 60 min? How much water has infiltrated after 15, 30, and 60 min?
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