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?

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?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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12. (Horton's equation for infiltration rate, ). One can use Horton's equation to estimate the infiltration rate of water into soil if the rainfall rate exceeds the infiltration rate. The Horton's equation states that: f = fe+ (fo-fc) x e-kt where f is the infiltration rate (cm h:¹), fe is the equilibrium infiltration rate (cm h 1), fo is the initial infiltration rate (cm h:¹), k is an empirical constant (h:¹), and t is time (h). Horton's equation can be integrated to yield an equation that represents the total volume of water that would infiltrate over a given period: V=A₁ [Fxα= 4, 16+ V = A₁ [fx dt = A₁ [lfc + (fo-fc) × e-k¹] x dt = A₂ × [fet + fo=fc (1 - e-*)] 0 where As is the unit area (1 m²) and V is the volume (m³). Sothan loamy sand has the following characteristics: fe= 6.68 cm h¹, fo = 8.81 cm h¹, k = 1.40 h ¹. Assuming the rate of precipitation exceeds the rate of infiltration throughout the storm event. 12.1. Find the infiltration rate at times of 12, 30, 60, and 120 min.…
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The infiltration capacity of a soil follows the Horton's exponential model f = C₁ + C₂ e-kt. During an experiment, the intial infiltration capacity was observed to be 200 mm/hr. After a long time the infiltration capacity was reduced to 25 mm/h. If the infiltration capacity after 1 hour was 90 mm/ h the value of the decay rate constant k (in h-¹, up to two decimal places) is
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massfall The infiltration capacity of soil in a small watershed was found to be 6 cm/h before a rainfall event. It was found to be 1.2 cm/h at the end of 8 hours of storm. If the total infiltration during the 8 hours period of storm was 15 cm, estimate the value of the decay coefficient K, in Horton's infiltration capacity equation.
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SITUATION 3- GREEN- AMPT INFILTRATION METHOD A soil somewhere in Pangasinan has the following properties subjected for Green- Ampt equation: Ks= 1.5 in/hr; W= -9.8 in; i= 8.2 in/hr, es= 0.523; ei= 0.308 Using Green- Ampt infiltration method: Calculate the initial moisture deficit Find the volume of water that will infiltrate before saturation is reached • Find the time to saturation * Plot the infiltration rate vs. the infiltration volume