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), fc 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: (ſo − ƒc) × e-*¹] ×x dt = A₂ × [fet + fo=fe (1 − e-*¹)] V = A., [ ƒ x dt = A, U. + Ufo - [ 1₁ + As where As is the unit area (1 m²) and V is the volume (m³). Sothan loamy sand has the following characteristics: fc = 6.68 cm h:¹, 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. 12.2. Compute the total volume of infiltration over 120 min in an area of 1 m²
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), fc 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: (ſo − ƒc) × e-*¹] ×x dt = A₂ × [fet + fo=fe (1 − e-*¹)] V = A., [ ƒ x dt = A, U. + Ufo - [ 1₁ + As where As is the unit area (1 m²) and V is the volume (m³). Sothan loamy sand has the following characteristics: fc = 6.68 cm h:¹, 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. 12.2. Compute the total volume of infiltration over 120 min in an area of 1 m²
Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.8P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Fundamentals of Geotechnical Engineering (MindTap…
Civil Engineering
ISBN:
9781305635180
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Geotechnical Engineering (MindTap…
Civil Engineering
ISBN:
9781305635180
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning