enve environmentalengineering institut teknologi bandung · hidrologi bahasan...
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
INFILTRATION
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INFILTRATIONINFILTRATIONInfiltration is the process of water penetrating from the ground surface into the soil.
Many factors influence the infiltration rate, including the Condition of the soil surface and its vegetative cover, the properties of the soil, such as its porosity and hydraulic conductivity, and the current moisture content of the soil.soil, such as its porosity and hydraulic conductivity, and the current moisture content of the soil.
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Moisture zone during Infiltration
EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Slow water movement in Slow water movement in Slow water movement in Slow water movement in a small diameter ofa small diameter ofa small diameter ofa small diameter of soilsoilsoilsoil
Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to Unsaturated soil tends to draw the water (down)draw the water (down)draw the water (down)draw the water (down)
Infiltration rate: varies Infiltration rate: varies Infiltration rate: varies Infiltration rate: varies (not constrant)(not constrant)(not constrant)(not constrant)
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INFILTRATIONINFILTRATION• Horton’s equation: infiltration begins at some rate f0 and exponentially decreases until it reaches a constant rate fc
f(t) = fc + (f0 – fc)e-kt
Phillip’s equation: cumulative infiltration F(t):F(t) = St1/2 + Ktcumulative infiltration F(t):F(t) = St1/2 + KtS = sorptivityK = hydraulic conductivity
Green-Ampt Method
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INFILTRATIONINFILTRATION• Green-Ampt Method
If the soil was initially of moisture content θi throughout its entire depth, the moisture content will increase from θi to η (the porosity) as the wetting front passes.
The moisture content θ is the ratio of the volume of water to the total The moisture content θ is the ratio of the volume of water to the total volume within the control surface, so the increases in the water stored within the control volume as a result of infiltration is L(η – θi).
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
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INFILTRATIONINFILTRATION• Green-Ampt Method
Green-Ampth equation for cumulative infiltration. Once F is found from equation:F(t)- ψ∆θ ln (1 + F(t)/ψ∆θ) = Kt
the infiltration rate f can be obtained from:the infiltration rate f can be obtained from:
F(t) = K [(ψ∆θ/F(t) + 1)]
Ψ = wetting front soil suction head∆θ = the change in the moisture content when the
wetting front passes = (1 – se)θe
θe = effective porosity
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INFILTRATIONINFILTRATION• Green-Ampt Method
Compute the infiltration rate f and cumulative infiltration F after one hour of infiltration into a silt loam soil that initially had an effective saturation of 30%. Assume water is ponded to a small but negligible depth on the surface.surface.
Effective saturation, Se = θ- θr/(η- θr)is the ratio of the available moisture (θ- θr) to the masimum possible available moisture content (η- θr).
The residual moisture content of the soil after it has been thoroughly drained is denoted by θr
Change in moisture content, ∆θ = (1-Se)θe
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INFILTRATIONINFILTRATION• Green-Ampt Method
Compute the infiltration rate f and cumulative infiltration F after one hour of infiltration into a silt loam soil that initially had an effective saturation of 30%. Assume water is ponded to a small but negligible depth on the surface.surface.
From the table: for a silt loam soil θe =0.486, ψ=16.7 cm, and K = 0.65 cm/h, se =0.3
F(t)= Kt + ψ∆θ ln (1 + F(t)/ψ∆θ)
∆θ = (1-Se)θe
∆θ = (1-0.3) (0.486) = 0.34and ψ∆θ = 16.7 x 0.340 = 5.68 cm
The cumulative infiltration at t=1 hour is calculated employing the method of successive substitution. F(t)= Kt + ψ∆θ ln (1 + F(t)/ψ∆θ)
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INFILTRATIONINFILTRATIONRawls, Brakensiek, and Miller (1983) used the method to analyze approximately 5000 soil horizons across the United States and determined average values of the Green-Ampt parameters η, θe, ψ, and K for different soil classes, as shown in Table.
As soil becomes finer moving from sand to clay the wetting front soil suction head increases while the hydraulic conductivity decreases. As soil becomes finer moving from sand to clay the wetting front soil suction head increases while the hydraulic conductivity decreases.
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INFILTRATIONINFILTRATIONGreen-Ampt infiltration parameters for various soil classes
Soil class Porosity
η
Effective porosity
θe
Wetting front soil suction head (cm),
ψ
Hydraulic conductivity (cm/h),
K
Sand 0.437 0.417 4.95 11.78
Loamy sand 0.437 0.401 6.13 2.99Loamy sand 0.437 0.401 6.13 2.99
Sandy loam 0.453 0.412 11.01 1.09
Loam 0.463 0.434 8.89 0.34
Silt loam 0.501 0.486 16.68 0.65
Sandy clay … … … …
Clay loam
…….
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INFILTRATIONINFILTRATION
Material Porosity Hydraulic conductivity (cm/h),
η K
Gravel 25-40% 10-1 -102
Sand 25-50% 10-5 -1
Silt 35-50% 10-7 -10-3
Clay 40-70% 10-9 -10-5
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s Darcy’s LawLaw
Water is percolating through a fine sand aquifer withhydraulic conductivity 10-2 cm/s and porosity 0.4 toward a stream 100 m away. If the slope of the water table is 1%, calculate the travel time of water to the stream.
SolutionThe Darcy flux q = K.Sf
With K =0.01 cm/s = 8.64 m/day and Sf = 1%; hence q = 8.64 x 0.01 = 0.086 m/day.The water velocity va = q/η = 0.086/0.4 = 0.216 m/day.The travel time to the stream 100 m away is 100/va = 100/0.216 = 463 days = 1.3 years.
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Soil Water
EnvironmentalEngineeringInstitut Teknologi BandungEnvE
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Cumulative Infiltration
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Soil Particle Aggregates Conceptual Diagrams
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INFILTRATIONINFILTRATIONCompute the infiltration rate f and cumulative infiltration F after one hour of infiltration into a silt loam soil that initially had an effective saturation of 30 percent. Assume water is ponded to a small but negligible depth on the surface.
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Ponding TimePonding TimeThe ponding time tp is the elapsed time between the time rainfall begins and the time water begins to pond on the soil surface.
Ponding begins when the rainfall intensity exceeds the potential infiltration rate. At this time (t = tp), the soil surface is saturated. As rainfall continues (t > tp), the saturated zone extends deeper into the soil and overland flow occurs from the ponded water. (t > tp), the saturated zone extends deeper into the soil and overland flow occurs from the ponded water.
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Porosity
EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Shape
Sorted
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Porosity
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Permeability
EnvironmentalEngineeringInstitut Teknologi BandungEnvE
ClayClayClayClayWater likes to stick to waterMore surface area of clay for water to stickwater to stick
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Soil Texture Triangle
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Soil Texture Triangle
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HIDROLOGI BAHASAN
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Composition:
•Clay – 21%
• Sand – 66%
• Silt – 13%
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Soil Property Range
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Soil-water Pressure (Tension)
EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Tension is much
higher in finer-higher in finer-
grained than in
coarser-grained soils
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Water Movement in Unsaturated Zone
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Water that does not Water that does not
infiltrate becomes
overland flow
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Field capacity – minimum soil water content after indefinite gravitational drainage
Permanent wilting point– natural vegetation cannot remove enough water to
match moisture loss to atmosphere
Hygroscopic water – water forms thin layers around soil particles. Tightly held, not
available to plants.
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Water penetration into the soil
Rate of infiltration depends on
– Conditiion of soil surface
-Vegetative cover
- Soil properties: porosity, hydraulic conductivity, moisture content
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s Law
Studying the performance of sand filters in
treating drinking water, Darcy measured the
flowrate of water through sand.
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s LawWater is percolating through a fine sand aquifer with
hydraulic conductivity 10-2 cm/s and porosity 0.4 toward
a stream 100 m away. If the slope of the water table is
1%, calculate the travel time of water to the stream.
Solution
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s Law
Water is percolating through a fine sand aquifer with
hydraulic conductivity 10-2 cm/s and porosity 0.4 toward
a stream 100 m away. If the slope of the water table is
1%, calculate the travel time of water to the stream.
Solution
The Darcy flux q = K.Sf
With K =0.01 cm/s = 8.64 m/day and Sf = 1%; hence
q = 8.64 x 0.01 = 0.086 m/day.
The water velocity va = q/η = 0.086/0.4 = 0.216 m/day.
The travel time to the stream 100 m away is 100/va =
100/0.216 = 463 days = 1.3 years.
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s Law
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EnvironmentalEngineeringInstitut Teknologi BandungEnvE
Darcy’s Law
A ‘fine sand’ has
hydrualic conductivity
of 3 m/d. What flow
rate would be expected rate would be expected
through a 1 m long, 25
cm diameter column of
soil where the head
differential is 35 mm?