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Section7Slides_v1

Section7Slides_v1 - f c t − t c t = t p = f c t p − t c...

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Porous media definitions [Note: Many are analgous to snow properties.] Soil matrix properties: particle density bulk density porosity ρ m = mass of mineral grains volume of mineral grains = M m V m ; typically ρ m 2650 kg m -3 ρ b = mass of mineral grains volume of soil = M m V s φ = n = θ s = volume of voids volume of soil = V void V s φ = 1 ρ b ρ m Water content variables: (only relevant for unsaturated zone) volumetric water content relative saturation θ = volume of water volume of soil = V w V s ; 0 θ θ s s = θ θ s ; 0 s 1
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[Note: Soil type/texture is used to identify soil hydraulic properties via tabulated relationships.]
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porosity Sat. hydraulic conductivity (K s ) Sat. matric head (| ψ s |) “Brooks-Corey” or “Clapp-Hornberger” Soil Hydraulic Parameters (based on soil type)
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f ( t ) = P , t 0 < t t p f c ( t t c ) , t p t t r Modeling Actual Infiltration using the time- compression approximation (TCA) Actual infiltration model:
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Unformatted text preview: f c ( t − t c ) t = t p = f c ( t p − t c ) = P TCA condition #1: TCA condition #2: f c ( t ) dt = P ⋅ t p t p − t c ∫ Depending on the particular infltration capacity model chosen (Philip or Green-Ampt), the two TCA conditions (equations) can be solved explicitly for the two unknowns (time to ponding and compression time) to get an explicit expression for the actual infltration: f(t) . See supplementary TCA notes for more details… F = f ( t ) t r ∫ dt = P t p ∫ dt + f c ( t − t c ) dt t p t r ∫ Q = P − f ( t ) t r ∫ dt = P − f c ( t − t c ) dt t p t r ∫ = Pt r − F From actual infltration model, can compute cumulative infltration and/or infltration excess runo±±:...
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