THE SCIENCE ASPECTS OF PHOSPHORUS TRADING
Christopher G. Uchrin
Simple TP Mass-Balance ModelSchematic
Simple TP Mass-Balance ModelModel Equation
Q Pi - Q P - ks P V = V dP/dt
ks = sedimentation coefficient= α vs / H
α = particulate P / TPvs = sedimentation velocityH = average depth
Simple TP Mass-Balance ModelSteady-State Solution
P = Pi [ 1 / ( 1 + ks τ ) ]
τ = hydraulic detention time= V / Q
Simple TP Mass-Balance ModelTrapping Efficiency
R = 1 - ( P / Pi )
CASE STUDY
Carnegie Lake Watershed
(Jenq, Granstrom, Hsueh, and Uchrin, 1984)
OBJECTIVE FUNCTION
M N
Σ Σ [Cki (Xki) + Cki (Yki) + Cki (Zki)]k=1 i=1
i = tributary counterj = reach counter
CONSTRAINTS
Pki < Ski
Ski = 0.10 mg/L instreamSki = 0.05 mg/L point of lake input
Cost Function (1980 $s) for TP RemovalWWTP Sources
Cost Function (1980 $s) for TP RemovalUrban and Rural Stormwater Sources
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