THE SCIENCE ASPECTS OF PHOSPHORUS TRADINGwater.rutgers.edu/.../13_ScienceAspectsTrading.pdfTHE...

21
THE SCIENCE ASPECTS OF PHOSPHORUS TRADING Christopher G. Uchrin

Transcript of THE SCIENCE ASPECTS OF PHOSPHORUS TRADINGwater.rutgers.edu/.../13_ScienceAspectsTrading.pdfTHE...

  • 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