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DO Sag Curve (Streeter-Phelps)






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DO Sag Curve (Streeter-Phelps). April 17, 2006. Objectives. Draw and discuss the DO sag curve Calculate DO and solve for a variety of unknowns using the DO sag equation. Biota vs. D.O. Typical DO sag curve. Initial Deficit (D a ). 10 8 6 4 2. Saturation DO (Do s ). Deficit. Critical
DO Sag Curve (Streeter-Phelps)

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Slide 1

DO Sag Curve (Streeter-Phelps)

April 17, 2006

Slide 2

Objectives

  • Draw and discuss the DO sag curve

  • Calculate DO and solve for a variety of unknowns using the DO sag equation

Slide 3

Biota vs. D.O.

Slide 4

Typical DO sag curve

Initial Deficit (Da)

10

8

6

4

2

Saturation DO (Dos)

Deficit

Critical

Point

Dissolved Oxygen (mg/L)

DO Concentration (DO)

tc

2 4 6 8 10

Travel Time (d)

Slide 5

What we’re trying to accomplishand how we’re going to do it

  • Calculate the dissolved oxygen deficit using mass balance equation

  • Start with simplified model and calculation

    • BOD

    • Reaeration

    • Initial DO reduction

  • Add some more components to the model

  • Get an equation for D (dissolved oxygen deficit)

  • Get an equation for tc, the “critical time” when the dissolved oxygen is at its lowest point

Slide 6

Very Simplified Model

  • Assume plug-flow and define the control volume as a unit rectangle

  • Follow the movement of the plug which tracks the pollution downstream

  • Determine the initial oxygen content after mixing (La)

Slide 7

Mass-Balance for Initial Condition

Qr, Lr, Tr

Qa, La, Tf (Ta)

Qw, Lw, Tw

Slide 8

Account for other DO gain/loss processes

Reaeration

Decay

Qr, Lr, Tr

Qa, La, Tf (Ta)

Qw, Lw, Tw

Slide 9

Why We Do All of This

  • To determine how much waste can safely be put in a river

  • Process

    • Determine minimum acceptable DO

    • Calculate waste load that keeps critical DO above the minimum

  • If discharged waste is above acceptable limits:

    • More treatment needed

    • Discharger may add dissolved oxygen to wastewater

  • Cautions

    • Be sure to make calculations for worst conditions

    • Remember to consider all dischargers


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