COD AND NITROGEN STOICHIOMETRIC AND KINETIC MATRIX FOR GROWTH AND DECAY

Components

Process | Soluble COD SS (mg/L COD) | Soluble NH4-N SNH (mg/L N) | Soluble NO3-N SNO (mg/L N) | Dissolved O2, SO (mg/L O2) | Heterotrophic biomass, XBH (mg/L COD) | Autotrophic (Nitrifying) Biomass, XBA (mg/L COD) | Debris, XD (mg/L COD) | Rates ρj

Aerobic Heterotrophic Growth | -1/YH | -iNXB (1) | | - (1 - YH) / YH (2) | 1 | na | na | μH (4) XBH

Aerobic Growth of Autotrophs (Nitrification) | na | -1/YA - iNXB (1) | 1/YA | - (4.57 - YA) / YA (3) | na | 1 | na | μA (5) XBA

Decay and Lysis of Heterotrophs | 1 - fD (6) | iNXB - fD iNXD (1,6) | | na | -1 | na | fD (6) | bH XBH (7)

Decay and Lysis of Autotrophs | 1 - fD (6) | iNXB - fD iNXD (1,6) | | na | na | -1 | fD (6) | bA XBA (8)

(1) iNXB = g-N/g-cell-COD and iNXD = g-N/g-debris-COD

(2) YH = g-heterotroph cell-COD/g-COD consumed

(3) YA = g-autotroph cell-COD/g-NH4-N consumed

(4) μH = μ̂H (SS / (KS + SS)) (SO / (KO + SO)) (d-1)

(5) μA = μ̂A (SNH / (KNH + SNH)) (SO / (KO + SO)) (d-1)

(6) fD = g debris-COD produced/g biomass-COD decayed

(7) bH = specific decay rate for heterotrophs (d-1)

(8) bA = specific decay rate for nitrifying autotrophs (d-1)