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GPS-X Technical Reference

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Appendix A – Petersen Matrices A-3<br />

ASM1 in CNLIB<br />

Component<br />

i<br />

1<br />

SI<br />

2<br />

SS<br />

3<br />

XI<br />

4<br />

XS<br />

5<br />

XB,H<br />

6<br />

XB,A<br />

7<br />

XU<br />

8<br />

SO<br />

9<br />

SNO<br />

10<br />

SNH<br />

11<br />

SND<br />

12<br />

XND<br />

13<br />

SALK<br />

Process rate<br />

j<br />

Process<br />

1 Aerobic<br />

growth<br />

heterotrophs<br />

2 Anoxic<br />

growth<br />

heterotrophs<br />

<br />

<br />

1<br />

Y<br />

H<br />

1<br />

Y<br />

H<br />

1<br />

1<br />

Y<br />

1<br />

Y<br />

H<br />

H<br />

1 YH<br />

<br />

2.86Y<br />

H<br />

i XB<br />

i XB<br />

i<br />

XB<br />

14<br />

YH<br />

<br />

14<br />

2.86Y<br />

1 XB<br />

H<br />

i<br />

<br />

14<br />

<br />

<br />

mH<br />

mH<br />

S S<br />

<br />

K S S<br />

S<br />

S S<br />

<br />

K S S<br />

S<br />

<br />

<br />

<br />

K<br />

S<br />

OH<br />

<br />

K<br />

<br />

<br />

KOH<br />

O<br />

S<br />

OH<br />

S<br />

O<br />

O<br />

<br />

<br />

X<br />

<br />

<br />

<br />

<br />

K<br />

B,<br />

H<br />

S<br />

NO<br />

NO<br />

S<br />

NO<br />

<br />

<br />

<br />

g<br />

X<br />

<br />

B,<br />

H<br />

3 Aerobic<br />

growth<br />

autotrophs<br />

1<br />

4.57 Y<br />

<br />

Y<br />

A<br />

A<br />

1<br />

Y A<br />

i<br />

XB<br />

1<br />

<br />

Y<br />

A<br />

i XB 1<br />

14 7Y<br />

A<br />

<br />

mA<br />

<br />

<br />

K<br />

S<br />

NH<br />

NH<br />

S<br />

NH<br />

<br />

<br />

<br />

K<br />

S<br />

OA<br />

O<br />

S<br />

O<br />

<br />

<br />

X<br />

<br />

B,<br />

A<br />

4 Decay<br />

heterotrophs<br />

1 <br />

f P<br />

-1<br />

f P<br />

i f<br />

XB<br />

i<br />

P XP<br />

b H X B,<br />

H<br />

5 Decay<br />

autotrophs<br />

1 <br />

f P<br />

-1<br />

f P<br />

i f<br />

XB<br />

i<br />

P XP<br />

b A X B,<br />

A<br />

6 Ammonification<br />

7 Hydrolysis<br />

organic<br />

compounds<br />

8 Hydrolysis<br />

organic N<br />

1 -1<br />

1 -1<br />

1<br />

14<br />

k aSNDXBH<br />

,<br />

k<br />

H<br />

K<br />

X<br />

X<br />

KOH<br />

<br />

h<br />

<br />

KOH<br />

S<br />

S<br />

/ X<br />

X<br />

1 -1 7(<br />

X ND/<br />

X S)<br />

S<br />

B,<br />

H<br />

/ X<br />

O<br />

B,<br />

H<br />

<br />

<br />

<br />

<br />

K<br />

<br />

<br />

K<br />

NO<br />

OH<br />

S<br />

NO<br />

S<br />

SO<br />

S<br />

NO<br />

O<br />

<br />

<br />

<br />

<br />

X<br />

<br />

B , H<br />

Unbiodegradable soluble matter (g<br />

COD m -3 )<br />

Readily biodegradable substrate (g<br />

COD m -3 )<br />

Particulate unbiodegradable matter (g<br />

COD m -3 )<br />

Enmeshed slowly biodegradable<br />

substrate<br />

(g COD m -3 )<br />

Active heterotrophic biomass<br />

(g COD m -3 )<br />

Active autotrophic biomass<br />

(g COD m -3 )<br />

Unbiodegradable particulates from cell<br />

decay (g COD m -3 )<br />

Oxygen (g (-COD) m -3 )<br />

Nitrate and Nitrite nitrogen<br />

(g N m -3 )<br />

Ammonia nitrogen<br />

(g N m -3 )<br />

Soluble biodegradable organic nitrogen<br />

(g N m -3 )<br />

Particulate biodegradable organic<br />

nitrogen<br />

(g N m -3 )<br />

Alkalinity<br />

(mole m -3 )<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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