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GPS-X Technical Reference

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Mantis in CNLIB<br />

Appendix A – Petersen Matrices A-2<br />

Component<br />

j<br />

Process<br />

1 Aerobic<br />

growth<br />

heterotrophs<br />

on ss with snh<br />

2 Anoxic growth<br />

of<br />

heterotrophs<br />

on ss with snh<br />

3 Aerobic<br />

growth of<br />

heterotrophs<br />

on ss with sno<br />

4 Anoxic growth<br />

of<br />

heterotrophs<br />

on ss with sno<br />

5 Decay of<br />

heterotrophs<br />

6 Hydrolysis of<br />

entrapped<br />

organics<br />

7 Hydrolysis of<br />

entrapped<br />

organic<br />

nitrogen<br />

8 Ammonificati<br />

on of soluble<br />

organic<br />

nitrogen<br />

9 Growth of<br />

autotrophs<br />

i<br />

1<br />

SI<br />

2<br />

SS<br />

1<br />

Y H<br />

1<br />

Y H<br />

1<br />

Y H<br />

1<br />

Y H<br />

3<br />

XI<br />

4<br />

XS<br />

5<br />

XBH<br />

1<br />

1<br />

1<br />

1<br />

6<br />

XBA<br />

7<br />

XU<br />

1-fuh -1 fuh<br />

8<br />

XND<br />

ibhnfuh*iuhn<br />

<br />

9<br />

SO<br />

1 Y<br />

Y<br />

<br />

H<br />

H<br />

H<br />

1 Y<br />

Y<br />

H<br />

<br />

<br />

10<br />

SNO<br />

11<br />

SNN<br />

1<br />

Y 1<br />

Y <br />

H<br />

2.86Y<br />

-ibhn<br />

H<br />

H<br />

2.86Y<br />

1<br />

Y 1Y<br />

<br />

H<br />

H<br />

ibhn <br />

2.86*<br />

YH<br />

2.86Y<br />

H<br />

H<br />

12<br />

SNH<br />

-ibhn<br />

-ibhn<br />

13<br />

SND<br />

14<br />

SALK<br />

ibhn<br />

14<br />

ibhn 1<br />

YH<br />

<br />

14 14*2.86* Y<br />

<br />

<br />

ibhn<br />

14<br />

<br />

<br />

Process rate, j<br />

S <br />

S<br />

S <br />

O<br />

S <br />

NH<br />

μ<br />

H<br />

<br />

X<br />

BH<br />

KSH<br />

S<br />

<br />

<br />

S<br />

KOH<br />

S<br />

<br />

<br />

O<br />

K<br />

NH<br />

S<br />

<br />

<br />

<br />

<br />

NH <br />

<br />

<br />

etag H<br />

ibhn 1<br />

YH<br />

<br />

14 14*2.86* Y<br />

S <br />

S<br />

K <br />

AD<br />

S <br />

NH<br />

SNO<br />

H<br />

X<br />

KSH<br />

SS<br />

K<br />

AD<br />

SO<br />

K<br />

NH<br />

SNH<br />

K<br />

NO<br />

S <br />

μ<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

NO <br />

S <br />

S<br />

S <br />

O<br />

K <br />

NH<br />

S <br />

NO<br />

μ<br />

H<br />

<br />

X<br />

KSH<br />

S<br />

<br />

<br />

S<br />

KOH<br />

S<br />

<br />

<br />

O<br />

K<br />

NH<br />

S<br />

<br />

<br />

NH<br />

K<br />

NO<br />

S<br />

<br />

<br />

<br />

<br />

<br />

NO <br />

<br />

<br />

etag<br />

H<br />

b X<br />

H<br />

S <br />

S<br />

K <br />

AD<br />

K <br />

NH<br />

SNO<br />

μ<br />

H<br />

<br />

KSH<br />

S<br />

<br />

<br />

S<br />

K<br />

AD<br />

S<br />

<br />

<br />

O<br />

K<br />

NH<br />

S<br />

<br />

<br />

<br />

<br />

<br />

NH <br />

K<br />

NO<br />

S<br />

X<br />

S <br />

X <br />

BH<br />

S <br />

O<br />

K <br />

OH<br />

S <br />

NO<br />

1 -1 kH<br />

<br />

<br />

etah<br />

X<br />

BH<br />

X<br />

<br />

K<br />

S KOH<br />

S<br />

<br />

<br />

O<br />

KOH<br />

S<br />

<br />

<br />

O<br />

K<br />

NO<br />

S<br />

<br />

<br />

NO<br />

X<br />

<br />

<br />

<br />

X<br />

BH <br />

1<br />

X<br />

-1 1 <br />

ND<br />

r6 <br />

<br />

X<br />

S <br />

<br />

4. 57 Y<br />

Y<br />

A<br />

A<br />

<br />

1<br />

Y A<br />

1 -1 1/14 kA<br />

SNDXBH<br />

1<br />

iban <br />

Y A<br />

<br />

BH<br />

<br />

<br />

iban 1<br />

S<br />

<br />

NH<br />

SNH<br />

SO<br />

μ<br />

A<br />

BA<br />

14 YA<br />

*7<br />

<br />

X<br />

K<br />

NH<br />

S<br />

<br />

<br />

NH<br />

K<br />

NA<br />

S<br />

<br />

<br />

NH<br />

KOA<br />

S<br />

<br />

<br />

O<br />

<br />

<br />

<br />

<br />

<br />

BH<br />

NO<br />

<br />

X<br />

<br />

BH<br />

BH<br />

10 Decay of<br />

autotrophs<br />

1-fua -1 fua<br />

ibanfua*iuan<br />

b X<br />

A<br />

BA<br />

Soluble inert organics<br />

(g COD m -3 )<br />

Readily biodegradable soluble<br />

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

Particulate inert organics<br />

(g COD m -3 )<br />

Slowly biodegradable<br />

particulate 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<br />

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

Particulate biodegradable<br />

organic nitrogen<br />

(g N m -3 )<br />

Oxygen<br />

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

Nitrate and nitrite nitrogen<br />

(g N m -3 )<br />

Dinitrogen<br />

(g N m -3 )<br />

Ammonia nitrogen<br />

(g N m -3 )<br />

Soluble 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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