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GPS-X Technical Reference

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A-6 Appendix A –Petersen Matrices<br />

Process<br />

1 Aerobic hydrolysis of XS<br />

k<br />

H<br />

SO<br />

<br />

KOH<br />

SO<br />

<br />

X<br />

S<br />

X<br />

BH<br />

<br />

<br />

<br />

K<br />

X<br />

X<br />

S<br />

X<br />

BH<br />

<br />

X<br />

<br />

BH<br />

Process Rate, j<br />

2 Anoxic hydrolysis of XS<br />

3 Anaerobic hydrolysis of XS<br />

4 Aerobic growth of heterotrophs on SF<br />

5 Aerobic growth of heterotrophs on SLF<br />

6 Denitrification with SF<br />

7 Denitrificaton with SLF<br />

8 Fermentation<br />

9 Lysis of heterotrophs<br />

10 Storage of XBT by XBP<br />

11 Aerobic storage of XPP by XBP<br />

12 Anoxic storage of XPP by XBP<br />

13 Aerobic growth of XBP on XBT<br />

14 Anoxic growth of XBP on XBT<br />

k<br />

k<br />

H<br />

H<br />

η<br />

η<br />

NO3HYD<br />

FE<br />

S<br />

μH<br />

<br />

K<br />

S<br />

μH<br />

<br />

K<br />

μ<br />

μ<br />

q<br />

H<br />

H<br />

FE<br />

η<br />

η<br />

K <br />

OH<br />

SNO<br />

<br />

KOH<br />

S<br />

<br />

<br />

<br />

O <br />

KNO<br />

S<br />

K <br />

OH<br />

KNO<br />

<br />

KOH<br />

S<br />

<br />

<br />

<br />

O <br />

KNO<br />

S<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

NO<br />

NO<br />

<br />

X<br />

S<br />

X<br />

BH<br />

<br />

<br />

<br />

K<br />

X<br />

X<br />

S<br />

X<br />

<br />

X<br />

S<br />

X<br />

BH<br />

<br />

<br />

<br />

K<br />

X<br />

X<br />

S<br />

X<br />

S<br />

<br />

<br />

<br />

BH<br />

BH<br />

<br />

X<br />

<br />

<br />

X<br />

<br />

O<br />

F<br />

F<br />

NH<br />

P<br />

OH<br />

S <br />

O<br />

KF<br />

S <br />

F<br />

SF<br />

S <br />

LF<br />

KNH<br />

S <br />

NH<br />

KPO4<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

S<br />

BH<br />

<br />

<br />

<br />

BH<br />

S <br />

<br />

<br />

S<br />

<br />

<br />

P <br />

K<br />

O<br />

LF<br />

LF<br />

NH<br />

P<br />

OH<br />

S <br />

O<br />

KLFHET<br />

S <br />

LF<br />

SF<br />

S <br />

LF<br />

KNH<br />

S <br />

NH<br />

KPO4<br />

NO3HET<br />

NO3HET<br />

K<br />

<br />

K<br />

<br />

<br />

<br />

S<br />

S<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

<br />

<br />

<br />

SALK<br />

S<br />

ALK<br />

S <br />

<br />

<br />

S<br />

<br />

<br />

P <br />

K<br />

ALK<br />

ALK<br />

SALK<br />

S<br />

OH<br />

NO<br />

F<br />

F<br />

NH<br />

P<br />

OH<br />

S <br />

O<br />

KNO<br />

S <br />

NO<br />

KF<br />

S <br />

F<br />

SF<br />

S <br />

LF<br />

KNH<br />

S <br />

NH<br />

KPO4<br />

K<br />

<br />

K<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

S<br />

S<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

<br />

X<br />

<br />

ALK<br />

BH<br />

<br />

X<br />

<br />

BH<br />

S <br />

<br />

<br />

S<br />

<br />

<br />

P <br />

K<br />

OH<br />

NO<br />

LF<br />

LF<br />

NH<br />

P<br />

OH<br />

S <br />

O<br />

KNO<br />

S <br />

NO<br />

KLFHET<br />

S <br />

LF<br />

SF<br />

S <br />

LF<br />

KNH<br />

S <br />

NH<br />

KPO4<br />

K <br />

OH<br />

KNO<br />

<br />

KOH<br />

S<br />

<br />

<br />

<br />

O <br />

KNO<br />

S<br />

b X H BH<br />

q<br />

q<br />

PHA<br />

PHA<br />

ρ 11<br />

μ<br />

<br />

<br />

K<br />

SLF<br />

S<br />

LFPAO<br />

LF<br />

<br />

<br />

<br />

<br />

K<br />

ALK<br />

NO<br />

<br />

SF<br />

<br />

<br />

<br />

KF<br />

S<br />

SALK<br />

S<br />

ALK<br />

S <br />

O<br />

S <br />

P<br />

S<br />

ALK<br />

<br />

KOH<br />

S<br />

<br />

<br />

O<br />

KPS<br />

S<br />

<br />

<br />

<br />

<br />

P <br />

K<br />

ALK<br />

S<br />

η<br />

PHO<br />

ρ 13<br />

NO3PAO<br />

S<br />

<br />

K<br />

η<br />

KOH<br />

<br />

KOH<br />

S<br />

O<br />

<br />

<br />

<br />

<br />

K<br />

S<br />

SNO<br />

S<br />

NO<br />

F<br />

<br />

<br />

<br />

<br />

K<br />

SALK<br />

S<br />

ALK<br />

<br />

X<br />

PP<br />

X<br />

BP<br />

<br />

<br />

<br />

KPP<br />

X<br />

PP<br />

X<br />

NO<br />

<br />

<br />

<br />

O<br />

NH<br />

P<br />

OH<br />

S <br />

O<br />

KNH<br />

S <br />

NH<br />

KPO4<br />

NO3PAO<br />

<br />

<br />

<br />

KOH<br />

<br />

KOH<br />

S<br />

O<br />

<br />

<br />

<br />

<br />

K<br />

<br />

<br />

<br />

SNO<br />

S<br />

NO<br />

NO<br />

ALK<br />

<br />

<br />

<br />

<br />

K<br />

S <br />

<br />

<br />

S<br />

<br />

<br />

P <br />

K<br />

<br />

<br />

<br />

PHA<br />

<br />

<br />

<br />

ALK<br />

BP<br />

S<br />

<br />

X<br />

<br />

<br />

X<br />

<br />

X<br />

BT<br />

X<br />

X<br />

SALK<br />

S<br />

ALK<br />

BT<br />

BP<br />

ALK<br />

BP<br />

BH<br />

X<br />

BP<br />

<br />

<br />

<br />

<br />

K<br />

<br />

<br />

<br />

S<br />

<br />

<br />

<br />

X<br />

PP<br />

KMAX<br />

<br />

<br />

X<br />

BP<br />

<br />

<br />

X<br />

KIPP<br />

KMAX<br />

<br />

<br />

X<br />

PHA<br />

X<br />

BT<br />

X<br />

X<br />

BT<br />

BP<br />

X<br />

BP<br />

<br />

X<br />

<br />

SALK<br />

S<br />

ALK<br />

S <br />

<br />

<br />

S<br />

<br />

<br />

P <br />

K<br />

BP<br />

PP<br />

BP<br />

<br />

<br />

X<br />

<br />

<br />

<br />

BP<br />

ALK<br />

ALK<br />

SALK<br />

S<br />

<br />

X<br />

<br />

ALK<br />

BH<br />

<br />

X<br />

<br />

BH<br />

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

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