anaerobic fundamentals cod balance

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1 CIE4485 Wastewater Treatment Prof.dr.ir. Jules van Lier 11. Anaerobic Treatment Fundamentals COD Balance

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Page 1: Anaerobic Fundamentals COD Balance

1

CIE4485

Wastewater Treatment

Prof.dr.ir. Jules van Lier

11. Anaerobic Treatment Fundamentals COD Balance

Page 2: Anaerobic Fundamentals COD Balance

1

13 December 2012

Challenge the future

DelftUniversity ofTechnology

CT4485 Wastewater Treatment

Lecture 5a: Anaerobic Treatment Fundamentals COD balanceProf.dr.ir. Jules van Lier

2Anaerobic Wastewater Treatment

Learning objectives

• What does COD actually means?• Making A COD balance over an anaerobic reactor• How to use the COD balance

IWA: Chapter 16Metcalf & Eddy: Chapt.10

Page 3: Anaerobic Fundamentals COD Balance

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3Anaerobic Wastewater Treatment

Anaerobic Conversion of Organic Matter

CH4 / CO2

Methanogenesis

Acetogenesis

Mono- and oligomersamino acids, sugars, fatty acids

Organic Polymersproteins carbohydrates lipids

Hydrolysis

Acidogenesis

Volatile Fatty AcidsLactate Ethanol

AcetateH2 / CO2

What happens with the COD?

4Anaerobic Wastewater Treatment

What is Chemical Oxygen Demand (COD) ??

The “theoretical COD” calculation of organic compound

CnHaObNd

is based on a complete oxidation.The amount of required O2 depends on the oxidation state of C:

CnHaObNd

+a-2b

-3d

Oxidation state:

(2b + 3d - a)/n

Page 4: Anaerobic Fundamentals COD Balance

3

5Anaerobic Wastewater Treatment

Chemical Oxygen Demand (COD)

The required number of O2 molecules for the complete oxidation is:

CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3

The number of electrons made free per atom C in the complete oxidation of CnHaObNd amounts to:

4 – (2b+3d-a)/n (or 4n + a - 2b - 3d)

as +4 is the most oxidized form of C (CO2)

1 O2 accepts max. 4 electrons

6Anaerobic Wastewater Treatment

Chemical Oxygen Demand (COD)

In the standardized COD test with bichromate as oxidizer (150°C) almost all organic compounds

CnHaObNd

are completely converted in CO2 and H2O

But: organic N stays reduced and is converted in NH3

(similar to ‘organic O’)

The required number of O2 molecules for the complete oxidation is (no NOx produced, in contrast to BOD test):

CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3

Page 5: Anaerobic Fundamentals COD Balance

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7Anaerobic Wastewater Treatment

That is Chemical Oxygen Demand (COD) !!

1 “mol” of organic matter demands: ¼ (4n+a-2b-3d) moles O2 or 8(4n+a-2b-3d) g O2

Theoretical COD calculation:CODt = 8(4n+a-2b-3d)/(12n+a+16b +14d)

mg COD/mg CnHaObNd

CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3

8Anaerobic Wastewater Treatment

Page 6: Anaerobic Fundamentals COD Balance

5

9Anaerobic Wastewater Treatment

What is Total Organic Carbon (TOC) ??

Organic matter measured as CO2 after incineration(corrections needed for inorganic carbon in waste sample)

TOCt = 12n / (12n + a + 16b + 14d) g TOC/gCnHaObNd

10Anaerobic Wastewater Treatment

g COD and g TOC per g organic compound (no ‘N’)

Compound n a b g COD (g CnHaOb)

g TOC (g CnHaOb)

COD/TOC ratio

Oxalic acid 2 2 4 0.18 0.27 0.67 Formic acid 1 2 2 0.35 0.26 1.33 Citric acid 6 8 7 0.75 0.38 2.00 Glucose 6 12 6 1.07 0.40 2.67 Lactic acid 3 6 3 1.07 0.40 2.67 Acetic acid 2 4 2 1.07 0.40 2.67 Glycerine 3 8 3 1.22 0.39 3.11 Phenol 6 6 1 2.38 0.77 3.11 Ethylene glycol 2 6 2 1.29 0.39 3.33 Benzene 6 6 0 3.08 0.92 3.33

Acetone 3 6 1 2.21 0.62 3.56 Palmitic acid 16 32 2 3.43 0.75 3.83 Cyclohexane 6 12 0 3.43 0.86 4.00 Ethylene 2 4 0 3.43 0.86 4.00 Ethanol 2 6 1 2.09 0.52 4.00 Methanol 1 4 1 1.50 0.38 4.00 Ethane 2 6 0 3.73 0.80 4.67 Methane 1 4 0 4.00 0.75 5.33

Ratio COD / TOC: 8(4n+a-2b-3d)/(12n) = 8/3 + 2(a-2b-3d)/(3n)

Page 7: Anaerobic Fundamentals COD Balance

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11Anaerobic Wastewater Treatment

12Anaerobic Wastewater Treatment

Calculating the Theoretical Methane Production

Oxidation state of biodegradable compound:

CnHaObNd

+ a

- 2b

- 3d

Oxidation state:

2b + 3d - an

Theoretical methane production depends on: - the biodegradability of the substrate - the oxidation state of the organic compound

Page 8: Anaerobic Fundamentals COD Balance

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13Anaerobic Wastewater Treatment

-4 -2 0 2 4

MEAN OXIDATION STATE OF CARBON

CO

MP

OS

ITIO

N O

F T

HE

BIO

GA

S

0 CH4

100 CO

2

CH450 CO

2

100 CH4

0 CO

2

Urea

Oxalic acid

Citric acid

Carbohydrates, Acetic acid

Proteins

Algae, Bacteria

Fats

Methanol, Methylamine

Formic acid, Carbon monoxide

Theoretical CH4 / CO2 production of various organic compounds

14Anaerobic Wastewater Treatment

Methane Production from CnHaObNd

Basic principles:

- part of C will be completely reduced (CH4)- the other part of the C will be completely oxidized (CO2)- N and O stay completely reduced- the average oxidation state of C stays the same

Page 9: Anaerobic Fundamentals COD Balance

8

15Anaerobic Wastewater Treatment

Methane Production from CnHaObNd

Assumption:

- fraction X of C goes to reduced CH4 (oxidation state C = -4)

- fraction (1-X) of C goes to oxidised CO2 (oxidation state C = +4)

Since the oxidation state does not change:

-4X + 4(1-X) = 2b + 3d - an

x = (a - 2b - 3d)/8n + 4/8

16Anaerobic Wastewater Treatment

Methane Production from CnHaObNd

x = (a - 2b - 3d)/8n + 4/8

so CnHaObNd is converted in:

substitution of x gives: …...

n.x.CH4

n. (1-x).CO2

d NH3

Page 10: Anaerobic Fundamentals COD Balance

9

17Anaerobic Wastewater Treatment

Methane Production from CnHaObNd

CnHaObNd n • X CH4 + n • (1-X) CO2 + d NH3

(n/2 + a/8 – b/4 – 3d/8) CH4 (n/2 – a/8 + b/4 + 3d/8) CO2

Buswell’s formula

x = (a - 2b - 3d)/8n + 4/8

18Anaerobic Wastewater Treatment

Buswell’s formula

Theoretical CH4-yield for a compound CnHaObNd follows from:

CnHaObNd + (n – a/4 – b/2 + 3d/4) H2O

(n/2 + a/8 – b/4 – 3d/8) CH4 + (n/2 – a/8 + b/4 + 3d/8) CO2 + d NH3

Actual methane production differs owing to:

- Limited biodegradability of compounds- Part of organic matter is used for cell growth (bacterial yield) - Possible presence of alternative electron acceptors- High solubility of CO2 / HCO3

- in the water fraction (influences ratio CO2/CH4, not CH4 production)

Page 11: Anaerobic Fundamentals COD Balance

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19Anaerobic Wastewater Treatment

20Anaerobic Wastewater Treatment

COD ‘consumed’ by alternative electron acceptors

1. COD oxidation with sulphate

2. COD oxidation with sulphite

3. COD oxidation with nitrate

Stochiometric calc.: 1 mol SO42- ~2 mol O2

1g SO42- => 0.67 g COD

1 g SO32- => 0.6 g COD

1 g NO3- => 0.65 g COD

1 g NO3- -N => 2.86 g COD

Required COD to be calculated from complete reduction reaction

26

222

4

8 SSe

COSHSOCOD

24

222

3

6 SSe

COSHSOCOD

05

22

5

32

NNe

CONNOCOD

Page 12: Anaerobic Fundamentals COD Balance

11

21Anaerobic Wastewater Treatment

964 5 7 8

pH

1.0

0.4

0.6

0.9

0.8

0.7

0.5

0.3

0.2

0.1

0

Propionate

ButyrateAcetate

pH and the CO2 fraction in the biogas

At low pH:

CH3COOH CH4 + CO2

At neutral pH:

CH3COO- + H2O CH4 + HCO3

-

CH3COOH CH3COO- + H+

22Anaerobic Wastewater Treatment

Metabolism generated alkalinity from protein degradation: decrease in biogas CO2

CnHaObNd + (n - a/4 - b/2 + 3d/4) H2O (n/2 + a/8 - b/4 - 3d/8) CH4 + (n/2 - a/8 + b/4 + 3d/8) CO2 + d NH3

H2O OH- + H+

+

d NH4+

CO2 + H2O H2CO3 H+ + HCO3-

Page 13: Anaerobic Fundamentals COD Balance

12

23Anaerobic Wastewater Treatment

-4 -2 0 2 4

MEAN OXIDATION STATE OF CARBON

CO

MP

OS

ITIO

N O

F T

HE

BIO

GA

S

0 CH4

100 CO

2

CH450 CO

2

100 CH4

0 CO

2

Urea

Oxalic acid

Citric acid

Carbohydrates, Acetic acid

Proteins

Algae, Bacteria

Fats

Methanol, Methylamine

Formic acid, Carbon monoxide

Theoretical CH4 / CO2 production of various organic compounds

Actual production depends on overall wastewater characteristics !

24Anaerobic Wastewater Treatment

0.00

20.00

40.00

60.00

80.00

100.00

120.00

0.00 1.00 2.00 3.00 4.00 5.00 6.00

COD/TOC ratio

CH

4 in

bio

gas

(%)

+4 0 -4-2+2

CH4

Ethane

Methanol, ethanolPalmitic acid

AcetoneBenzene, ethylene glycolGlycerine, phenol

Acetate, glucose, lactic acid

Citric acid, Glycine

Formic acid

Oxalic acid

CO2

Betaine (trimethyl glycine)

Insuline

Phenyl alanine

“C” mean oxidation state

Theoretical CH4 / CO2 production based on COD/TOC ratio

Expected CH4 %in biogas: 18.75 x COD/TOC

Page 14: Anaerobic Fundamentals COD Balance

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25Anaerobic Wastewater Treatment

26Anaerobic Wastewater Treatment

Conversion CH4 production - CODThe oxidation of CH4 requires 2 moles of O2:

CH4 + 2 O2 CO2 + 2H2O

Since “the fraction X” of the compound CnHaObNd that will go to CH4,

The COD of compound CnHaObNd is 2 • “fraction X” mol O2/l or:

2 • (n/2 + a/8 – b/4 – 3d/8) mol O2/l

The “overall” oxidation state of organic compounds will not change during anaerobic conversion:

A COD balance can be made: COD-in = COD-out

x = (a - 2b - 3d)/8n + 4/8

Page 15: Anaerobic Fundamentals COD Balance

14

27Anaerobic Wastewater Treatment

COD-Balance

COD influent COD effluent

COD sludge

COD gas

Anaerobic reactor

CODinfluent = CODeffluent + CODgas + CODsludge

Balance always fits !!!

28Anaerobic Wastewater Treatment

COD influent: - COD soluble- COD solids- COD colloidal

COD effluent: - COD soluble organic- COD soluble inorganic (e.g. H2S) - COD solids- COD dissolved reduced gases

COD gas: - COD CH4

- COD H2S- COD H2

Measurable COD fractions in various compartments

COD sludge: - COD entrapped solids- COD newly grown biomass - COD entrapped

Page 16: Anaerobic Fundamentals COD Balance

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29Anaerobic Wastewater Treatment

1 mol CH4 = 2 mol O2

22.4 l (STP) CH4 = 64 g O2 or 64 g COD1 l CH4 (STP) = 64/22.4 = 2.86 g COD

Or: 1 g COD = 0.35 l CH4 (STP)

Working with the COD BalanceCOD equivalents in produced gas:

COD equivalents in sludge:

1 g sludge - VSS = 1.42 g COD(based on heterotrophic biomass:

C5H7O2N 113 g VSS per mol X)

Question: what is the biogas and sludge production in a UASB treating sugar mill wastewater: - Q = 500 m3/day

- COD = 3.5 kg/m3

- Sludge Yield = 10%- Efficiency = 90%

30Anaerobic Wastewater Treatment

Set up COD Balance

3.5 * 500 = 1750 kg COD/day

90% efficiency = 10% in effluent= 175 kg COD/day

10% sludge Yield:175 kg sludge COD/day123 kg VSS/day

Balance: 1750 - 175 -175 = 1400 kg COD/dag

Anaerobic reactor

= 1400/2.86 = 489,5 m3 CH4/dag

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31Anaerobic Wastewater Treatment

32Anaerobic Wastewater Treatment

CH4/CO2 ratio

What kind of biogas composition do you expect?(Consider sucrose as main component C12H22O11)

X = (a – 2b – 3d)/8n + 4/8 = (22-2*11-0)/(8*12) + 4/8 = 0.5

The composition is 50% CH4 and 50% CO2

• Why CH4 content will be higher in practice?

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33Anaerobic Wastewater Treatment

DimensioningWhat should be the size of the UASB reactor to treat the water?

Use the following equations and assumptions:- reactor volume: Vr=C·Qi/Rv - Volumetric loading rate Rv=10 kg COD/m3/day- Minimum hydraulic retention time Θmin = 8 h = Vr/Qi

- reactor volume: Vr=C·Qi/Rv = 3.5*500/10 = 175 m3

- Minimum hydraulic retention time Θmin = 8 h Θ = 175/500 = 0,35 days = 8.4 hrs > Θmin

so Vr is 175 m3

34Anaerobic Wastewater Treatment

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35Anaerobic Wastewater Treatment

Factors that affect the applicability of anaerobic treatment

• Composition and fluctuations of organic compounds (SS,biodegradability)

• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4

--, NO3-, etc.)

• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems

36Anaerobic Wastewater Treatment

Factors that affect the applicability of anaerobic treatment

• Composition and fluctuations of organic compounds (SS,biodegradability)

• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4

--, NO3-, etc.)

• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems

Page 20: Anaerobic Fundamentals COD Balance

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37Anaerobic Wastewater Treatment

The same effluent also contains 0.2 kg SO42-/m3

.What will be the biogas production under these conditions?

Impact of SO42- on the COD Balance

Per g SO42-, 0.67 g COD will be oxidized:

0.2 kg/m3 * 500 m3/day = 100 kg SO42- / day and thus

67 kg COD consumption

This gives 1400-67=1333 kg CH4-COD/day produced = 466 m3 CH4/day (and 22,4 m3 of H2S if solubility is 0.015 g/L)

26

222

4

8 SSe

COSHSOCOD 1 mol SO42- ~ 2 mol O2

2 mol of COD (64 g)

38Anaerobic Wastewater Treatment

Factors that affect the applicability of anaerobic treatment

• Composition and fluctuations of organic compounds (SS,biodegradability)

• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4

--, NO3-, etc.)

• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems

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39Anaerobic Wastewater Treatment

Effects of pH on anaerobic digestionDirect

• effect on enzyme activity

(charge / tertiary structure of proteins)

• Indirect

• affecting toxicity of various compounds (H2S, NH3, VFA)

• affecting the availability of nutrients

(e.g. by affecting the solubility)

• affecting the availability of substrates (e.g. at pH<6.1, milk

proteins coagulate which makes them less available)

• affecting the availability of CO2

(very low pCO2 at pH>8.0.)

40Anaerobic Wastewater Treatment

4 5 6 7 8 9

Hydrolysis

Acidogenesis

Acetogenesis

Methanogenesis

acetate

hydrogen

pH range methane digestion

Page 22: Anaerobic Fundamentals COD Balance

21

41Anaerobic Wastewater Treatment

Buffer systems

Buffering capacity: capacity of solution to resist pH changes (e.g. added H+ will be neutralised by buffer system)

Buffer system is usually brought by: mixture of weak acid and its conjugate base. The optimum pH of a buffer depends on the pKa/pKb value of the acid/base applied

N.B.:term for buffering capacity with respect to acids: alkalinity, Especially brought by bicarbonate

42Anaerobic Wastewater Treatment

Buffers in AWWT

“Useful” buffers are active in the neutral pH range (6 – 8).

23332 // COHCOCOH HAcNaAc /

2442 / HPOPOH

34 / NHNH

pKa = 6.3 pKa = 10.3 pKa = 4.8

pKa = 7.2 pKa = 9.3

pH = pKa + log (A-/ HA) HSSH /2

pKa = 7.1

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43Anaerobic Wastewater Treatment

Bicarbonate alkalinity

CH3COO- Na+ CH4 + HCO3-

Bicarbonate is generated in the digestion process itself (metabolism generated alkalinity)

If a solution of 5 g NaAc is digested the produced alkalinity is 5/82 = 60 mmol or 60 meq HCO3

-.

44Anaerobic Wastewater Treatment

Metabolism Generated Alkalinity

(digestion of protein)

Assume wastewater contains 2 g/l proteins (~C3H7O2N)

MW= 89 g

1 mole C3H7O2N => 1 mole NH4+-N

2/89 mole =>2/89 mole NH4+-N, or 22 mmole or 22 meq NH4

+-N

This will “bind” 22 meq HCO3-

3242273 NHCO2CHOH2NOHC

43242273 NHHCOCOCHOH2NOHC (pH = 7)

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45Anaerobic Wastewater Treatment

HENRY’S LAW

H2CO3 HCO3- +

H+

CO3- + 2

H+H2O

+CO2 (l)

CO2 (g)

CCO2(l) = H . PCO2

46Anaerobic Wastewater Treatment

PREDICTING THE pH

Where; KH=(H*R*T)-1= henry’s constant (M atm-1)H=henry’s factor =[CO2]g/[H2CO3]aq=1.2R=0.082057 atm deg-1M-1

T= degrees Kelvin (°C+273)PCO2= partial pressure CO2 atm= (%CO2)/100Ka= dissociation constant H2CO3=10-6.3

[HCO3-]=bicarbonate alkalinity (M)=[ALK]-[VFA]

2COH32 PK*]COH[

*]COH[

]HCO[]H[Ka

32

3

2COH3

32 PKKa

]HCO[]H[*]COH[

]HCO[

KaPK]H[

3

COH 2

Page 25: Anaerobic Fundamentals COD Balance

24

47Anaerobic Wastewater Treatment

][][ 2

3

H

KaPKHCO COH

48Anaerobic Wastewater Treatment

Factors that affect the applicability of anaerobic treatment

• Composition and fluctuations of organic compounds (SS,biodegradability)

• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4

--, NO3-, etc.)

• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems

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49Anaerobic Wastewater Treatment

Temperature

• Affects metabolic activity of bacteria

• Affects transfer and solubility of gases

• Affects settleability of biological solids

• Reaction decreases with decreasing temperature (Arrhenius)

• Final degradation extent is proportional to temperature

50Anaerobic Wastewater Treatment

Bacterial Classification on Growth Temperature

I psychrophilic <20°CII mesophilic 20-40 °CIII thermophilic >45°C

(arbitrary borders)

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26

51Anaerobic Wastewater Treatment

Digestion rate at mesophilic temperatures

52Anaerobic Wastewater Treatment

Differences in growth rate mesophiles -thermophiles

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27

53Anaerobic Wastewater Treatment

Temperature effects on immobilized sludge systems

S

d

35ºC30ºC25ºC

- Maximum activity determined by mass transfer limitation

- Under optimum conditions only outer layer is active

- Decrease in temperature affects bacterial conversion rate but ‘granule activity’ is not affected

54Anaerobic Wastewater Treatment