Math Modelling of Ww Treatment Technologies in Industrial Water

8/13/2019 Math Modelling of Ww Treatment Technologies in Industrial Water

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Mathematical modelling of wastewater treatmenttechnologies in industrial water circuits

, ,

P. Grau, I. Lizarralde and L. Sancho



,

/

:



DatabasesStudy by

dynamic/ steady-state simulations:Steady-state model

SOFTWARE TOOL

Dynamic model library

• Water treatmenttechnologies

• Integrated watercircuits

Optimum watercircuits

rary



Water – Solids separation

Unit ProcessesSettlerDAF

Biological Unit Processes

Activated Sludge unitMBRMBBR

MF, UFNF, RO3FM

FACTEvapoconcentratorElectrodialysis

Anaerobic unit (UASB)DenutritorChemical Unit processes

AOPsDisinfection (O3, Cl2, UV)Coagulation-flocculation



:

/



:

: , , : ( 4= )

1 (1 )

1 (1 )

1970

BH S S

S

H

H X S K

S Y +

= · ρ

BH H X b ·= ρ



Mass balance

l / mg3500TSS max ≈

d8SRT ≈

CSTR SETTLERInflow Effluent

Waste


Waste

+

+

+−+

+−

= SRT·Xf

SRT·XSRT·b1

)BODBOD·(Y·SRT·SRT·b·f

SRT·b1)BODBOD·(Y·SRT

·TSS

1HRT 0,II

TSS_COD

0,IH

ef 0HHend

H

ef 0H

maxmin

( )[ ]( ) ( )nsHH

Hnsseff f 1bSRT

b·SRTf 1KBOD

−−−µ+−

=( ) ( )−+−= LM,BHHend

CODHASUreq X·b·f 1

HRTS·Y1

·1000V

DO

SRTV

Q ASUw =

inf

minASU Q

HRTV =

uen ua yar a es re a e w cos s



Mass balance

l / mg10000TSS max ≈

d35SRT ≈

+

+

+−+

+−

= SRT·Xf

SRT·XSRT·b1

)BODBOD·(Y·SRT·SRT·b·f

SRT·b1)BODBOD·(Y·SRT

·TSS

1HRT 0,II

TSS_COD

0,IH

ef 0HHend

H

ef 0H

maxmin

( )[ ]( ) ( )nsHH

Hnsseff f 1bSRT

b·SRTf 1KBOD

−−−µ+−

=( ) ( )−+−= LM,BHHend

CODHMBRreq X·b·f 1

HRTS·Y1

·1000V

DO

SRTV

Q MBRw =

inf

minMBR Q

HRTV =

uen ua yar a es re a e w cos s



0.80

1.00

1.20

1.40

1.60

1.80

2.00

e f ( m g

C O D / l )

ASU

MBR

Effluent Quality Variables related with costs

0.30

0.40

0.50

0.60

0.70

0.80

H R T ( d )

ASU

MBR

0.00

0.20

0.40

0.60

0 5000 10000 15000 20000 25000 30000

Mass Flux (kg/d)

B O D

0.00

0.10

0.20

0 5000 10000 15000 20000 25000 30000

Mass Flux (kg/d)

0.00

5000.00

10000.00

15000.00

20000.00

25000.00

30000.00

0 5000 10000 15000 20000 25000 30000

Mass Flux (kg/d)

D O r e q

( g / d )

ASU

MBR

0

1000

2000

3000

4000

5000

6000

7000

8000

0 5000 10000 15000 20000 25000 30000

Mass Flux (kg/d)

S l u d g e p r o

d u c t i o n

( k g / d )

ASU

MBR



inf

minMBR Q

HRTV =

Mass balance

l / mg10000TSS max >

d30SRT >


Waste


Waste

( )

( )nsns

HH

nsHnss

eff ,4SO

f 1HRTf

bSRT

HRTf

bSRTf 1K

S

−−

−−µ

++−==

Effluent Quality Variables related with costs

( )

( )nsns

HH

nsHnss

eff ,CODf 1

HRTf

bSRT

HRTf

bSRTf 1K

S−−

−−µ

++−=

inf 44SO_CODSRB SO·f COD ==

SRTV

Q UASBw =

inf

minUASB Q

HRTV =



( ) ( )

3 (% ) ( )



f f Q,TSS clarclar Q,TSS

slsl Q,TSS

clar

f f nss_Xclar Q

QTSSf TSS =

( ) slf f nss_Xsl Q

QTSSf 1TSS −=

( ) ( ≈≈≈≈ )

clar

f f nss_Xclar Q

QTSSf TSS =

( )sl

f f float_Xsl QQTSSf 1TSS −=

fX_nss depends on the TSSsetteability

fX_floatdepends on the air/solids ratio (aS):ffloat= 0.66aS + 0.79



permQ,Permeateinf Q,Inflow A·)FF1(

P·LQ pp +

∆=

TDS·TCS·TSS·FF α+α+α=

−=

100R

1·CC Cf p

( µµµµ )

( µµµµ ) , %

conc,

permEEPE Q·P·KOP = permEEPE Q·P·KOP =

( ) concEEbwash QTDSTCSTSS·P·KOP ++=airairEair Q·P·KOP =



:

permQ,Permeate

concQ,eConcentrat

inf Q,Inflow

Calculation of Qperm andTDSperm depend on thetechnology used

( )

A·)FF1(

P·LQ p

p +∆Π−∆

=

+=

AQ

B

BCC

pf p

1176.0

·)·273(19.1

−+=∆Π ∑ ∑conc feed

ii mmT

pf p QFz

INCC

ξ−=

compoundsvolatilenonfor0C

compoundsvolatileforCC

p

f p

=

=



:

: : , , ,

mn

o

t

HRT C k N

N ··ln −=

: , , , , ,

Chloramine-Virus

-8.00

-7.00

-6.00

-5.00

-4.00

-3.00

-2.00

-1.00

0.00

0.00 0.50 1.00 1.50 2.00

C·HRT

l n ( n / n

o )

T=5ºC

T=10ºC

T=15ºC

T=20ºC

T=25ºC



Math Modelling of Ww Treatment Technologies in Industrial Water

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