Reservoir Formation Damage Episode 2 Part 4 doc

Cake Filtration: Mechanism, Parameters and Modeling 307

Table 12-2

Model Input Parameters*

Parameter Symbol

Cake porosity without 10 _ ,_ 0

compaction and small *

particle retention, cm

3

pore volume/cm3

bulk

volume

Cake particle volume e ° — 1 — d) °

fraction cm

3

particle/cm3 J

bulk volume

Particle density, g/cm3

p

Carrier fluid (water) p

density, g/cm3

Slurry total particle (w )

mass fraction,

V *f'**ry

g particles/g slurry

Slurry total particle Lj ]

volume fraction, cm

3 P sturry

particles/c/M3

slurry

Slurry total particle (w

/• ) P

mass per carrier fluid (c I — ••••*• • ."?—

volume, g particle/cm3

* rry 1 — \W ^ J

carrier fluid

1

~

p

'|>-)-

Data 1 Data II

0.39* 0.73C

0.61C

0.21d

1.18* 1.18*

0.97* 0.97"

0.101* —

— 0.2'

>, 0.109C

0.295C

rv

i

ny

Slurry carrier fluid vol- / \ -t + fc ) /P f1

0-915e

0.8C

ume fraction, cm

3

carrier ^ ''shiny L V PI

'shiny /"P\

fluid/cm3

slurry = 1 - (a ) V Pf 'shiny

Slurry carrier fluid (u \

volumetric flux, cm

3 s ***

carrier fluid/(cm2

cake

surface • s)

Slurry injection pres- pe

sure, atm

Filter outlet pressure, pe

atm

2.0 x I O'3

2.0 xlO'3

b d

8.9° 8.9*

1.0" 1.0*

* Civan, F., 1998b; reprinted by permission of the AIChE, ©1998 AIChE—All rights reserved.

308 Reservoir Formation Damage

Parameter

Table 12-2 (continued)

Symbol Data I Data

Slurry small particles

mass per carrier fluid

volume, g small parti￾cles/cm3

carrier fluid

lurry 0.049" 0.059"

Slurry small particles

volume per carrier fluid

volume, cm

3

small parti￾cles/cm3

carrier fluid

0.415C

Filtrate small particle

mass per carrier fluid

volume, g small parti￾cle/on3

carrier fluid

0, 0.005° 0, 0.005"

Filter thickness, cm Lf 0.5° 0.5"

Slurry side filter radius,

cm

5.08"

Filtrate side filter radius,

cm

2.54"

Rate constant for small

particle deposition

within the cake, s'1

l.OxHT6

"-

Rate constant for small

particle entrainment

within the cake, s

l

kt

4.35

5.0 xl(T7

"'

Rate constant for total

particle deposition over

the slurry side cake

surface, dimensionless

1.0"

Rate constant for total

particle erosion over the

slurry side cake surface,

0

s

0*

Rate constant for small

particle deposition over

the slurry side cake

surface, dimensionless

0.05"'"

0."'"

Rate constant for small

particle erosion over the

slurry side cake surface,

0.' 0.'

Parameter

dimensionless

30. 30.0