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Islamic University of Gaza  ‐Environmental Engineering Department
Water TreatmentWater Treatment
EENV 4331
Lecture 5:   Filtration
Dr.   Fahid Rabah
1
5. Filtration in water Treatment
5.1 Definition of Sedimentation:
Filtration is a solid –liquid separation process in which the
liquid passes through a porous medium to remove as
much fine suspended solids as possible
5.2 Locations of filtration tanks in water treatment:
Filtration tanks are used in all types of water treatment
plants except for disinfection treatment plants. See
Figures 5.1 through 5.4 illustrating the location of filtration
tanks.
2
River
Screen
River 
Water
Pre‐Sedimentation
Screen
Coagulation Flocculation
Sedimentation
DistributionDisinfection StorageFiltration
Figure 5.1: Filtration Treatment Plant (River 
Water)
3
Screen
Surface 
water
S di t ti
Coagulation Flocculation
Sedimentation
DistributionDisinfection StorageFiltration
Figure 5.2 : Filtration Treatment Plant
4
Ground 
WaterWater
Rapid Mixing Flocculation Sedimentation Recarbonation
DistributionDisinfection StorageFiltration
Figure 5.3: Softening Treatment Plant Single stage  
softeningsoftening
5
Ground 
Water 
well
FiltrationAeration
Distribution
Disinfection Storage
Figure 5.4 : Aeration  Treatment Plant
( iron and manganese removal plant)( iron and manganese removal plant)
6
5. Filtration in water Treatment
5 3 Need for filtration:
 Settling is not sufficient to remove all particles and 
5.3 Need for filtration:
flocs from water. 
 Filtration Needed for fine particles not removed by 
di t tisedimentation.
Filters can also capture Giardia cysts, viruses, and 
asbestos fibersasbestos fibers
Typical overflow qualities from sedimentation tanks 
range from 1 to 10 NTU.  
Filtration, usually rapid sand filtration, is then 
employed for further “polishing”, i.e. to get the 
turbidity to lower than 0 5 NTU (as required byturbidity to lower than 0.5 NTU (as required by 
legislation). 
Rapid sand filtration after prior sedimentation is the
7
Rapid sand filtration after prior sedimentation is the 
most common configuration worldwide
5. Filtration in water Treatment
5.4 Types of filters used in water treatment:
Granular material filters are the most used types of filters
in water treatment. Usually sand, anthracite, and Garnet.y
There are three types of granular filters:
1. Single –medium filters :
one type of media is used: either sand or anthraciteone type of media is used: either sand or anthracite
2. Dual‐media filters: two types of media is used usually sand
and anthraciteand anthracite
3. Multimedia filters: three types of media are used usually
sand , anthracite , and Garnet
Most famous filters in water treatment are Rapid Sand Filters.Most famous filters in water treatment are Rapid Sand Filters.
8
5. Filtration in water Treatment
5.5 Geometry and components of Rapid Sand Filter:y p p
 Rapid sand filters are always rectangular tanks.
 Figures 5.5 to 5.10 show typical Rapid sand filters used in
water treatment.
 Main components of Rapid sand filter are: Main components of Rapid sand filter are:
1. A concrete tank
2. Filter media
3 Under drain system3. Under drain system
4. Backwash system: pressurized water and air lines
9
Figure 5.5 : Rapid sand filter components
10
Figure 5.6a : 
Rapid sand filter components : with gravel and 
11
p p g
perforated pipes under drain system
Fi 5 6b
12
Figure 5.6b : 
Rapid sand filter components : with gravel and 
perforated pipes under drain system
Figure 5.7 : 
Rapid sand filter components : with gravel and 
13
p p g
perforated pipes under drain system
Fi 5 8
14
Figure 5.8: 
Rapid sand filter components: with ducts under‐ drain system
15
Figure 5.9: 
Rapid sand filter components: with nozzle under‐ drain system
5. Filtration in water Treatment
Figure 5.10 :Figure 5.10 : 
Rapid sand filter perforated 
slab and nozzle under‐drain 
system
16
5. Filtration in water Treatment
Figure 5.11 : 
Nozzle used in Rapid sand filterNozzle used in Rapid sand filter
under‐drain system
17
5. Filtration in water Treatment
5.6 Operation of Rapid Sand Filter:
There are two modes of operation of Rapid sand filterThere are two modes of operation of Rapid sand filter
 Filtration mode ( see Figure 5.12 )
 Backwashing mode ( see Figure 5.13 )
18
5. Filtration in water Treatment
5 7 Filtration mode:
• Water flows downward through a bed 
5.7 Filtration  mode:
of sand and gravel
• Particles are captured on and between• Particles are captured on and between 
sand grains
• Filtered water is collected in the under 
drain, sent to disinfectiondrain, sent to disinfection
19
5. Filtration in water Treatment
5 8 Backwash mode:
• Sand is backwashed when
5.8 Backwash  mode:
• Sand is backwashed when 
– It becomes clogged, or
– Turbidity of filtered water gets too high
• During backwash, water is pumpedDuring backwash, water is pumped 
upwards through the sand bed
20
5. Filtration in water Treatment
• Sand becomes “fluidized”, and particles 
are flushed from the sand
• Dirty backwash water is pumped into a 
settling pond and eithersettling pond, and either
– Recycled back into plant, or
Di d– Disposed
• Backwashing can consume 1% to 5% of a 
plant’s production
21
22
Figure 5.12 : Rapid sand filter during 
filtration
23
Figure 5.13 : Rapid sand filter during backwashing
5. Filtration in water Treatment
5.9 Filter media properties
24
Figure 5.14 : filter media grain distribution
5. Filtration in water Treatment
h f l d d h d h l‐These filters use sand and crushed anthracite coal on a 
graded gravel base. 
‐Media layers are arranged in a course to fine gradation in the 
direction of flow, which allows greater depth of penetration of 
floc particles. p
‐Multimedia filters are selected with specific gravities so that 
moderate intermixing between media layers occurs duringmoderate intermixing between media layers occurs during 
backwashing.
25
5. Filtration in water Treatment
5.10 Filter media properties
The filter media is characterized by two main 
parameters: the effective size and the uniformity
Effective  size of the filter media
parameters: the effective  size and the uniformity 
coefficient.
Th ff ti i f th di i th di tThe effective  size of the media is the diameter 
that 10% of the filter media is less than it size and 
is denoted as d10. 
60
d
d
U 
Uniformity coefficient of the filter media
10d
U =Uniformity coefficient
d60 = sieve size that passes 60% by weight
d10 = sieve size that passes 10% by weight
‐ d60  and d10 are found by sieve analysis of the 
media to be used in the filter. 
26
‐Another important  sieve size is d90  that is used
to calculate the backwash rate.
5. Filtration in water Treatment
27
Figure 5.15 : 
Rapid sand media layers
Figure 5.16 : 
Rapid sand 
media layersmedia layers
28
5. Filtration in water Treatment
Table 5.1Table 5.1
29
5. Filtration in water Treatment
Table 5 2Table 5.2
30
5. Filtration in water Treatment
Table 5.3Table 5.3
31
5. Filtration in water Treatment
Figure 5.17 : 
Head loss and effluent turbidity  increase with time during filtration
32
y g
5. Filtration in water Treatment
Figure 5.14 : Head loss in rapid  sand 
filter during filtration cycle
33
filter during filtration cycle
Figure 5.14 : Head loss in rapid  sand filter
34
g p
Head loss in a clean filter
Carmen –Kozeny equation:
2

v
A
V
g
k
L
h
2
3
2
)1(









dA
V

6

sA
Q
v 
Where,
k =dimensionless coefficient , 5 for sand, 6 for anthracite;
v filtration rate m3/m2 d or filtration velocity m/d
 s
v = filtration rate m3/m2.d , or filtration velocity m/d.  
A = the grain surface area;
As = surface area of the sand filter;
V= the grain volume;V= the grain volume;
ε= filter  porosity;  around 0.40 for sand filter
Ф= shape factor ;  1 for spherical particles, 0.70 for sand;
µ=dynamic viscosity; N s/m2
35
µ=dynamic viscosity; N.s/m
ρ= water density; kg/m3
h=head loss in clean filter,m
Example 5.1:
A dual media filter is composed of 0.30 m anthracite (mean particle size  
0.20mm) that is placed over a 0.60 m layer of sand (mean particle size  0.70mm)  
/with a filtration rate of 9.78 m/h. Assume the grain sphericity   ф = 0.75  and 
porosity  (ε) = 0.40 for both. Estimate the headloss in the clean filter at 150C.
A H d l i th th it lA. Head loss in the anthracite layer:
mh 0508.000272.0*
0020*750
6
400*1000*819
)40.01(*00113.0
*6*30.0
2
3
2







B. Head loss in the sand layer:
002.0*75.040.0*1000*81.9 3 



2
mh 6918.000272.0*
007.0*75.0
6
40.0*1000*81.9
)40.01(*00113.0
*5*60.0
2
3
2







B. Head loss in the sand layer:y
mhtotal 743.06918.00508.0 
36
Head loss during filtration
(None clean filter)(None clean filter)
   
Where
   filterdtl bVavh 
Where,
v           = filtration rate m3/m2.d , or filtration velocity m/d.  
a ,b      = coefficients depending on the filter media properties;
Vfilt d = filtered volume per unit area of filter since last backwash; m3/m2Vfiltered    filtered volume per unit area of filter since last backwash; m /m
(hl)t = head loss at any time (t), m 
37
Example 5.2:
A filter has a head loss of 0.30 m when clean ( newly washed), and 1.30 m after 
24 hrs of filtration at a rate of 1.5 L/s.m2 . Estimate the head loss both 
immediately after backwash and 10 hrs later, if the filtration rate is changed to 2 
L/s.m2   . 
A. Estimate the values of a  and  b :



 5.15.1
 0*
1000
5.1
30.0 ba 






 3600*24*
1000
5.1
*
1000
5.1
30.1 ba
By solving the 2 equations simultaneously ,     a= 200,  b = 5.14
B. Calculate head loss for the new flow rate:
 2
  mbH 40.00*200
1000
2
0 
mH 88.13600*10*
1000
2
*14.5200
1000
2
10 






38
10001000
10 



Filtration hydraulics Calculations
39
Filtration  hydraulics Calculations
40
Filtration  hydraulics Calculations
41
Calculations of filter backwash rate 
The backwash flow rate is calculated using the following equations:
 
90
5.0
90
7.33
0408.069.1135
d
G
d
v nb





 3
d  
2
3
90

 gsd
Gn


Where,
b k h t 3/ 2 d
  bdesignb vv 3.1
vb = backwash rate m3/m2.d ,
d90 = sieve size that passes 90% by weight
µ    =dynamic viscosity; N.s/m2
ρ = water density; kg/m3ρ = water density; kg/m3
ρs = filter particles density; kg/m3
Gn =Galileo number, dimensionless
g = gravitational acceleration m/s2 
42
g   = gravitational acceleration, m/s
Calculations of filter expansion
The expansion during backwash is calculated using the following 
equations:q









e
e LL


1
1   22.0









s
designb
e
v
v

  s
Where,
L = bed depth during filtration, m
L = expanded bed depth mLe = expanded bed depth, m
εe = expanded bed porosity, dimensionless
ε=  bed porosity during filtration , dimensionless
v = settling velocity of the filter particles m/svs= settling velocity of the filter particles, m/s
43
Calculations of headloss during  filter backwash
Headloss during backwashing is calculated using the following 
equation:q
  

 
 seeL
h
1

Where,
Le = expanded bed depth, m
εe = expanded bed porosity, dimensionless
d k / 3ρ = water density; kg/m3
ρs = filter particles density; kg/m3
44
Backwash hydraulics Calculations
45
Backwash hydraulics Calculations
46
Backwash hydraulics Calculations
47
Backwash hydraulics Calculations
48
Filtration hydraulics Calculations
49
Filtration  hydraulics Calculations
50
Filtration  hydraulics Calculations
51

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