Filter and Media Design for Aquariums

8.8. Filter and Media Design for Aquariums

An illustration is in order. If we have a heavily stocked aquarium (one pound of fish) and are using static K1 media for our filter, how big does a canister filter need to be at one month of operation? For this calculation, we need a table:

This table shows the options available:

BiomediaEffective”
surface area
ft²/ft³
Effective”
surface area
m²/m³
Cubic
inches to
get 5ft²
Cubic inches to get 100ft²
Fluidized K1 media
(60% loading in
sump)
54016320
30 PPI foam in
canister or sump
34025500
30 PPI foam
powerhead operated
sponge
34025500
30 PPI foam air
operated sponge
30029580
Plastic pot scrubbers28031620
Static K1 media26033660
20 PPI foam in
canister or sump
26033660
20 PPI foam
powerhead operated
sponge
26033660
20 PPI foam air
operated sponge
23038751
Powerhead operated
undergravel filter
140621240
Aquarium gravel in
canister or sump
140621240
Air operated
undergravel filter
120721440
Blue Matala pads120721440
1/8 inch garden
pumice or perlite
100861720
Bio balls100861720
Alfagrog801082160
1/2 inch lava rock601442880
Seachem Matrix601442880
Biohome Ultimate402164320
Ceramic rings402164320
Ceramic balls302885760
Expanded clay
pebbles
302885760
Cubic inches to get 5ft² = (5/E.A.)x1,728 100ft²=(100/E.A.x1,728)
filter biomedia efficiency

It is important to note that the Fluidized K1 efficiency is per cubic foot of filter, NOT per cubic foot of K1 filter media. Big difference!

Note that the volume of media in gallons can be obtained by multiplying by  0.0043 (7.5 divided by 1728), for liters multiply by 0.016 (28 divided by 1728) and for cubic feet divide by 1728.

Aulonocara steveni blue neon tanzania
Aulonocara steveni blue neon tanzania

Testing has shown that very roughly ammonia oxidation to nitrate can be done with 5 square feet of media surface per pound of fish. Other testing established that crystal clear, healthy water required 100 square feet of surface area per pound of fish.

That means, for “crystal clear” water clarity filtration and healthy fish after one month of operation with one pound of fish, we need 650 cubic inches of K1 submerged in the stationary submersed static media filter. This is roughly 8 inches by 8 inches by 10 inches of canister filled with K1 media.

For lava rock and Matrix filter media the calculations are surprising. We would need FOUR 8-inch by 8-inch by 10-inch canisters filled with lava rock or Matrix media in order to get crystal clear healthy water.

Aulonocara stuartgranti Cobue
Aulonocara stuartgranti Cobue

Most commercial sump filters rated for a 100-gallon aquarium (i.e. a forty-gallon sump) have a capacity of around four cubic feet. So, they will work very well for filtration if they are filled with K1 media. If they are a fluidized bed design, they become the best filter around, period.  They will also work superbly with urethane foam and pot scrubbers.

Also note that these media volumes are for one pound of fish, about 40 four- to five-inch fish. Obviously if one has an eight-pound arowana multiply these numbers by eight. And if you have only ten five-inch fish divide it by four.

Symphysodon aequifasciatus Discus
Symphysodon aequifasciatus Discus

An Illustration

Here is a comment to this web page and its answer:

“Paul

I have a 75-gallon community tank with an EHEIM 2217 canister filter.  I’m planning to replace all the EHEIM filter media with Swiss Tropical 20 PPI Poret foam.  I’m thinking of having 5 foam pads, each 2” thick and 7” in diameter.   Would this give me the 220 sq. ft of effective surface area mentioned in your chart?  Using one of your other charts, I calculate that I have 0.75 lbs of fish.    Using the 100 sq. ft for 1 lb. of fish metric, I would think I’ll be able to easily accommodate more fish – is that right?   I’m planning to use your recommendation to squeeze liquid from the existing filter pads onto the new pads to jump start the cycling of the new foam.  How long do you think I should wait before adding more fish?  Thanks for your help.

Dave

OK you have a cylinder ten inches tall and 7 inches in diameter. V = π rh = π x 3.5 x 3.5 x 10 = 384   This will give one 384 cubic inches of 20 ppi foam. 12x12x12 is 1,728   So you will have 384/1,728 or 0.222 cubic feet. 0.222 x 260 = 49 square feet. So you can do 0.49 pounds of fish at the 100 square foot per pound of fish metric. At the current time you are at (0.49×100)/0.75 = 65 square feet per pound of fish. 65 square feet is good, but it isn’t 100 square feet. So you cannot accommodate more fish.

.

Ophthalmotilapia ventralis Tanganyika Featherfin
Ophthalmotilapia ventralis Tanganyika Featherfin

Another Example of Aquarium Filter Media Calculations

This exchange is from the comments section of this website:

Question #1

“Hi there,
I’m reaching out for some clarity on ‘Square Feet of Biomedia Surface Area’.  I’m considering the 5″ Poret® Foam Sheets (26 × 19.5″ Sheet) and am wondering what the calculations would be for cubic sq. ft.? I plan on executing the ‘10 ft2/gallon of water’ OR ‘100 ft2/pound of fish.’”

Answer #1

“To calculate the volume the math is 5 inch x 26 inch x 19.5 inch / 12 inch x 12 inch x 12inch = 1.47 cubic feet per sheet of Poret® Foam. With a 20 ppi Poret® foam (what I recommend) which has about 260 square feet of effective surface area per cubic foot, this is 1.47 x 260 = 323 square feet. So If you use the whole sheet of Poret® you can support roughly 3.23 pounds of fish in a healthy environment (100 square feet of surface area per pound of fish). And I don’t recommend “10 ft2/gallon of water”. Go ONLY with the “100 ft2/pound of fish”.

Question #2

“Thank you so much for the reply but I’m still confused. Essentially I’m wondering how many – 5″ deep x 26″ long x 19.5″ high Poret® Foam Sheets, will I need for 13.2 lbs. of fish (24 × 8.8 oz Discus or 24 x 8.8/16)?”

Answer #2

“The calculation for 13.2 pounds of fish is 13.2 pounds divided by 3.23 pounds  equals four sheets of 5″ deep x 26″ long x 19.5″ high Poret® Foam”

These examples illustrate the process very well.

Cincelichthys bocourti
Cincelichthys bocourti

Another Illustration

liam

“I’m currently cycling a 150-160 liter tank which has a sump. In my sump I’m running a foam block for the biological side of filtration which is 12x4x4 inches. It’s a dirtied tank and I’m hoping to have around 20 neon tetras 10 mollys or guppies and a few Cory’s. I’ve been reading on the website about filtration and how foam is one of the best medias for bacterial growth, however I’m unsure if this filter will be big enough to house the bacteria I’ll need?

What are your thoughts please?”

Dave

“In reply to Liam … OK Neons being a very touchy blackwater fish they will need an established filter (i.e. don’t add them for at least three months). When they are added they will need 100 square feet for each pound of fish for the entire stocking. You hit that number almost on the button. 12 x 4 x 4 in inches is 1 x 0.33 x 0.33 = 0.11 cubic feet of foam. Each neon has a metabolic weight of one gram. Each molly and cory (need at least five cory’s) is seven grams metabolic weight. 15 x 7 = 105 105 + 20 = 145 grams 145/454 = 0.32 pounds. 0.32 pounds at 100 square feet per pound is 32 square feet needed. 0.11 cubic inches of foam at 340 square feet per cubic foot is 0.11 x 340 = 37.4 square feet of media. So you have just a little bit more media than you need. This assumes the flow is completely THROUGH the foam and that the foam is 30 pores per inch. Go for it!”

Peacock Super Blue Hybrid 1
Peacock Super Blue Hybrid

Still another illustration:

Question:

How do you calculate the surface area in media used for biological filtration? For example, I have 30 pot scrubbers and some foam in a Fluval 407 canister filter on a 75 gallon tank.

Reply

OK Each pot scrubber is roughly nine cubic inches of media (large pot scrubbers???). 9×30/12x12x12 = 0.156 cubic feet. Pot scrubbers are 260 square feet per cubic foot media (I could be off on that). 0.156x 260 = 40 square feet from the pot scrubbers. If I remember right a 407 has a piece of 30 ppi foam that is 10 inches x 1 inch x 14 inches. 10x1x12/12x12x12= 0.081 cubic feet Foam is about 340 square feet per cubic feet 0.081×340 = 27.5 square feet. 27.5 + 40 = 67.5 square feet in total. That is just off the top of my head. You need to correct the numbers depending on the size of your pot scrubbers and the true size of the 407 foam.

Topic in More Depth

For more on how to calculate filter volume go to these articles:

7.3. Media Volume

7.6. Required Aquarium Filter Media Surface Area


Startpage Aquariumscience

Source: Aquariumscience.org – David Bogert

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