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Sludge Volume Index Formula

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Sludge Volume Index is the volume occupied by 1 gram of activated sludge after 30 minutes of settling in a 1-liter graduated cylinder. SVI is expressed in milliliters per gram. Check FAQs

SVI = (V ob \cdot \frac{1000}{X})

SVI - Sludge Volume Index?V_ob - Sludge Volume?X - MLSS?

Sludge Volume Index Example

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With units

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Here is how the Sludge Volume Index equation looks like with Values.

Here is how the Sludge Volume Index equation looks like with Units.

Here is how the Sludge Volume Index equation looks like.

150.5833 = (180.7 \cdot \frac{1000}{1200})

150.5833mL/g = (180.7 \cdot \frac{1000}{1200mg/L})

150.5833 = (180.7 \cdot \frac{1000}{1200})

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Sludge Volume Index Solution

Follow our step by step solution on how to calculate Sludge Volume Index?

FIRST Step Consider the formula

SVI = (V ob \cdot \frac{1000}{X})

Next Step Substitute values of Variables

∴

SVI = (180.7 \cdot \frac{1000}{1200mg/L})

Next Step Prepare to Evaluate

∴

SVI = (180.7 \cdot \frac{1000}{1200})

Next Step Evaluate

∴

SVI = 0.150583333333333m³/kg

Next Step Convert to Output's Unit

∴

SVI = 150.583333333333mL/g

LAST Step Rounding Answer

∴

SVI = 150.5833mL/g

Sludge Volume Index Formula Elements

Variables

Sludge Volume Index

Sludge Volume Index is the volume occupied by 1 gram of activated sludge after 30 minutes of settling in a 1-liter graduated cylinder. SVI is expressed in milliliters per gram.

Symbol: SVI

Measurement: Specific VolumeUnit: mL/g

Note: Value should be greater than 0.

Formulas to find Sludge Volume Index

Sludge Volume

Sludge Volume (mL/L) is represented in terms of milliliter per liter.

Symbol: V_ob

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sludge Volume

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Other formulas in Sludge Volume Index category

Go Sludge Volume Index given Sewage Discharge and MLSS

SVI s = \frac{(\frac{Q r}{Q s})}{(\frac{Q r}{Q s}) \cdot X + X}

Go MLSS given Sludge Volume Index

X = \frac{V ob \cdot 1000}{SVI}

How to Evaluate Sludge Volume Index?

Sludge Volume Index evaluator uses Sludge Volume Index = (Sludge Volume*1000/MLSS) to evaluate the Sludge Volume Index, The Sludge Volume Index formula is defined as the settling characteristics of sludge in the aeration tank in Activated Sludge Process. Sludge Volume Index is denoted by SVI symbol.

How to evaluate Sludge Volume Index using this online evaluator? To use this online evaluator for Sludge Volume Index, enter Sludge Volume (V_ob) & MLSS (X) and hit the calculate button.

FAQs on Sludge Volume Index

What is the formula to find Sludge Volume Index?

The formula of Sludge Volume Index is expressed as Sludge Volume Index = (Sludge Volume*1000/MLSS). Here is an example- 150583.3 = (180.7*1000/1.2).

How to calculate Sludge Volume Index?

With Sludge Volume (V_ob) & MLSS (X) we can find Sludge Volume Index using the formula - Sludge Volume Index = (Sludge Volume*1000/MLSS).

Can the Sludge Volume Index be negative?

No, the Sludge Volume Index, measured in Specific Volume cannot be negative.

Which unit is used to measure Sludge Volume Index?

Sludge Volume Index is usually measured using the Milliliter per Gram[mL/g] for Specific Volume. Cubic Meter per Kilogram[mL/g], Cubic Centimeter per Gram[mL/g], Liter per Kilogram[mL/g] are the few other units in which Sludge Volume Index can be measured.

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