Percentage of Silt for Unit Weight of Deposits Calculator

✖Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.ⓘ Average Unit Weight of Deposit [W_av]			+10% -10%
✖Percentage of Sand on weight basis present in the sediment deposit.ⓘ Percentage of Sand [p_sa]			+10% -10%
✖Unit Weight of Sand is the weight (mass multiplied by gravity) per unit volume of sand material at the end of the first year.ⓘ Unit Weight of Sand [W₁]			+10% -10%
✖Constant B1 is related to the compacting characteristics of the sediment components.ⓘ Constant B1 [B₁]			+10% -10%
✖Age of Sediment is the time elapsed since the material was deposited in years.ⓘ Age of Sediment [T]			+10% -10%
✖Percentage of Clay on weight basis present in the sediment deposit.ⓘ Percentage of Clay [p_cl]			+10% -10%
✖Unit Weight of Clay is the weight (mass multiplied by gravity) per unit volume of clay material at the end of the first year.ⓘ Unit Weight of Clay [W₃]			+10% -10%
✖Constant B3 is related to the compacting characteristics of the sediment components.ⓘ Constant B3 [B₃]			+10% -10%
✖Unit Weight of Silt is the weight (mass multiplied by gravity) per unit volume of silt material at the end of the first year.ⓘ Unit Weight of Silt [W₂]			+10% -10%
✖Constant B2 is related to the compacting characteristics of the sediment components.ⓘ Constant B2 [B₂]			+10% -10%

✖Percentage of Silt on weight basis present in the sediment deposit.ⓘ Percentage of Silt for Unit Weight of Deposits [p_si]

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Formula

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Percentage of Silt for Unit Weight of Deposits

Formula

`"p"_{"si"} = (("W"_{"av"})-(("p"_{"sa"}/100)*("W"_{"1"}+"B"_{"1"}*log10("T")))-(("p"_{"cl"}/100)*("W"_{"3"}+"B"_{"3"}*log10("T"))))/(("W"_{"2"}+"B"_{"2"}*log10("T"))/100)`

Example

`"35.05232"=(("15.06kN/m³")-(("20.0"/100)*("16.4kN/m³"+"0.20"*log10("25Year")))-(("31.3"/100)*("16kN/m³"+"40"*log10("25Year"))))/(("19kN/m³"+"0.10"*log10("25Year"))/100)`

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Percentage of Silt for Unit Weight of Deposits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100)
p_si = ((W_av)-((p_sa/100)*(W₁+B₁*log10(T)))-((p_cl/100)*(W₃+B₃*log10(T))))/((W₂+B₂*log10(T))/100)
This formula uses 1 Functions, 11 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Percentage of Silt - Percentage of Silt on weight basis present in the sediment deposit.
Average Unit Weight of Deposit - (Measured in Newton per Cubic Meter) - Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.
Percentage of Sand - Percentage of Sand on weight basis present in the sediment deposit.
Unit Weight of Sand - (Measured in Newton per Cubic Meter) - Unit Weight of Sand is the weight (mass multiplied by gravity) per unit volume of sand material at the end of the first year.
Constant B1 - Constant B1 is related to the compacting characteristics of the sediment components.
Age of Sediment - (Measured in Second) - Age of Sediment is the time elapsed since the material was deposited in years.
Percentage of Clay - Percentage of Clay on weight basis present in the sediment deposit.
Unit Weight of Clay - (Measured in Newton per Cubic Meter) - Unit Weight of Clay is the weight (mass multiplied by gravity) per unit volume of clay material at the end of the first year.
Constant B3 - Constant B3 is related to the compacting characteristics of the sediment components.
Unit Weight of Silt - (Measured in Newton per Cubic Meter) - Unit Weight of Silt is the weight (mass multiplied by gravity) per unit volume of silt material at the end of the first year.
Constant B2 - Constant B2 is related to the compacting characteristics of the sediment components.

STEP 1: Convert Input(s) to Base Unit

Average Unit Weight of Deposit: 15.06 Kilonewton per Cubic Meter --> 15060 Newton per Cubic Meter (Check conversion here)
Percentage of Sand: 20 --> No Conversion Required
Unit Weight of Sand: 16.4 Kilonewton per Cubic Meter --> 16400 Newton per Cubic Meter (Check conversion here)
Constant B1: 0.2 --> No Conversion Required
Age of Sediment: 25 Year --> 788923800 Second (Check conversion here)
Percentage of Clay: 31.3 --> No Conversion Required
Unit Weight of Clay: 16 Kilonewton per Cubic Meter --> 16000 Newton per Cubic Meter (Check conversion here)
Constant B3: 40 --> No Conversion Required
Unit Weight of Silt: 19 Kilonewton per Cubic Meter --> 19000 Newton per Cubic Meter (Check conversion here)
Constant B2: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_si = ((W_av)-((p_sa/100)*(W₁+B₁*log10(T)))-((p_cl/100)*(W₃+B₃*log10(T))))/((W₂+B₂*log10(T))/100) --> ((15060)-((20/100)*(16400+0.2*log10(788923800)))-((31.3/100)*(16000+40*log10(788923800))))/((19000+0.1*log10(788923800))/100)

Evaluating ... ...

p_si = 35.0523230417138

STEP 3: Convert Result to Output's Unit

35.0523230417138 --> No Conversion Required

FINAL ANSWER

35.0523230417138 ≈ 35.05232 <-- Percentage of Silt

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Erosion and Reservoir Sedimentation » Erosion and Sediment Deposits » Density of Sediment Deposits » Percentage of Silt for Unit Weight of Deposits

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< 8 Density of Sediment Deposits Calculators

Percentage of Sand given Unit Weight of Deposit

Go Percentage of Sand = ((Average Unit Weight of Deposit)-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Sand+Constant B1*log10(Age of Sediment))/100)

Percentage of Clay given Unit Weight of Deposit

Go Percentage of Clay = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment))))/((Unit Weight of Clay+Constant B3*log10(Age of Sediment))/100)

Percentage of Silt for Unit Weight of Deposits

Go Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100)

Rough Estimation for Unit Weight of Deposit by Koelzer and Lara Formula

Go Unit Weight of Deposit = ((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))+((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))+((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment)))

Equation for Weighted Value of Sand, Silt and Clay

Go Weighted Value of B = (Average Unit Weight of Deposit-Initial Unit Weight)/(0.4343*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1))

Average Unit Weight of Sediment Deposit during Period of T Years

Go Average Unit Weight of Deposit = Initial Unit Weight+(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)

Initial Unit Weight given Average Unit Weight of Deposit

Go Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)

Weighted Value given Average Unit Weight of Deposit

Go Weighted Value of B = ((Percentage of Sand*Constant B1)+(Percentage of Silt*Constant B2)+(Percentage of Clay*Constant B3))/100

Percentage of Silt for Unit Weight of Deposits Formula

What is Reservoir sedimentation?

Reservoir sedimentation is the gradual accumulation of the incoming sediment load from a river. This accumulation is a serious problem in many parts of the world and has severe consequences for water management, flood control, and production of energy.

How to Calculate Percentage of Silt for Unit Weight of Deposits?

Percentage of Silt for Unit Weight of Deposits calculator uses Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100) to calculate the Percentage of Silt, The Percentage of Silt for Unit Weight of Deposits formula is defined as the total percentage of silt on a weight basis present in the sediment deposit. Percentage of Silt is denoted by p_si symbol.

How to calculate Percentage of Silt for Unit Weight of Deposits using this online calculator? To use this online calculator for Percentage of Silt for Unit Weight of Deposits, enter Average Unit Weight of Deposit (W_av), Percentage of Sand (p_sa), Unit Weight of Sand (W₁), Constant B1 (B₁), Age of Sediment (T), Percentage of Clay (p_cl), Unit Weight of Clay (W₃), Constant B3 (B₃), Unit Weight of Silt (W₂) & Constant B2 (B₂) and hit the calculate button. Here is how the Percentage of Silt for Unit Weight of Deposits calculation can be explained with given input values -> 35.05232 = ((15060)-((20/100)*(16400+0.2*log10(788923800)))-((31.3/100)*(16000+40*log10(788923800))))/((19000+0.1*log10(788923800))/100).

FAQ

What is Percentage of Silt for Unit Weight of Deposits?

The Percentage of Silt for Unit Weight of Deposits formula is defined as the total percentage of silt on a weight basis present in the sediment deposit and is represented as p_si = ((W_av)-((p_sa/100)*(W₁+B₁*log10(T)))-((p_cl/100)*(W₃+B₃*log10(T))))/((W₂+B₂*log10(T))/100) or Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100). Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period, Percentage of Sand on weight basis present in the sediment deposit, Unit Weight of Sand is the weight (mass multiplied by gravity) per unit volume of sand material at the end of the first year, Constant B1 is related to the compacting characteristics of the sediment components, Age of Sediment is the time elapsed since the material was deposited in years, Percentage of Clay on weight basis present in the sediment deposit, Unit Weight of Clay is the weight (mass multiplied by gravity) per unit volume of clay material at the end of the first year, Constant B3 is related to the compacting characteristics of the sediment components, Unit Weight of Silt is the weight (mass multiplied by gravity) per unit volume of silt material at the end of the first year & Constant B2 is related to the compacting characteristics of the sediment components.

How to calculate Percentage of Silt for Unit Weight of Deposits?

The Percentage of Silt for Unit Weight of Deposits formula is defined as the total percentage of silt on a weight basis present in the sediment deposit is calculated using Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100). To calculate Percentage of Silt for Unit Weight of Deposits, you need Average Unit Weight of Deposit (W_av), Percentage of Sand (p_sa), Unit Weight of Sand (W₁), Constant B1 (B₁), Age of Sediment (T), Percentage of Clay (p_cl), Unit Weight of Clay (W₃), Constant B3 (B₃), Unit Weight of Silt (W₂) & Constant B2 (B₂). With our tool, you need to enter the respective value for Average Unit Weight of Deposit, Percentage of Sand, Unit Weight of Sand, Constant B1, Age of Sediment, Percentage of Clay, Unit Weight of Clay, Constant B3, Unit Weight of Silt & Constant B2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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