Percentage of Clay given Unit Weight of Deposit Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
pcl = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((psi/100)*(W2+B2*log10(T))))/((W3+B3*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 Clay - Percentage of Clay 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 Silt - Percentage of Silt on weight basis present in the sediment deposit.
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.
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.
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 Silt: 35 --> 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
Unit Weight of Clay: 16 Kilonewton per Cubic Meter --> 16000 Newton per Cubic Meter (Check conversion ​here)
Constant B3: 40 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
pcl = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((psi/100)*(W2+B2*log10(T))))/((W3+B3*log10(T))/100) --> ((15060)-((20/100)*(16400+0.2*log10(788923800)))-((35/100)*(19000+0.1*log10(788923800))))/((16000+40*log10(788923800))/100)
Evaluating ... ...
pcl = 31.3607845165969
STEP 3: Convert Result to Output's Unit
31.3607845165969 --> No Conversion Required
FINAL ANSWER
31.3607845165969 31.36078 <-- Percentage of Clay
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Density of Sediment Deposits Calculators

Percentage of Sand given Unit Weight of Deposit
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)))

Percentage of Clay given Unit Weight of Deposit Formula

​LaTeX ​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)
pcl = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((psi/100)*(W2+B2*log10(T))))/((W3+B3*log10(T))/100)

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 Clay given Unit Weight of Deposit?

Percentage of Clay given Unit Weight of Deposit calculator uses 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) to calculate the Percentage of Clay, The Percentage of Clay given Unit Weight of Deposit formula is defined as the total percentage of clay on a weight basis present in the sediment deposit. Percentage of Clay is denoted by pcl symbol.

How to calculate Percentage of Clay given Unit Weight of Deposit using this online calculator? To use this online calculator for Percentage of Clay given Unit Weight of Deposit, enter Average Unit Weight of Deposit (Wav), Percentage of Sand (psa), Unit Weight of Sand (W1), Constant B1 (B1), Age of Sediment (T), Percentage of Silt (psi), Unit Weight of Silt (W2), Constant B2 (B2), Unit Weight of Clay (W3) & Constant B3 (B3) and hit the calculate button. Here is how the Percentage of Clay given Unit Weight of Deposit calculation can be explained with given input values -> 31.36078 = ((15060)-((20/100)*(16400+0.2*log10(788923800)))-((35/100)*(19000+0.1*log10(788923800))))/((16000+40*log10(788923800))/100).

FAQ

What is Percentage of Clay given Unit Weight of Deposit?
The Percentage of Clay given Unit Weight of Deposit formula is defined as the total percentage of clay on a weight basis present in the sediment deposit and is represented as pcl = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((psi/100)*(W2+B2*log10(T))))/((W3+B3*log10(T))/100) or 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). 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 Silt on weight basis present in the sediment deposit, 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, 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.
How to calculate Percentage of Clay given Unit Weight of Deposit?
The Percentage of Clay given Unit Weight of Deposit formula is defined as the total percentage of clay on a weight basis present in the sediment deposit is calculated using 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). To calculate Percentage of Clay given Unit Weight of Deposit, you need Average Unit Weight of Deposit (Wav), Percentage of Sand (psa), Unit Weight of Sand (W1), Constant B1 (B1), Age of Sediment (T), Percentage of Silt (psi), Unit Weight of Silt (W2), Constant B2 (B2), Unit Weight of Clay (W3) & Constant B3 (B3). 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 Silt, Unit Weight of Silt, Constant B2, Unit Weight of Clay & Constant B3 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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