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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100)
psi = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((pcl/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 of Age 'T' years. Unit Weight is the weight per unit volume of a material.
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 at the end of first year. 1 unit of sand is equal to 100 cubic feet.
Constant relating to Compacting Characteristics 1 - Constant relating to Compacting Characteristics 1 of the sediment Components.
Age of Sediment in years - (Measured in Second) - Age of Sediment in years is how much the sediment has aged 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 at the end of first year. Unit Weight is the weight per unit volume of a material.
Constant relating to Compacting Characteristics - Constant relating to Compacting Characteristics of the sediment Components.
Unit Weight of Silt - (Measured in Newton per Cubic Meter) - Unit Weight of Silt at the end of first year. Unit Weight is the weight per unit volume of a material.
Constant relating to Compacting Characteristics 2 - Constant relating to Compacting Characteristics 2 of the sediment Components.
STEP 1: Convert Input(s) to Base Unit
Average Unit Weight of Deposit: 15.05 Kilonewton per Cubic Meter --> 15050 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 relating to Compacting Characteristics 1: 0.2 --> No Conversion Required
Age of Sediment in years: 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 relating to Compacting Characteristics: 40 --> No Conversion Required
Unit Weight of Silt: 19 Kilonewton per Cubic Meter --> 19000 Newton per Cubic Meter (Check conversion here)
Constant relating to Compacting Characteristics 2: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
psi = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((pcl/100)*(W3+B3*log10(T))))/((W2+B2*log10(T))/100) --> ((15050)-((20/100)*(16400+0.2*log10(788923800)))-((31.3/100)*(16000+40*log10(788923800))))/((19000+0.1*log10(788923800))/100)
Evaluating ... ...
psi = 34.9996939272037
STEP 3: Convert Result to Output's Unit
34.9996939272037 --> No Conversion Required
FINAL ANSWER
34.9996939272037 34.99969 <-- Percentage of Silt
(Calculation completed in 00.020 seconds)

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8 Density of Sediment Deposits Calculators

Rough estimation for unit weight of deposit due to Koelzer and Lara
Go Unit Weight due to Koelzer and Lara = ((Percentage of Sand/100)*(Unit Weight of Sand+Constant relating to Compacting Characteristics 1*log10(Age of Sediment in years)))+((Percentage of Silt/100)*(Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years)))+((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years)))
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 relating to Compacting Characteristics 2*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Sand+Constant relating to Compacting Characteristics 1*log10(Age of Sediment in years))/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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Silt/100)*(Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))))/((Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))/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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100)
Weighted Value given Average Unit Weight of Deposit
Go Weighted Value of B = ((Percentage of Sand*Constant relating to Compacting Characteristics 1)+(Percentage of Silt*Constant relating to Compacting Characteristics 2)+(Percentage of Clay*Constant relating to Compacting Characteristics))/100
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 in years/(Age of Sediment in years-1))*ln(Age of Sediment in years))-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 in years/(Age of Sediment in years-1))*ln(Age of Sediment in years))-1)
Average Unit Weight of Deposit during period of T years
Go Average Unit Weight of Deposit = Initial Unit Weight+(0.4343*Weighted Value of B)*(((Age of Sediment in years/(Age of Sediment in years-1))*ln(Age of Sediment in years))-1)

Percentage of Silt for Unit Weight of Deposits Formula

Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100)
psi = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((pcl/100)*(W3+B3*log10(T))))/((W2+B2*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 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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100) to calculate the Percentage of Silt, The Percentage of Silt for Unit Weight of Deposits is defined as the total Percentage of Sand on weight basis present in the sediment deposit. Percentage of Silt is denoted by psi 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 (Wav), Percentage of Sand (psa), Unit Weight of Sand (W1), Constant relating to Compacting Characteristics 1 (B1), Age of Sediment in years (T), Percentage of Clay (pcl), Unit Weight of Clay (W3), Constant relating to Compacting Characteristics (B3), Unit Weight of Silt (W2) & Constant relating to Compacting Characteristics 2 (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 -> 23.20679 = ((15050)-((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 is defined as the total Percentage of Sand on weight basis present in the sediment deposit and is represented as psi = ((Wav)-((psa/100)*(W1+B1*log10(T)))-((pcl/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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100). Average Unit Weight of Deposit of Age 'T' years. Unit Weight is the weight per unit volume of a material, Percentage of Sand on weight basis present in the sediment deposit, Unit Weight of Sand at the end of first year. 1 unit of sand is equal to 100 cubic feet, Constant relating to Compacting Characteristics 1 of the sediment Components, Age of Sediment in years is how much the sediment has aged in years, Percentage of Clay on weight basis present in the sediment deposit, Unit Weight of Clay at the end of first year. Unit Weight is the weight per unit volume of a material, Constant relating to Compacting Characteristics of the sediment Components, Unit Weight of Silt at the end of first year. Unit Weight is the weight per unit volume of a material & Constant relating to Compacting Characteristics 2 of the sediment Components.
How to calculate Percentage of Silt for Unit Weight of Deposits?
The Percentage of Silt for Unit Weight of Deposits is defined as the total Percentage of Sand on 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 relating to Compacting Characteristics 1*log10(Age of Sediment in years)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant relating to Compacting Characteristics*log10(Age of Sediment in years))))/((Unit Weight of Silt+Constant relating to Compacting Characteristics 2*log10(Age of Sediment in years))/100). To calculate Percentage of Silt for Unit Weight of Deposits, you need Average Unit Weight of Deposit (Wav), Percentage of Sand (psa), Unit Weight of Sand (W1), Constant relating to Compacting Characteristics 1 (B1), Age of Sediment in years (T), Percentage of Clay (pcl), Unit Weight of Clay (W3), Constant relating to Compacting Characteristics (B3), Unit Weight of Silt (W2) & Constant relating to Compacting Characteristics 2 (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 relating to Compacting Characteristics 1, Age of Sediment in years, Percentage of Clay, Unit Weight of Clay, Constant relating to Compacting Characteristics, Unit Weight of Silt & Constant relating to Compacting Characteristics 2 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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