Equation for Weighted Value of Sand, Silt and Clay 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%
✖Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.ⓘ Initial Unit Weight [W_T1]			+10% -10%
✖Age of Sediment is the time elapsed since the material was deposited in years.ⓘ Age of Sediment [T]			+10% -10%

✖Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.ⓘ Equation for Weighted Value of Sand, Silt and Clay [B_w]

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Equation for Weighted Value of Sand, Silt and Clay Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
B_w = (W_av-W_T1)/(0.4343*(((T/(T-1))*ln(T))-1))
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Weighted Value of B - Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.
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.
Initial Unit Weight - (Measured in Newton per Cubic Meter) - Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.
Age of Sediment - (Measured in Second) - Age of Sediment is the time elapsed since the material was deposited in years.

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)
Initial Unit Weight: 15 Kilonewton per Cubic Meter --> 15000 Newton per Cubic Meter (Check conversion here)
Age of Sediment: 25 Year --> 788923800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_w = (W_av-W_T1)/(0.4343*(((T/(T-1))*ln(T))-1)) --> (15060-15000)/(0.4343*(((788923800/(788923800-1))*ln(788923800))-1))

Evaluating ... ...

B_w = 7.08981175041192

STEP 3: Convert Result to Output's Unit

7.08981175041192 --> No Conversion Required

FINAL ANSWER

7.08981175041192 ≈ 7.089812 <-- Weighted Value of B

(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 » Equation for Weighted Value of Sand, Silt and Clay

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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)))

Equation for Weighted Value of Sand, Silt and Clay Formula

LaTeX 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))
B_w = (W_av-W_T1)/(0.4343*(((T/(T-1))*ln(T))-1))

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 Equation for Weighted Value of Sand, Silt and Clay?

Equation for Weighted Value of Sand, Silt and Clay calculator uses 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)) to calculate the Weighted Value of B, The Equation for Weighted Value of Sand, Silt and Clay formula is defined as the weights of sand, silt and clay in the sample in fractions. Weighted Value of B is denoted by B_w symbol.

How to calculate Equation for Weighted Value of Sand, Silt and Clay using this online calculator? To use this online calculator for Equation for Weighted Value of Sand, Silt and Clay, enter Average Unit Weight of Deposit (W_av), Initial Unit Weight (W_T1) & Age of Sediment (T) and hit the calculate button. Here is how the Equation for Weighted Value of Sand, Silt and Clay calculation can be explained with given input values -> 5.908176 = (15060-15000)/(0.4343*(((788923800/(788923800-1))*ln(788923800))-1)).

FAQ

What is Equation for Weighted Value of Sand, Silt and Clay?

The Equation for Weighted Value of Sand, Silt and Clay formula is defined as the weights of sand, silt and clay in the sample in fractions and is represented as B_w = (W_av-W_T1)/(0.4343*(((T/(T-1))*ln(T))-1)) or 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 Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period, Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase & Age of Sediment is the time elapsed since the material was deposited in years.

How to calculate Equation for Weighted Value of Sand, Silt and Clay?

The Equation for Weighted Value of Sand, Silt and Clay formula is defined as the weights of sand, silt and clay in the sample in fractions is calculated using 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)). To calculate Equation for Weighted Value of Sand, Silt and Clay, you need Average Unit Weight of Deposit (W_av), Initial Unit Weight (W_T1) & Age of Sediment (T). With our tool, you need to enter the respective value for Average Unit Weight of Deposit, Initial Unit Weight & Age of Sediment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Weighted Value of B?

In this formula, Weighted Value of B uses Average Unit Weight of Deposit, Initial Unit Weight & Age of Sediment. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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