Average Unit Weight of Sediment Deposit during Period of T Years Calculator

✖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%
✖Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.ⓘ Weighted Value of B [B_w]			+10% -10%
✖Age of Sediment is the time elapsed since the material was deposited in years.ⓘ Age of Sediment [T]			+10% -10%

✖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 Sediment Deposit during Period of T Years [W_av]

⎘ Copy

👎

Formula

✖

Average Unit Weight of Sediment Deposit during Period of T Years

Formula

`"W"_{"av"} = "W"_{"T1"}+(0.4343*"B"_{"w"})*((("T"/("T"-1))*ln("T"))-1)`

Example

`"15.05924kN/m³"="15kN/m³"+(0.4343*"7")*((("25Year"/("25Year"-1))*ln("25Year"))-1)`

Calculator

LaTeX

Reset

👍

Download Erosion and Sediment Deposits Formulas PDF

Average Unit Weight of Sediment Deposit during Period of T Years Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_av = W_T1+(0.4343*B_w)*(((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

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.
Weighted Value of B - Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.
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

Initial Unit Weight: 15 Kilonewton per Cubic Meter --> 15000 Newton per Cubic Meter (Check conversion here)
Weighted Value of B: 7 --> No Conversion Required
Age of Sediment: 25 Year --> 788923800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_av = W_T1+(0.4343*B_w)*(((T/(T-1))*ln(T))-1) --> 15000+(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1)

Evaluating ... ...

W_av = 15059.2399367974

STEP 3: Convert Result to Output's Unit

15059.2399367974 Newton per Cubic Meter -->15.0592399367974 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

15.0592399367974 ≈ 15.05924 Kilonewton per Cubic Meter <-- Average Unit Weight of Deposit

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Erosion and Reservoir Sedimentation » Erosion and Sediment Deposits » Density of Sediment Deposits » Average Unit Weight of Sediment Deposit during Period of T Years

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Average Unit Weight of Sediment Deposit during Period of T Years Formula

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)
W_av = W_T1+(0.4343*B_w)*(((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 Average Unit Weight of Sediment Deposit during Period of T Years?

Average Unit Weight of Sediment Deposit during Period of T Years calculator uses 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) to calculate the Average Unit Weight of Deposit, The Average Unit Weight of Sediment Deposit during Period of T Years formula is defined as the average unit weight of sediment deposit which varies over a wide range depending upon the composition, reservoir operation and consolidation undergone by the deposit over the period of T years. Average Unit Weight of Deposit is denoted by W_av symbol.

How to calculate Average Unit Weight of Sediment Deposit during Period of T Years using this online calculator? To use this online calculator for Average Unit Weight of Sediment Deposit during Period of T Years, enter Initial Unit Weight (W_T1), Weighted Value of B (B_w) & Age of Sediment (T) and hit the calculate button. Here is how the Average Unit Weight of Sediment Deposit during Period of T Years calculation can be explained with given input values -> 0.015059 = 15000+(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1).

FAQ

What is Average Unit Weight of Sediment Deposit during Period of T Years?

The Average Unit Weight of Sediment Deposit during Period of T Years formula is defined as the average unit weight of sediment deposit which varies over a wide range depending upon the composition, reservoir operation and consolidation undergone by the deposit over the period of T years and is represented as W_av = W_T1+(0.4343*B_w)*(((T/(T-1))*ln(T))-1) or 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 represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase, Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form & Age of Sediment is the time elapsed since the material was deposited in years.

How to calculate Average Unit Weight of Sediment Deposit during Period of T Years?

The Average Unit Weight of Sediment Deposit during Period of T Years formula is defined as the average unit weight of sediment deposit which varies over a wide range depending upon the composition, reservoir operation and consolidation undergone by the deposit over the period of T years is calculated using 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). To calculate Average Unit Weight of Sediment Deposit during Period of T Years, you need Initial Unit Weight (W_T1), Weighted Value of B (B_w) & Age of Sediment (T). With our tool, you need to enter the respective value for Initial Unit Weight, Weighted Value of B & Age of Sediment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search