Initial Unit Weight given Average Unit Weight of Deposit Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
WT1 = Wav-(0.4343*Bw)*(((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
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.
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.
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
Average Unit Weight of Deposit: 15.06 Kilonewton per Cubic Meter --> 15060 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
WT1 = Wav-(0.4343*Bw)*(((T/(T-1))*ln(T))-1) --> 15060-(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1)
Evaluating ... ...
WT1 = 15000.7600632026
STEP 3: Convert Result to Output's Unit
15000.7600632026 Newton per Cubic Meter -->15.0007600632026 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
15.0007600632026 15.00076 Kilonewton per Cubic Meter <-- Initial Unit Weight
(Calculation completed in 00.004 seconds)

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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 due to Koelzer and Lara
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

Initial Unit Weight given Average Unit Weight of Deposit Formula

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)
WT1 = Wav-(0.4343*Bw)*(((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 Initial Unit Weight given Average Unit Weight of Deposit?

Initial Unit Weight given Average Unit Weight of Deposit calculator uses 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) to calculate the Initial Unit Weight, The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits. Initial Unit Weight is denoted by WT1 symbol.

How to calculate Initial Unit Weight given Average Unit Weight of Deposit using this online calculator? To use this online calculator for Initial Unit Weight given Average Unit Weight of Deposit, enter Average Unit Weight of Deposit (Wav), Weighted Value of B (Bw) & Age of Sediment (T) and hit the calculate button. Here is how the Initial Unit Weight given Average Unit Weight of Deposit calculation can be explained with given input values -> 0.014991 = 15060-(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1).

FAQ

What is Initial Unit Weight given Average Unit Weight of Deposit?
The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits and is represented as WT1 = Wav-(0.4343*Bw)*(((T/(T-1))*ln(T))-1) or 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). Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period, 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 Initial Unit Weight given Average Unit Weight of Deposit?
The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits is calculated using 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). To calculate Initial Unit Weight given Average Unit Weight of Deposit, you need Average Unit Weight of Deposit (Wav), Weighted Value of B (Bw) & Age of Sediment (T). With our tool, you need to enter the respective value for Average Unit Weight of Deposit, 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.
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