Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3)
ΔVs = (A1+A2+sqrt(A1*A2))*(ΔH/3)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Volume of Sediment Deposit - (Measured in Cubic Meter) - Volume of Sediment Deposit is the deposited sediment volume between two consecutive heights h1 and h2 above the new datum.
Cross-Sectional Area at Point 1 - (Measured in Square Meter) - Cross-Sectional Area at Point 1 is defined as the area of the section at point 1.
Cross-Sectional Area at Point 2 - (Measured in Square Meter) - Cross-Sectional area at point 2 is the area of cross section at a point 2.
Change in Head Between the Points - (Measured in Meter) - Change in Head Between the Points separated by Small distance dl.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area at Point 1: 14 Square Meter --> 14 Square Meter No Conversion Required
Cross-Sectional Area at Point 2: 6 Square Meter --> 6 Square Meter No Conversion Required
Change in Head Between the Points: 0.5 Meter --> 0.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔVs = (A1+A2+sqrt(A1*A2))*(ΔH/3) --> (14+6+sqrt(14*6))*(0.5/3)
Evaluating ... ...
ΔVs = 4.86085856498528
STEP 3: Convert Result to Output's Unit
4.86085856498528 Cubic Meter --> No Conversion Required
FINAL ANSWER
4.86085856498528 4.860859 Cubic Meter <-- Volume of Sediment Deposit
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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11 Empirical Area Reduction Method Calculators

Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method
Go Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3)
Relative Area for Different Type Classification of Reservoir
Go Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1
Volume of Sediment Deposition given Incremental Area
Go Volume of Sediment Deposit = 0.5*((Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2)*Change in Head Between the Points)
Volume of Sediment Deposited between two Consecutive Heights by Average End Area Method
Go Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2)*(Change in Head Between the Points/2)
Difference in Elevations and Original Bed of Reservoir given New Total Depth of Reservoir
Go Difference in the Elevation (FRL and Original bed) = New Total Depth of Reservoir+Height above Bed
New Total Depth of Reservoir
Go New Total Depth of Reservoir = Difference in the Elevation (FRL and Original bed)-Height above Bed
Difference in Elevations of Full Reservoir Level and Original Bed of Reservoir
Go Difference in the Elevation (FRL and Original bed) = Height above Bed/Relative Depth
Height up to which Sediment Completely Fills up given New Relative Depth
Go Height above Bed = Relative Depth*Difference in the Elevation (FRL and Original bed)
Relative Depth at New Zero Elevation
Go Relative Depth = Height above Bed/Difference in the Elevation (FRL and Original bed)
Relative Area given Soil Erodibility Factor
Go Dimensionless Relative Area = Sediment Area/Soil Erodibility Factor
Sediment Area at any Height above Datum
Go Sediment Area = Dimensionless Relative Area*Soil Erodibility Factor

Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method Formula

Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3)
ΔVs = (A1+A2+sqrt(A1*A2))*(ΔH/3)

What is a Reservoir?

A Reservoir is an artificial lake where water is stored. Most reservoirs are formed by constructing dams across rivers. A reservoir can also be formed from a natural lake whose outlet has been dammed to control the water level. The dam controls the amount of water that flows out of the reservoir.

How to Calculate Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method?

Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method calculator uses Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3) to calculate the Volume of Sediment Deposit, The Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method formula is defined as the volume or sediment deposited between two consecutive heights above the new datum found by the weighted area method. Volume of Sediment Deposit is denoted by ΔVs symbol.

How to calculate Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method using this online calculator? To use this online calculator for Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method, enter Cross-Sectional Area at Point 1 (A1), Cross-Sectional Area at Point 2 (A2) & Change in Head Between the Points (ΔH) and hit the calculate button. Here is how the Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method calculation can be explained with given input values -> 4.860859 = (14+6+sqrt(14*6))*(0.5/3).

FAQ

What is Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method?
The Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method formula is defined as the volume or sediment deposited between two consecutive heights above the new datum found by the weighted area method and is represented as ΔVs = (A1+A2+sqrt(A1*A2))*(ΔH/3) or Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3). Cross-Sectional Area at Point 1 is defined as the area of the section at point 1, Cross-Sectional area at point 2 is the area of cross section at a point 2 & Change in Head Between the Points separated by Small distance dl.
How to calculate Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method?
The Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method formula is defined as the volume or sediment deposited between two consecutive heights above the new datum found by the weighted area method is calculated using Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2+sqrt(Cross-Sectional Area at Point 1*Cross-Sectional Area at Point 2))*(Change in Head Between the Points/3). To calculate Volume of Sediment Deposited between two Consecutive Heights by Weighted Area Method, you need Cross-Sectional Area at Point 1 (A1), Cross-Sectional Area at Point 2 (A2) & Change in Head Between the Points (ΔH). With our tool, you need to enter the respective value for Cross-Sectional Area at Point 1, Cross-Sectional Area at Point 2 & Change in Head Between the Points 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 Volume of Sediment Deposit?
In this formula, Volume of Sediment Deposit uses Cross-Sectional Area at Point 1, Cross-Sectional Area at Point 2 & Change in Head Between the Points. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume of Sediment Deposit = (Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2)*(Change in Head Between the Points/2)
  • Volume of Sediment Deposit = 0.5*((Cross-Sectional Area at Point 1+Cross-Sectional Area at Point 2)*Change in Head Between the Points)
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