Original Reservoir Area at New Zero Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed)
Ao = (Vs-Vo)/(H-ho)
This formula uses 5 Variables
Variables Used
Area at the New Zero Elevation - (Measured in Square Meter) - Area at the New Zero Elevation refers to a reference coordinate surface used for vertical positions, such as the elevations of Earth-bound features also known as a zero-elevation surface.
Volume of Sediment to be Distributed - (Measured in Cubic Meter) - Volume of Sediment to be Distributed is the volume of sediment in a reservoir and the volume of sediment filling up the conical portion of the reservoir up to the original filling depth.
Volume of Sediment - (Measured in Cubic Meter) - Volume of Sediment is the transported volume sediment between old zero and new zero bed level.
Difference in the Elevation (FRL and Original bed) - (Measured in Meter) - Difference in the Elevation (FRL and Original bed) of the reservoir is the depth of the reservoir at the Full Reservoir Level (FRL).
Height above Bed - (Measured in Meter) - Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced.
STEP 1: Convert Input(s) to Base Unit
Volume of Sediment to be Distributed: 455 Cubic Meter --> 455 Cubic Meter No Conversion Required
Volume of Sediment: 5 Cubic Meter --> 5 Cubic Meter No Conversion Required
Difference in the Elevation (FRL and Original bed): 11 Meter --> 11 Meter No Conversion Required
Height above Bed: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ao = (Vs-Vo)/(H-ho) --> (455-5)/(11-2)
Evaluating ... ...
Ao = 50
STEP 3: Convert Result to Output's Unit
50 Square Meter --> No Conversion Required
FINAL ANSWER
50 Square Meter <-- Area at the New Zero Elevation
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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Area Increment Method Calculators

Sediment Volume between Old Zero and New Zero Bed Level
​ LaTeX ​ Go Volume of Sediment = Volume of Sediment to be Distributed-(Area at the New Zero Elevation*(Difference in the Elevation (FRL and Original bed)-Height above Bed))
Depth at which Reservoir is Completely Filled up
​ LaTeX ​ Go Height above Bed = Difference in the Elevation (FRL and Original bed)-((Volume of Sediment to be Distributed-Volume of Sediment)/Area at the New Zero Elevation)
Original Reservoir Area at New Zero Level
​ LaTeX ​ Go Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed)
Sediment Volume to be Distributed in Reservoir
​ LaTeX ​ Go Volume of Sediment to be Distributed = Area at the New Zero Elevation*(Difference in the Elevation (FRL and Original bed)-Height above Bed)+Volume of Sediment

Original Reservoir Area at New Zero Level Formula

​LaTeX ​Go
Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed)
Ao = (Vs-Vo)/(H-ho)

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 Original Reservoir Area at New Zero Level?

Original Reservoir Area at New Zero Level calculator uses Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed) to calculate the Area at the New Zero Elevation, The Original Reservoir Area at New Zero Level formula is defined as the area of the reservoir under consideration after the formation of a new datum line caused by the fill of sediments. Area at the New Zero Elevation is denoted by Ao symbol.

How to calculate Original Reservoir Area at New Zero Level using this online calculator? To use this online calculator for Original Reservoir Area at New Zero Level, enter Volume of Sediment to be Distributed (Vs), Volume of Sediment (Vo), Difference in the Elevation (FRL and Original bed) (H) & Height above Bed (ho) and hit the calculate button. Here is how the Original Reservoir Area at New Zero Level calculation can be explained with given input values -> 50 = (455-5)/(11-2).

FAQ

What is Original Reservoir Area at New Zero Level?
The Original Reservoir Area at New Zero Level formula is defined as the area of the reservoir under consideration after the formation of a new datum line caused by the fill of sediments and is represented as Ao = (Vs-Vo)/(H-ho) or Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed). Volume of Sediment to be Distributed is the volume of sediment in a reservoir and the volume of sediment filling up the conical portion of the reservoir up to the original filling depth, Volume of Sediment is the transported volume sediment between old zero and new zero bed level, Difference in the Elevation (FRL and Original bed) of the reservoir is the depth of the reservoir at the Full Reservoir Level (FRL) & Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced.
How to calculate Original Reservoir Area at New Zero Level?
The Original Reservoir Area at New Zero Level formula is defined as the area of the reservoir under consideration after the formation of a new datum line caused by the fill of sediments is calculated using Area at the New Zero Elevation = (Volume of Sediment to be Distributed-Volume of Sediment)/(Difference in the Elevation (FRL and Original bed)-Height above Bed). To calculate Original Reservoir Area at New Zero Level, you need Volume of Sediment to be Distributed (Vs), Volume of Sediment (Vo), Difference in the Elevation (FRL and Original bed) (H) & Height above Bed (ho). With our tool, you need to enter the respective value for Volume of Sediment to be Distributed, Volume of Sediment, Difference in the Elevation (FRL and Original bed) & Height above Bed 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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