Depth at which Reservoir is Completely Filled up Calculator

✖Difference in the Elevation (FRL and Original bed) of the reservoir is the depth of the reservoir at the Full Reservoir Level (FRL).ⓘ Difference in the Elevation (FRL and Original bed) [H]			+10% -10%
✖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 to be Distributed [V_s]			+10% -10%
✖Volume of Sediment is the transported volume sediment between old zero and new zero bed level.ⓘ Volume of Sediment [V_o]			+10% -10%
✖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.ⓘ Area at the New Zero Elevation [A_o]			+10% -10%

✖Height above Bed is the elevation from surface of zero elevation to which heights of various points are referenced.ⓘ Depth at which Reservoir is Completely Filled up [h_o]

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Depth at which Reservoir is Completely Filled up Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_o = H-((V_s-V_o)/A_o)
This formula uses 5 Variables

Variables Used

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.
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).
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.
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.

STEP 1: Convert Input(s) to Base Unit

Difference in the Elevation (FRL and Original bed): 11 Meter --> 11 Meter No Conversion Required
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
Area at the New Zero Elevation: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_o = H-((V_s-V_o)/A_o) --> 11-((455-5)/50)

Evaluating ... ...

h_o = 2

STEP 3: Convert Result to Output's Unit

2 Meter --> No Conversion Required

FINAL ANSWER

2 Meter <-- Height above Bed

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Depth at which Reservoir is Completely Filled up Formula

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)
h_o = H-((V_s-V_o)/A_o)

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 Depth at which Reservoir is Completely Filled up?

Depth at which Reservoir is Completely Filled up calculator uses 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) to calculate the Height above Bed, The Depth at which Reservoir is Completely Filled up formula is defined as the height at which the sediments fill up the reservoir at the bottom, thus forming a new datum line of the reservoir. Height above Bed is denoted by h_o symbol.

How to calculate Depth at which Reservoir is Completely Filled up using this online calculator? To use this online calculator for Depth at which Reservoir is Completely Filled up, enter Difference in the Elevation (FRL and Original bed) (H), Volume of Sediment to be Distributed (V_s), Volume of Sediment (V_o) & Area at the New Zero Elevation (A_o) and hit the calculate button. Here is how the Depth at which Reservoir is Completely Filled up calculation can be explained with given input values -> 2 = 11-((455-5)/50).

FAQ

What is Depth at which Reservoir is Completely Filled up?

The Depth at which Reservoir is Completely Filled up formula is defined as the height at which the sediments fill up the reservoir at the bottom, thus forming a new datum line of the reservoir and is represented as h_o = H-((V_s-V_o)/A_o) or 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). Difference in the Elevation (FRL and Original bed) of the reservoir is the depth of the reservoir at the Full Reservoir Level (FRL), 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 & 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.

How to calculate Depth at which Reservoir is Completely Filled up?

The Depth at which Reservoir is Completely Filled up formula is defined as the height at which the sediments fill up the reservoir at the bottom, thus forming a new datum line of the reservoir is calculated using 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). To calculate Depth at which Reservoir is Completely Filled up, you need Difference in the Elevation (FRL and Original bed) (H), Volume of Sediment to be Distributed (V_s), Volume of Sediment (V_o) & Area at the New Zero Elevation (A_o). With our tool, you need to enter the respective value for Difference in the Elevation (FRL and Original bed), Volume of Sediment to be Distributed, Volume of Sediment & Area at the New Zero Elevation 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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