Relative Area for Different Type Classification of Reservoir Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1
Ap = C*(p^m1)*(1-p)^n1
This formula uses 5 Variables
Variables Used
Dimensionless Relative Area - Dimensionless Relative Area is a dimensionless unit defined as the ratio of area of elevation above the bed to that of area at initial zero elevation.
Coefficient c - Coefficient c depends on the type classification of the reservoir. Type I (Lake)-5.074 Type II (Flood)-2.487 Type III (Hilly)-16.967 Type IV (Gorge)-1.486.
Relative Depth - (Measured in Meter) - Relative Depth measures the relative distance from the deep white matter surface to the superficial white matter surface.
Coefficient m1 - Coefficient m1 depends on the type classification of the reservoir. Type I (Lake)-1.85 Type II (Flood)-0.57 Type III (Hilly)-1.15 Type IV (Gorge)-0.25.
Coefficient n1 - Coefficient n1 depends on the type classification of the reservoir. Type I (Lake)-0.36 Type II (Flood)-0.41 Type III (Hilly)-2.32 Type IV (Gorge)-1.34.
STEP 1: Convert Input(s) to Base Unit
Coefficient c: 5.074 --> No Conversion Required
Relative Depth: 0.1818 Meter --> 0.1818 Meter No Conversion Required
Coefficient m1: 1.85 --> No Conversion Required
Coefficient n1: 0.36 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ap = C*(p^m1)*(1-p)^n1 --> 5.074*(0.1818^1.85)*(1-0.1818)^0.36
Evaluating ... ...
Ap = 0.201478426232732
STEP 3: Convert Result to Output's Unit
0.201478426232732 --> No Conversion Required
FINAL ANSWER
0.201478426232732 0.201478 <-- Dimensionless Relative Area
(Calculation completed in 00.020 seconds)

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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

Relative Area for Different Type Classification of Reservoir Formula

Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1
Ap = C*(p^m1)*(1-p)^n1

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 Relative Area for Different Type Classification of Reservoir?

Relative Area for Different Type Classification of Reservoir calculator uses Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1 to calculate the Dimensionless Relative Area, The Relative Area for Different Type Classification of Reservoir formula is defined as the ratio of an area at elevation above head to that of an area at initial zero elevation. Dimensionless Relative Area is denoted by Ap symbol.

How to calculate Relative Area for Different Type Classification of Reservoir using this online calculator? To use this online calculator for Relative Area for Different Type Classification of Reservoir, enter Coefficient c (C), Relative Depth (p), Coefficient m1 (m1) & Coefficient n1 (n1) and hit the calculate button. Here is how the Relative Area for Different Type Classification of Reservoir calculation can be explained with given input values -> 0.201478 = 5.074*(0.1818^1.85)*(1-0.1818)^0.36.

FAQ

What is Relative Area for Different Type Classification of Reservoir?
The Relative Area for Different Type Classification of Reservoir formula is defined as the ratio of an area at elevation above head to that of an area at initial zero elevation and is represented as Ap = C*(p^m1)*(1-p)^n1 or Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1. Coefficient c depends on the type classification of the reservoir. Type I (Lake)-5.074 Type II (Flood)-2.487 Type III (Hilly)-16.967 Type IV (Gorge)-1.486, Relative Depth measures the relative distance from the deep white matter surface to the superficial white matter surface, Coefficient m1 depends on the type classification of the reservoir. Type I (Lake)-1.85 Type II (Flood)-0.57 Type III (Hilly)-1.15 Type IV (Gorge)-0.25 & Coefficient n1 depends on the type classification of the reservoir. Type I (Lake)-0.36 Type II (Flood)-0.41 Type III (Hilly)-2.32 Type IV (Gorge)-1.34.
How to calculate Relative Area for Different Type Classification of Reservoir?
The Relative Area for Different Type Classification of Reservoir formula is defined as the ratio of an area at elevation above head to that of an area at initial zero elevation is calculated using Dimensionless Relative Area = Coefficient c*(Relative Depth^Coefficient m1)*(1-Relative Depth)^Coefficient n1. To calculate Relative Area for Different Type Classification of Reservoir, you need Coefficient c (C), Relative Depth (p), Coefficient m1 (m1) & Coefficient n1 (n1). With our tool, you need to enter the respective value for Coefficient c, Relative Depth, Coefficient m1 & Coefficient n1 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 Dimensionless Relative Area?
In this formula, Dimensionless Relative Area uses Coefficient c, Relative Depth, Coefficient m1 & Coefficient n1. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dimensionless Relative Area = Sediment Area/Soil Erodibility Factor
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