Flood Discharge given Gumbel's Reduced Variate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge
Qf = (y/a)+Qfe
This formula uses 4 Variables
Variables Used
Flood Discharge having Highest Frequency - (Measured in Cubic Meter per Second) - Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions.
Gumbel's Reduced Variate - Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods.
Gumbel's Constant - Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.
Flood Discharge - (Measured in Cubic Meter per Second) - Flood discharge refers to the volume of water flowing through a river or stream during a flood event, typically measured in m³/s or cfs.
STEP 1: Convert Input(s) to Base Unit
Gumbel's Reduced Variate: 37.98 --> No Conversion Required
Gumbel's Constant: 2.01 --> No Conversion Required
Flood Discharge: 1.08 Cubic Meter per Second --> 1.08 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qf = (y/a)+Qfe --> (37.98/2.01)+1.08
Evaluating ... ...
Qf = 19.9755223880597
STEP 3: Convert Result to Output's Unit
19.9755223880597 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
19.9755223880597 19.97552 Cubic Meter per Second <-- Flood Discharge having Highest Frequency
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge given Gumbel's Reduced Variate
​ LaTeX ​ Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge
Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge Having Highest Frequency
​ LaTeX ​ Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Flood Discharge given Gumbel's Reduced Variate Formula

​LaTeX ​Go
Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge
Qf = (y/a)+Qfe

What is Peak Flood Discharge ?

In hydrology, the term “peak discharge” stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerated and overtops the natural or artificial bank and this might be called flood.

How to Calculate Flood Discharge given Gumbel's Reduced Variate?

Flood Discharge given Gumbel's Reduced Variate calculator uses Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge to calculate the Flood Discharge having Highest Frequency, The Flood Discharge given Gumbel's Reduced Variate is defined as the volume of water that passes through given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms). Flood Discharge having Highest Frequency is denoted by Qf symbol.

How to calculate Flood Discharge given Gumbel's Reduced Variate using this online calculator? To use this online calculator for Flood Discharge given Gumbel's Reduced Variate, enter Gumbel's Reduced Variate (y), Gumbel's Constant (a) & Flood Discharge (Qfe) and hit the calculate button. Here is how the Flood Discharge given Gumbel's Reduced Variate calculation can be explained with given input values -> 20.07 = (37.98/2.01)+1.08.

FAQ

What is Flood Discharge given Gumbel's Reduced Variate?
The Flood Discharge given Gumbel's Reduced Variate is defined as the volume of water that passes through given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms) and is represented as Qf = (y/a)+Qfe or Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge. Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods, Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts & Flood discharge refers to the volume of water flowing through a river or stream during a flood event, typically measured in m³/s or cfs.
How to calculate Flood Discharge given Gumbel's Reduced Variate?
The Flood Discharge given Gumbel's Reduced Variate is defined as the volume of water that passes through given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms) is calculated using Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge. To calculate Flood Discharge given Gumbel's Reduced Variate, you need Gumbel's Reduced Variate (y), Gumbel's Constant (a) & Flood Discharge (Qfe). With our tool, you need to enter the respective value for Gumbel's Reduced Variate, Gumbel's Constant & Flood Discharge 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 Flood Discharge having Highest Frequency?
In this formula, Flood Discharge having Highest Frequency uses Gumbel's Reduced Variate, Gumbel's Constant & Flood Discharge. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)
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