Equilibrium Discharge from S Curve Calculator

✖Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.ⓘ Area of Catchment [A]			+10% -10%
✖Excess Rainfall Time is the portion of rainfall that exceeds the capacity of the soil to retain it through infiltration.ⓘ Excess Rainfall Time [T_er]			+10% -10%

✖Equilibrium Discharge is the steady flow rate that a well can sustain from an aquifer over an extended period without causing significant drawdown or depletion of the aquifer.ⓘ Equilibrium Discharge from S Curve [Q_s]

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Formula

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Equilibrium Discharge from S Curve

Formula

Q s = (\frac{A}{T er}) \cdot 10^{4}

Example

46.2963 m³/s = (\frac{3.00 km²}{0.18 h}) \cdot 10^{4}

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Equilibrium Discharge from S Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4
Q_s = (A/T_er)*10^4
This formula uses 3 Variables

Variables Used

Equilibrium Discharge - (Measured in Cubic Meter per Second) - Equilibrium Discharge is the steady flow rate that a well can sustain from an aquifer over an extended period without causing significant drawdown or depletion of the aquifer.
Area of Catchment - (Measured in Square Kilometer) - Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.
Excess Rainfall Time - (Measured in Second) - Excess Rainfall Time is the portion of rainfall that exceeds the capacity of the soil to retain it through infiltration.

STEP 1: Convert Input(s) to Base Unit

Area of Catchment: 3 Square Kilometer --> 3 Square Kilometer No Conversion Required
Excess Rainfall Time: 0.18 Hour --> 648 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = (A/T_er)*10^4 --> (3/648)*10^4

Evaluating ... ...

Q_s = 46.2962962962963

STEP 3: Convert Result to Output's Unit

46.2962962962963 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

46.2962962962963 ≈ 46.2963 Cubic Meter per Second <-- Equilibrium Discharge

(Calculation completed in 00.004 seconds)

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< The S Curve Calculators

Equilibrium Discharge from S Curve

Go Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4

Ordinates of Unit Hydrograph for S-Curve at Certain Time

Go Ordinates of Unit Hydrograph = S-Curve at Time 't'-S-Curve Addition

S Curve at any time

Go S-Curve at Time 't' = Ordinates of Unit Hydrograph+S-Curve Addition

S-Curve Addition

Go S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph

Equilibrium Discharge from S Curve Formula

Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4
Q_s = (A/T_er)*10^4

What is S-curve method in Hydrograph?

The S-curve is a method of deriving a unit hydrograph for a desired duration from one or another duration through the use of an S-curve. It is a graph showing the summation of the ordinates of a series of unit hydrographs spaced at unit-rainfall duration intervals. It represents the hydrograph of the unit rate of rainfall excess continued indefinitely.

What is meant by Unit Hydrograph?

A unit hydrograph is a direct runoff hydrograph resulting from one unit (one inch or one cm) of constant intensity uniform rainfall occurring over the entire watershed. The role of unit hydrograph in hydrology is to provide an estimate of direct runoff hydrograph resulting from a given excess rainfall hyetograph.

How to Calculate Equilibrium Discharge from S Curve?

Equilibrium Discharge from S Curve calculator uses Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4 to calculate the Equilibrium Discharge, The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph. Equilibrium Discharge is denoted by Q_s symbol.

How to calculate Equilibrium Discharge from S Curve using this online calculator? To use this online calculator for Equilibrium Discharge from S Curve, enter Area of Catchment (A) & Excess Rainfall Time (T_er) and hit the calculate button. Here is how the Equilibrium Discharge from S Curve calculation can be explained with given input values -> 46.2963 = (3000000/648)*10^4.

FAQ

What is Equilibrium Discharge from S Curve?

The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph and is represented as Q_s = (A/T_er)*10^4 or Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4. Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir & Excess Rainfall Time is the portion of rainfall that exceeds the capacity of the soil to retain it through infiltration.

How to calculate Equilibrium Discharge from S Curve?

The Equilibrium Discharge from S Curve formula is defined as the time equal to the time base of the first unit hydrograph is calculated using Equilibrium Discharge = (Area of Catchment/Excess Rainfall Time)*10^4. To calculate Equilibrium Discharge from S Curve, you need Area of Catchment (A) & Excess Rainfall Time (T_er). With our tool, you need to enter the respective value for Area of Catchment & Excess Rainfall Time 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 Equilibrium Discharge?

In this formula, Equilibrium Discharge uses Area of Catchment & Excess Rainfall Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall

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