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Area of Catchment given Maximum Rate of Discharge from S-Curve Formula

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Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir. Check FAQs

A = Q s \cdot \frac{D r}{2.778}

A - Area of Catchment?Q_s - Equilibrium Discharge?D_r - Duration of Excess Rainfall?

Area of Catchment given Maximum Rate of Discharge from S-Curve Example

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Here is how the Area of Catchment given Maximum Rate of Discharge from S-Curve equation looks like with Values.

Here is how the Area of Catchment given Maximum Rate of Discharge from S-Curve equation looks like with Units.

Here is how the Area of Catchment given Maximum Rate of Discharge from S-Curve equation looks like.

3.0324 = 45 \cdot \frac{52}{2.778}

3.0324km² = 45m³/s \cdot \frac{52h}{2.778}

3.0324 = 45 \cdot \frac{52}{2.778}

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Area of Catchment given Maximum Rate of Discharge from S-Curve Solution

Follow our step by step solution on how to calculate Area of Catchment given Maximum Rate of Discharge from S-Curve?

FIRST Step Consider the formula

A = Q s \cdot \frac{D r}{2.778}

Next Step Substitute values of Variables

∴

A = 45m³/s \cdot \frac{52h}{2.778}

Next Step Convert Units

∴

A = 45m³/s \cdot \frac{187200s}{2.778}

Next Step Prepare to Evaluate

∴

A = 45 \cdot \frac{187200}{2.778}

Next Step Evaluate

∴

A = 3032397.40820734m²

Next Step Convert to Output's Unit

∴

A = 3.03239740820734km²

LAST Step Rounding Answer

∴

A = 3.0324km²

Area of Catchment given Maximum Rate of Discharge from S-Curve Formula Elements

Variables

Area of Catchment

Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.

Symbol: A

Measurement: AreaUnit: km²

Note: Value should be greater than 0.

Formulas to find Area of Catchment

Equilibrium Discharge

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.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Equilibrium Discharge

Duration of Excess Rainfall

Duration of Excess Rainfall is time during which continuous rain is observed, or occurs, at a given point or within a given area or Excess Rainfall of the Unit Hydrograph used in deriving the S-curve.

Symbol: D_r

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Duration of Excess Rainfall

Other formulas in The S Curve category

Go S Curve at any time

S t = U t + S tD

Go S-Curve Addition

S tD = S t - U t

Go Ordinates of Unit Hydrograph for S-Curve at Certain Time

U t = S t - S tD

Go Equilibrium Discharge from S Curve

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

How to Evaluate Area of Catchment given Maximum Rate of Discharge from S-Curve?

Area of Catchment given Maximum Rate of Discharge from S-Curve evaluator uses Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778 to evaluate the Area of Catchment, The Area of Catchment given Maximum Rate of Discharge from S-Curve formula is defined as the geographical area from which water flows into a particular point, such as a well, stream, or reservoir. Area of Catchment is denoted by A symbol.

How to evaluate Area of Catchment given Maximum Rate of Discharge from S-Curve using this online evaluator? To use this online evaluator for Area of Catchment given Maximum Rate of Discharge from S-Curve, enter Equilibrium Discharge (Q_s) & Duration of Excess Rainfall (D_r) and hit the calculate button.

FAQs on Area of Catchment given Maximum Rate of Discharge from S-Curve

What is the formula to find Area of Catchment given Maximum Rate of Discharge from S-Curve?

The formula of Area of Catchment given Maximum Rate of Discharge from S-Curve is expressed as Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778. Here is an example- 3E-6 = 45*187200/2.778.

How to calculate Area of Catchment given Maximum Rate of Discharge from S-Curve?

With Equilibrium Discharge (Q_s) & Duration of Excess Rainfall (D_r) we can find Area of Catchment given Maximum Rate of Discharge from S-Curve using the formula - Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778.

Can the Area of Catchment given Maximum Rate of Discharge from S-Curve be negative?

No, the Area of Catchment given Maximum Rate of Discharge from S-Curve, measured in Area cannot be negative.

Which unit is used to measure Area of Catchment given Maximum Rate of Discharge from S-Curve?

Area of Catchment given Maximum Rate of Discharge from S-Curve is usually measured using the Square Kilometer[km²] for Area. Square Meter[km²], Square Centimeter[km²], Square Millimeter[km²] are the few other units in which Area of Catchment given Maximum Rate of Discharge from S-Curve can be measured.

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