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Discharge given Drawdown Formula

GoDischarge given Formation Constant T Formula

GoDischarge given Time at 1st and 2nd Instance Formula

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Discharge is the rate of flow of a fluid in unsteady flow. Check FAQs

Q = \frac{4 \cdot π \cdot F c \cdot s t}{W u}

Q - Discharge?F_c - Formation Constant for Unsteady Flow?s_t - Total Drawdown in Well?W_u - Well Function of u?π - Archimedes' constant?

Discharge given Drawdown Example

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Here is how the Discharge given Drawdown equation looks like with Values.

Here is how the Discharge given Drawdown equation looks like with Units.

Here is how the Discharge given Drawdown equation looks like.

0.9993 = \frac{4 \cdot 3.1416 \cdot 0.8 \cdot 0.83}{8.35}

0.9993m³/s = \frac{4 \cdot 3.1416 \cdot 0.8m²/s \cdot 0.83m}{8.35}

0.9993 = \frac{4 \cdot 3.1416 \cdot 0.8 \cdot 0.83}{8.35}

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Discharge given Drawdown Solution

Follow our step by step solution on how to calculate Discharge given Drawdown?

FIRST Step Consider the formula

Q = \frac{4 \cdot π \cdot F c \cdot s t}{W u}

Next Step Substitute values of Variables

∴

Q = \frac{4 \cdot π \cdot 0.8m²/s \cdot 0.83m}{8.35}

Next Step Substitute values of Constants

∴

Q = \frac{4 \cdot 3.1416 \cdot 0.8m²/s \cdot 0.83m}{8.35}

Next Step Prepare to Evaluate

∴

Q = \frac{4 \cdot 3.1416 \cdot 0.8 \cdot 0.83}{8.35}

Next Step Evaluate

∴

Q = 0.999289830890358m³/s

LAST Step Rounding Answer

∴

Q = 0.9993m³/s

Discharge given Drawdown Formula Elements

Variables

Constants

Discharge

Discharge is the rate of flow of a fluid in unsteady flow.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Formation Constant for Unsteady Flow

Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.

Symbol: F_c

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Formation Constant for Unsteady Flow

Total Drawdown in Well

Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: s_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Drawdown in Well

Well Function of u

Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.

Symbol: W_u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Well Function of u

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Discharge

Go Discharge given Formation Constant T

Q = \frac{F c}{\frac{2.303}{4 \cdot π \cdot Δd}}

Go Discharge given Time at 1st and 2nd Instance

Q = \frac{Δd}{\frac{2.303 \cdot \log ((\frac{t 2sec}{t1}), 10)}{4 \cdot π \cdot t hr}}

How to Evaluate Discharge given Drawdown?

Discharge given Drawdown evaluator uses Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u to evaluate the Discharge, Discharge given Drawdown formula is defined as a measure of the rate of fluid flow in an unsteady flow context, typically used to quantify the volume of fluid discharged from a system over a specific period of time, often in relation to changes in fluid levels or pressures. Discharge is denoted by Q symbol.

How to evaluate Discharge given Drawdown using this online evaluator? To use this online evaluator for Discharge given Drawdown, enter Formation Constant for Unsteady Flow (F_c), Total Drawdown in Well (s_t) & Well Function of u (W_u) and hit the calculate button.

FAQs on Discharge given Drawdown

What is the formula to find Discharge given Drawdown?

The formula of Discharge given Drawdown is expressed as Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u. Here is an example- 1.011781 = (4*pi*0.8*0.83)/8.35.

How to calculate Discharge given Drawdown?

With Formation Constant for Unsteady Flow (F_c), Total Drawdown in Well (s_t) & Well Function of u (W_u) we can find Discharge given Drawdown using the formula - Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u. This formula also uses Archimedes' constant .

What are the other ways to Calculate Discharge?

Here are the different ways to Calculate Discharge-

Discharge=Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))
Discharge=Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge))

Can the Discharge given Drawdown be negative?

Yes, the Discharge given Drawdown, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge given Drawdown?

Discharge given Drawdown is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Drawdown can be measured.

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Discharge given Drawdown Formula

​GoDischarge given Formation Constant T Formula

​GoDischarge given Time at 1st and 2nd Instance Formula

Discharge given Drawdown Example

Discharge given Drawdown Solution

Discharge given Drawdown Formula Elements

Other Formulas to find Discharge

How to Evaluate Discharge given Drawdown?

FAQs on Discharge given Drawdown

Variable Name

GoDischarge given Formation Constant T Formula

GoDischarge given Time at 1st and 2nd Instance Formula