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Discharge Entering Cylindrical Surface to Well Discharge Formula

GoEquilibrium Equation for Flow in Confined Aquifer at Observation Well Formula

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Discharge Entering Cylindrical Surface into Well is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells. Check FAQs

Q = (2 \cdot π \cdot r \cdot H a) \cdot (K \cdot (\frac{dh}{dr}))

Q - Discharge Entering Cylindrical Surface into Well?r - Radial Distance?H_a - Width of Aquifer?K - Coefficient of Permeability?dh - Change in Piezometric Head?dr - Change in Radial Distance?π - Archimedes' constant?

Discharge Entering Cylindrical Surface to Well Discharge Example

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Here is how the Discharge Entering Cylindrical Surface to Well Discharge equation looks like with Values.

Here is how the Discharge Entering Cylindrical Surface to Well Discharge equation looks like with Units.

Here is how the Discharge Entering Cylindrical Surface to Well Discharge equation looks like.

127.2345 = (2 \cdot 3.1416 \cdot 3 \cdot 45) \cdot (3 \cdot (\frac{1.25}{0.25}))

127.2345m³/s = (2 \cdot 3.1416 \cdot 3m \cdot 45m) \cdot (3cm/s \cdot (\frac{1.25m}{0.25m}))

127.2345 = (2 \cdot 3.1416 \cdot 3 \cdot 45) \cdot (3 \cdot (\frac{1.25}{0.25}))

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Discharge Entering Cylindrical Surface to Well Discharge Solution

Follow our step by step solution on how to calculate Discharge Entering Cylindrical Surface to Well Discharge?

FIRST Step Consider the formula

Q = (2 \cdot π \cdot r \cdot H a) \cdot (K \cdot (\frac{dh}{dr}))

Next Step Substitute values of Variables

∴

Q = (2 \cdot π \cdot 3m \cdot 45m) \cdot (3cm/s \cdot (\frac{1.25m}{0.25m}))

Next Step Substitute values of Constants

∴

Q = (2 \cdot 3.1416 \cdot 3m \cdot 45m) \cdot (3cm/s \cdot (\frac{1.25m}{0.25m}))

Next Step Convert Units

∴

Q = (2 \cdot 3.1416 \cdot 3m \cdot 45m) \cdot (0.03m/s \cdot (\frac{1.25m}{0.25m}))

Next Step Prepare to Evaluate

∴

Q = (2 \cdot 3.1416 \cdot 3 \cdot 45) \cdot (0.03 \cdot (\frac{1.25}{0.25}))

Next Step Evaluate

∴

Q = 127.234502470387m³/s

LAST Step Rounding Answer

∴

Q = 127.2345m³/s

Discharge Entering Cylindrical Surface to Well Discharge Formula Elements

Variables

Constants

Discharge Entering Cylindrical Surface into Well

Discharge Entering Cylindrical Surface into Well is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Entering Cylindrical Surface into Well

Radial Distance

Radial Distance is the distance from the pumped well to the observation well located.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Width of Aquifer

Width of Aquifer is the horizontal extent or lateral dimension of the aquifer perpendicular to the direction of groundwater flow.

Symbol: H_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Aquifer

Coefficient of Permeability

Coefficient of Permeability is the measure of the ability of a porous material (such as soil or rock) to transmit fluids through it. It quantifies how easily water can flow through the material.

Symbol: K

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Coefficient of Permeability

Change in Piezometric Head

Change in Piezometric Head is the difference in hydraulic head between two points within an aquifer or groundwater system.

Symbol: dh

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Piezometric Head

Change in Radial Distance

Change in Radial Distance is the variation in distance from a pumping well to a specific point in an aquifer over time.

Symbol: dr

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Radial Distance

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 Entering Cylindrical Surface into Well

Go Equilibrium Equation for Flow in Confined Aquifer at Observation Well

Q = \frac{2 \cdot π \cdot τ \cdot (h 2 - h 1)}{\ln (\frac{r 2}{r 1})}

Other formulas in Steady Flow into a Well category

Go Velocity of Flow by Darcy's Law at Radical Distance

V r = K \cdot (\frac{dh}{dr})

Go Change in Piezometric Head

dh = V r \cdot \frac{dr}{K}

Go Change in Radial Distance

dr = K \cdot \frac{dh}{V r}

Go Cylindrical Surface through which Velocity of Flow Occurs

S = 2 \cdot π \cdot r \cdot H a

How to Evaluate Discharge Entering Cylindrical Surface to Well Discharge?

Discharge Entering Cylindrical Surface to Well Discharge evaluator uses Discharge Entering Cylindrical Surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance)) to evaluate the Discharge Entering Cylindrical Surface into Well, The Discharge Entering Cylindrical Surface to Well Discharge formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area of the Well. Discharge Entering Cylindrical Surface into Well is denoted by Q symbol.

How to evaluate Discharge Entering Cylindrical Surface to Well Discharge using this online evaluator? To use this online evaluator for Discharge Entering Cylindrical Surface to Well Discharge, enter Radial Distance (r), Width of Aquifer (H_a), Coefficient of Permeability (K), Change in Piezometric Head (dh) & Change in Radial Distance (dr) and hit the calculate button.

FAQs on Discharge Entering Cylindrical Surface to Well Discharge

What is the formula to find Discharge Entering Cylindrical Surface to Well Discharge?

The formula of Discharge Entering Cylindrical Surface to Well Discharge is expressed as Discharge Entering Cylindrical Surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance)). Here is an example- 127.2345 = (2*pi*3*45)*(0.03*(1.25/0.25)).

How to calculate Discharge Entering Cylindrical Surface to Well Discharge?

With Radial Distance (r), Width of Aquifer (H_a), Coefficient of Permeability (K), Change in Piezometric Head (dh) & Change in Radial Distance (dr) we can find Discharge Entering Cylindrical Surface to Well Discharge using the formula - Discharge Entering Cylindrical Surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Discharge Entering Cylindrical Surface into Well?

Here are the different ways to Calculate Discharge Entering Cylindrical Surface into Well-

Discharge Entering Cylindrical Surface into Well=(2*pi*Transmissivity*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1))/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Can the Discharge Entering Cylindrical Surface to Well Discharge be negative?

Yes, the Discharge Entering Cylindrical Surface to Well Discharge, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge Entering Cylindrical Surface to Well Discharge?

Discharge Entering Cylindrical Surface to Well Discharge 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 Entering Cylindrical Surface to Well Discharge can be measured.

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Discharge Entering Cylindrical Surface to Well Discharge Formula

​GoEquilibrium Equation for Flow in Confined Aquifer at Observation Well Formula

Discharge Entering Cylindrical Surface to Well Discharge Example

Discharge Entering Cylindrical Surface to Well Discharge Solution

Discharge Entering Cylindrical Surface to Well Discharge Formula Elements

Other Formulas to find Discharge Entering Cylindrical Surface into Well

Other formulas in Steady Flow into a Well category

How to Evaluate Discharge Entering Cylindrical Surface to Well Discharge?

FAQs on Discharge Entering Cylindrical Surface to Well Discharge

Variable Name

GoEquilibrium Equation for Flow in Confined Aquifer at Observation Well Formula