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Equilibrium Equation for Flow in Confined Aquifer at Observation Well Formula

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GoDischarge Entering Cylindrical Surface to Well Discharge 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 = \frac{2 \cdot π \cdot τ \cdot (h 2 - h 1)}{\ln (\frac{r 2}{r 1})}

Q - Discharge Entering Cylindrical Surface into Well?τ - Transmissivity?h₂ - Piezometric Head at Radial Distance r2?h₁ - Piezometric Head at Radial Distance r1?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?π - Archimedes' constant?

Equilibrium Equation for Flow in Confined Aquifer at Observation Well Example

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Here is how the Equilibrium Equation for Flow in Confined Aquifer at Observation Well equation looks like with Values.

Here is how the Equilibrium Equation for Flow in Confined Aquifer at Observation Well equation looks like with Units.

Here is how the Equilibrium Equation for Flow in Confined Aquifer at Observation Well equation looks like.

126.9061 = \frac{2 \cdot 3.1416 \cdot 1.4 \cdot (25 - 15)}{\ln (\frac{10}{5})}

126.9061m³/s = \frac{2 \cdot 3.1416 \cdot 1.4m²/s \cdot (25m - 15m)}{\ln (\frac{10m}{5m})}

126.9061 = \frac{2 \cdot 3.1416 \cdot 1.4 \cdot (25 - 15)}{\ln (\frac{10}{5})}

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Equilibrium Equation for Flow in Confined Aquifer at Observation Well Solution

Follow our step by step solution on how to calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{2 \cdot π \cdot 1.4m²/s \cdot (25m - 15m)}{\ln (\frac{10m}{5m})}

Next Step Substitute values of Constants

∴

Q = \frac{2 \cdot 3.1416 \cdot 1.4m²/s \cdot (25m - 15m)}{\ln (\frac{10m}{5m})}

Next Step Prepare to Evaluate

∴

Q = \frac{2 \cdot 3.1416 \cdot 1.4 \cdot (25 - 15)}{\ln (\frac{10}{5})}

Next Step Evaluate

∴

Q = 126.906083971161m³/s

LAST Step Rounding Answer

∴

Q = 126.9061m³/s

Equilibrium Equation for Flow in Confined Aquifer at Observation Well Formula Elements

Variables

Constants

Functions

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.

Transmissivity

Transmissivity is the measure of how much water can be transmitted horizontally through a unit width of the entire thickness of an aquifer.

Symbol: τ

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Piezometric Head at Radial Distance r2

Piezometric Head at Radial Distance r2 is the hydraulic head measured at a specific radial distance r2 from a point of interest, typically a well or a pumping borehole.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Piezometric Head at Radial Distance r1

Piezometric Head at Radial Distance r1 is the hydraulic head measured at a specific radial distance r1 from a point of interest, typically a well or a pumping borehole.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Radial Distance at Observation Well 2

Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Radial Distance at Observation Well 1

Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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

ln

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Credits

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

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Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other Formulas to find Discharge Entering Cylindrical Surface into Well

Go Discharge Entering Cylindrical Surface to Well Discharge

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

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

See More

How to Evaluate Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

Equilibrium Equation for Flow in Confined Aquifer at Observation Well evaluator uses 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) to evaluate the Discharge Entering Cylindrical Surface into Well, The Equilibrium Equation for Flow in Confined Aquifer at Observation Well formula is defined as the flow of groundwater under pressure and will rise up inside a borehole drilled into the aquifer. The level to which the water rises is called the potentiometric surface. Discharge Entering Cylindrical Surface into Well is denoted by Q symbol.

How to evaluate Equilibrium Equation for Flow in Confined Aquifer at Observation Well using this online evaluator? To use this online evaluator for Equilibrium Equation for Flow in Confined Aquifer at Observation Well, enter Transmissivity (τ), Piezometric Head at Radial Distance r2 (h₂), Piezometric Head at Radial Distance r1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Equilibrium Equation for Flow in Confined Aquifer at Observation Well

What is the formula to find Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

The formula of Equilibrium Equation for Flow in Confined Aquifer at Observation Well is expressed as 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). Here is an example- 126.9061 = (2*pi*1.4*(25-15))/ln(10/5).

How to calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

With Transmissivity (τ), Piezometric Head at Radial Distance r2 (h₂), Piezometric Head at Radial Distance r1 (h₁), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Equilibrium Equation for Flow in Confined Aquifer at Observation Well using the formula - 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). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

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*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance))

Can the Equilibrium Equation for Flow in Confined Aquifer at Observation Well be negative?

Yes, the Equilibrium Equation for Flow in Confined Aquifer at Observation Well, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

Equilibrium Equation for Flow in Confined Aquifer at Observation Well 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 Equilibrium Equation for Flow in Confined Aquifer at Observation Well can be measured.

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