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Discharge Observed at Edge of Zone of Influence Formula

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Discharge Observed at Edge of Zone of Influence is the discharge at the outer boundary of the area affected by a particular hydrological activity, such as groundwater extraction or contamination. Check FAQs

Q iz = 2 \cdot π \cdot τ \cdot \frac{s'}{\ln (\frac{r 2}{r 1})}

Q_iz - Discharge Observed at Edge of Zone of Influence?τ - Transmissivity?s' - Possible Drawdown in Confined Aquifer?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?π - Archimedes' constant?

Discharge Observed at Edge of Zone of Influence Example

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Here is how the Discharge Observed at Edge of Zone of Influence equation looks like with Values.

Here is how the Discharge Observed at Edge of Zone of Influence equation looks like with Units.

Here is how the Discharge Observed at Edge of Zone of Influence equation looks like.

2.5381 = 2 \cdot 3.1416 \cdot 1.4 \cdot \frac{0.2}{\ln (\frac{10}{5})}

2.5381m³/s = 2 \cdot 3.1416 \cdot 1.4m²/s \cdot \frac{0.2m}{\ln (\frac{10m}{5m})}

2.5381 = 2 \cdot 3.1416 \cdot 1.4 \cdot \frac{0.2}{\ln (\frac{10}{5})}

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Discharge Observed at Edge of Zone of Influence Solution

Follow our step by step solution on how to calculate Discharge Observed at Edge of Zone of Influence?

FIRST Step Consider the formula

Q iz = 2 \cdot π \cdot τ \cdot \frac{s'}{\ln (\frac{r 2}{r 1})}

Next Step Substitute values of Variables

∴

Q iz = 2 \cdot π \cdot 1.4m²/s \cdot \frac{0.2m}{\ln (\frac{10m}{5m})}

Next Step Substitute values of Constants

∴

Q iz = 2 \cdot 3.1416 \cdot 1.4m²/s \cdot \frac{0.2m}{\ln (\frac{10m}{5m})}

Next Step Prepare to Evaluate

∴

Q iz = 2 \cdot 3.1416 \cdot 1.4 \cdot \frac{0.2}{\ln (\frac{10}{5})}

Next Step Evaluate

∴

Q iz = 2.53812167942323m³/s

LAST Step Rounding Answer

∴

Q iz = 2.5381m³/s

Discharge Observed at Edge of Zone of Influence Formula Elements

Variables

Constants

Functions

Discharge Observed at Edge of Zone of Influence

Discharge Observed at Edge of Zone of Influence is the discharge at the outer boundary of the area affected by a particular hydrological activity, such as groundwater extraction or contamination.

Symbol: Q_iz

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Observed at Edge of Zone of Influence

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.

Formulas to find Transmissivity

Possible Drawdown in Confined Aquifer

Possible Drawdown in Confined Aquifer is the drawdown that would have occurred if the aquifer had been confined (that is, if no dewatering had occurred).

Symbol: s'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Possible Drawdown in Confined Aquifer

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.

Formulas to find Radial Distance at Observation Well 2

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.

Formulas to find Radial Distance at Observation Well 1

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

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

Syntax: ln(Number)

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 Observed at Edge of Zone of Influence?

Discharge Observed at Edge of Zone of Influence evaluator uses Discharge Observed at Edge of Zone of Influence = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1) to evaluate the Discharge Observed at Edge of Zone of Influence, The Discharge Observed at Edge of Zone of Influence formula is defined as the measurement of groundwater flow or discharge at the outer boundary of the area affected by a particular hydrological activity, such as groundwater extraction, recharge, or contamination. This zone of influence is typically defined by the radius or extent to which the hydraulic effects of an activity, such as a pumping well, are felt. Discharge Observed at Edge of Zone of Influence is denoted by Q_iz symbol.

How to evaluate Discharge Observed at Edge of Zone of Influence using this online evaluator? To use this online evaluator for Discharge Observed at Edge of Zone of Influence, enter Transmissivity (τ), Possible Drawdown in Confined Aquifer (s'), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button.

FAQs on Discharge Observed at Edge of Zone of Influence

What is the formula to find Discharge Observed at Edge of Zone of Influence?

The formula of Discharge Observed at Edge of Zone of Influence is expressed as Discharge Observed at Edge of Zone of Influence = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1). Here is an example- 2.538122 = 2*pi*1.4*0.2/ln(10/5).

How to calculate Discharge Observed at Edge of Zone of Influence?

With Transmissivity (τ), Possible Drawdown in Confined Aquifer (s'), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) we can find Discharge Observed at Edge of Zone of Influence using the formula - Discharge Observed at Edge of Zone of Influence = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/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).

Can the Discharge Observed at Edge of Zone of Influence be negative?

Yes, the Discharge Observed at Edge of Zone of Influence, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge Observed at Edge of Zone of Influence?

Discharge Observed at Edge of Zone of Influence 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 Observed at Edge of Zone of Influence can be measured.

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Discharge Observed at Edge of Zone of Influence Formula

Discharge Observed at Edge of Zone of Influence Example

Discharge Observed at Edge of Zone of Influence Solution

Discharge Observed at Edge of Zone of Influence Formula Elements

Other formulas in Steady Flow into a Well category

How to Evaluate Discharge Observed at Edge of Zone of Influence?

FAQs on Discharge Observed at Edge of Zone of Influence

Variable Name