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Transmissivity when Discharge at Edge of Zone of Influence Formula

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Transmissivity at Edge of Zone of Influence is the capacity of the aquifer to transmit water at the boundary of the area influenced by the pumping well. Check FAQs

T iz = \frac{Q sf \cdot \ln (\frac{r 2}{r 1})}{2 \cdot π \cdot s'}

T_iz - Transmissivity at Edge of Zone of Influence?Q_sf - Steady Flow in a Confined Aquifer?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?s' - Possible Drawdown in Confined Aquifer?π - Archimedes' constant?

Transmissivity when Discharge at Edge of Zone of Influence Example

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

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

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

67.2939 = \frac{122 \cdot \ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot 0.2}

67.2939m²/s = \frac{122m³/s \cdot \ln (\frac{10m}{5m})}{2 \cdot 3.1416 \cdot 0.2m}

67.2939 = \frac{122 \cdot \ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot 0.2}

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Transmissivity when Discharge at Edge of Zone of Influence Solution

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

FIRST Step Consider the formula

T iz = \frac{Q sf \cdot \ln (\frac{r 2}{r 1})}{2 \cdot π \cdot s'}

Next Step Substitute values of Variables

∴

T iz = \frac{122m³/s \cdot \ln (\frac{10m}{5m})}{2 \cdot π \cdot 0.2m}

Next Step Substitute values of Constants

∴

T iz = \frac{122m³/s \cdot \ln (\frac{10m}{5m})}{2 \cdot 3.1416 \cdot 0.2m}

Next Step Prepare to Evaluate

∴

T iz = \frac{122 \cdot \ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot 0.2}

Next Step Evaluate

∴

T iz = 67.2938580465587m²/s

LAST Step Rounding Answer

∴

T iz = 67.2939m²/s

Transmissivity when Discharge at Edge of Zone of Influence Formula Elements

Variables

Constants

Functions

Transmissivity at Edge of Zone of Influence

Transmissivity at Edge of Zone of Influence is the capacity of the aquifer to transmit water at the boundary of the area influenced by the pumping well.

Symbol: T_iz

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissivity at Edge of Zone of Influence

Steady Flow in a Confined Aquifer

Steady Flow in a Confined Aquifer is a condition where groundwater flows through an aquifer under conditions of steady-state equilibrium.

Symbol: Q_sf

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Steady Flow in a 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

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

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 Transmissivity when Discharge at Edge of Zone of Influence?

Transmissivity when Discharge at Edge of Zone of Influence evaluator uses Transmissivity at Edge of Zone of Influence = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer) to evaluate the Transmissivity at Edge of Zone of Influence, The Transmissivity when Discharge at Edge of Zone of Influence formula is defined as the capacity of the aquifer to transmit water at the boundary of the area influenced by the pumping well. Transmissivity at Edge of Zone of Influence is denoted by T_iz symbol.

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

FAQs on Transmissivity when Discharge at Edge of Zone of Influence

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

The formula of Transmissivity when Discharge at Edge of Zone of Influence is expressed as Transmissivity at Edge of Zone of Influence = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer). Here is an example- 67.29386 = (122*ln(10/5))/(2*pi*0.2).

How to calculate Transmissivity when Discharge at Edge of Zone of Influence?

With Steady Flow in a Confined Aquifer (Q_sf), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁) & Possible Drawdown in Confined Aquifer (s') we can find Transmissivity when Discharge at Edge of Zone of Influence using the formula - Transmissivity at Edge of Zone of Influence = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Transmissivity when Discharge at Edge of Zone of Influence be negative?

Yes, the Transmissivity when Discharge at Edge of Zone of Influence, measured in Kinematic Viscosity can be negative.

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

Transmissivity when Discharge at Edge of Zone of Influence is usually measured using the Square Meter per Second[m²/s] for Kinematic Viscosity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Transmissivity when Discharge at Edge of Zone of Influence can be measured.

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Transmissivity when Discharge at Edge of Zone of Influence Formula

Transmissivity when Discharge at Edge of Zone of Influence Example

Transmissivity when Discharge at Edge of Zone of Influence Solution

Transmissivity when Discharge at Edge of Zone of Influence Formula Elements

Other formulas in Steady Flow into a Well category

How to Evaluate Transmissivity when Discharge at Edge of Zone of Influence?

FAQs on Transmissivity when Discharge at Edge of Zone of Influence

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