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Transmissivity when Discharge and Drawdowns are considered Formula

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

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

τ - Transmissivity?Q_sf - Steady Flow in a Confined Aquifer?r₂ - Radial Distance at Observation Well 2?r₁ - Radial Distance at Observation Well 1?H₁ - Drawdown at Start of Recuperation?H₂ - Drawdown at a Time?π - Archimedes' constant?

Transmissivity when Discharge and Drawdowns are considered Example

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Here is how the Transmissivity when Discharge and Drawdowns are considered equation looks like with Values.

Here is how the Transmissivity when Discharge and Drawdowns are considered equation looks like with Units.

Here is how the Transmissivity when Discharge and Drawdowns are considered equation looks like.

2.6918 = 122 \cdot \frac{\ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot (15 - 10)}

2.6918m²/s = 122m³/s \cdot \frac{\ln (\frac{10m}{5m})}{2 \cdot 3.1416 \cdot (15m - 10m)}

2.6918 = 122 \cdot \frac{\ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot (15 - 10)}

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Transmissivity when Discharge and Drawdowns are considered Solution

Follow our step by step solution on how to calculate Transmissivity when Discharge and Drawdowns are considered?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = 122m³/s \cdot \frac{\ln (\frac{10m}{5m})}{2 \cdot π \cdot (15m - 10m)}

Next Step Substitute values of Constants

∴

τ = 122m³/s \cdot \frac{\ln (\frac{10m}{5m})}{2 \cdot 3.1416 \cdot (15m - 10m)}

Next Step Prepare to Evaluate

∴

τ = 122 \cdot \frac{\ln (\frac{10}{5})}{2 \cdot 3.1416 \cdot (15 - 10)}

Next Step Evaluate

∴

τ = 2.69175432186235m²/s

LAST Step Rounding Answer

∴

τ = 2.6918m²/s

Transmissivity when Discharge and Drawdowns are considered Formula Elements

Variables

Constants

Functions

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.

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.

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.

Drawdown at Start of Recuperation

Drawdown at Start of Recuperation is measured at the beginning of the recuperation phase, which is the initial stage of recovery when the well starts to recover its water level after pumping stops.

Symbol: H₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Drawdown at a Time

Drawdown at a Time is the measurement of the decline in groundwater levels over a specific period, typically in response to pumping or extraction activities.

Symbol: H₂

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

Creator Image

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!

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S = 2 \cdot π \cdot r \cdot H a

See More

How to Evaluate Transmissivity when Discharge and Drawdowns are considered?

Transmissivity when Discharge and Drawdowns are considered evaluator uses Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at Start of Recuperation-Drawdown at a Time)) to evaluate the Transmissivity, The Transmissivity when Discharge and Drawdowns are considered formula is defined as the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity is denoted by τ symbol.

How to evaluate Transmissivity when Discharge and Drawdowns are considered using this online evaluator? To use this online evaluator for Transmissivity when Discharge and Drawdowns are considered, enter Steady Flow in a Confined Aquifer (Q_sf), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Drawdown at Start of Recuperation (H₁) & Drawdown at a Time (H₂) and hit the calculate button.

FAQs on Transmissivity when Discharge and Drawdowns are considered

What is the formula to find Transmissivity when Discharge and Drawdowns are considered?

The formula of Transmissivity when Discharge and Drawdowns are considered is expressed as Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at Start of Recuperation-Drawdown at a Time)). Here is an example- 2.691754 = 122*ln(10/5)/(2*pi*(15-10)).

How to calculate Transmissivity when Discharge and Drawdowns are considered?

With Steady Flow in a Confined Aquifer (Q_sf), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Drawdown at Start of Recuperation (H₁) & Drawdown at a Time (H₂) we can find Transmissivity when Discharge and Drawdowns are considered using the formula - Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at Start of Recuperation-Drawdown at a Time)). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Transmissivity when Discharge and Drawdowns are considered be negative?

Yes, the Transmissivity when Discharge and Drawdowns are considered, measured in Kinematic Viscosity can be negative.

Which unit is used to measure Transmissivity when Discharge and Drawdowns are considered?

Transmissivity when Discharge and Drawdowns are considered 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 and Drawdowns are considered can be measured.

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