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Transmissivity derived from time drawdown graphs Formula

GoModified equation for transmissivity from time drawdown graphs Formula

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The Transmissivity refers to the measure of how much water can be transmitted horizontally through an aquifer is the product of the hydraulic conductivity of the aquifer and its saturated thickness. Check FAQs

τ = \frac{2.3 \cdot q}{4 \cdot π \cdot Δs}

τ - Transmissivity?q - Pumping Rate?Δs - Drawdown Across One Log Cycle?π - Archimedes' constant?

Transmissivity derived from time drawdown graphs Example

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Here is how the Transmissivity derived from time drawdown graphs equation looks like with Values.

Here is how the Transmissivity derived from time drawdown graphs equation looks like with Units.

Here is how the Transmissivity derived from time drawdown graphs equation looks like.

0.0288 = \frac{2.3 \cdot 7}{4 \cdot 3.1416 \cdot 44.55}

0.0288m²/s = \frac{2.3 \cdot 7m³/s}{4 \cdot 3.1416 \cdot 44.55}

0.0288 = \frac{2.3 \cdot 7}{4 \cdot 3.1416 \cdot 44.55}

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Transmissivity derived from time drawdown graphs Solution

Follow our step by step solution on how to calculate Transmissivity derived from time drawdown graphs?

FIRST Step Consider the formula

τ = \frac{2.3 \cdot q}{4 \cdot π \cdot Δs}

Next Step Substitute values of Variables

∴

τ = \frac{2.3 \cdot 7m³/s}{4 \cdot π \cdot 44.55}

Next Step Substitute values of Constants

∴

τ = \frac{2.3 \cdot 7m³/s}{4 \cdot 3.1416 \cdot 44.55}

Next Step Prepare to Evaluate

∴

τ = \frac{2.3 \cdot 7}{4 \cdot 3.1416 \cdot 44.55}

Next Step Evaluate

∴

τ = 0.0287586373039227m²/s

LAST Step Rounding Answer

∴

τ = 0.0288m²/s

Transmissivity derived from time drawdown graphs Formula Elements

Variables

Constants

Transmissivity

The Transmissivity refers to the measure of how much water can be transmitted horizontally through an aquifer is the product of the hydraulic conductivity of the aquifer and its saturated thickness.

Symbol: τ

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Transmissivity

Pumping Rate

The Pumping Rate is referred as volume of water (or other fluid) that is pumped per unit of time. It’s typically measured in units like liters per second (L/s) or cubic meters per hour (m³/h).

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Pumping Rate

Drawdown Across One Log Cycle

The Drawdown Across One Log Cycle is referred as change in water level (or hydraulic head) in an aquifer due to pumping from a well.

Symbol: Δs

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drawdown Across One Log Cycle

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 Transmissivity

Go Modified equation for transmissivity from time drawdown graphs

τ = 35 \cdot \frac{q}{Δs}

Other formulas in Time Drawdown Analysis category

Go Time at which Steady Shape Conditions Develop

t c = \frac{7200 \cdot r^{2} \cdot S}{τ}

Go Storage Coefficient given time at which Steady Shape conditions develops

S = τ \cdot \frac{t c}{7200} \cdot r^{2}

Go Equation for pumping rate of transmissivity from time drawdown graphs

q = \frac{τ \cdot 4 \cdot π \cdot Δs D}{2.3}

Go Equation for drawdown across one log cycle

Δs D = \frac{2.3 \cdot q}{τ \cdot 4 \cdot π}

How to Evaluate Transmissivity derived from time drawdown graphs?

Transmissivity derived from time drawdown graphs evaluator uses Transmissivity = (2.3*Pumping Rate)/(4*pi*Drawdown Across One Log Cycle) to evaluate the Transmissivity, Transmissivity derived from time drawdown graphs is the rate at which water passes through a unit width of the aquifer under a unit hydraulic gradient. Transmissivity is denoted by τ symbol.

How to evaluate Transmissivity derived from time drawdown graphs using this online evaluator? To use this online evaluator for Transmissivity derived from time drawdown graphs, enter Pumping Rate (q) & Drawdown Across One Log Cycle (Δs) and hit the calculate button.

FAQs on Transmissivity derived from time drawdown graphs

What is the formula to find Transmissivity derived from time drawdown graphs?

The formula of Transmissivity derived from time drawdown graphs is expressed as Transmissivity = (2.3*Pumping Rate)/(4*pi*Drawdown Across One Log Cycle). Here is an example- 0.028759 = (2.3*7)/(4*pi*44.55).

How to calculate Transmissivity derived from time drawdown graphs?

With Pumping Rate (q) & Drawdown Across One Log Cycle (Δs) we can find Transmissivity derived from time drawdown graphs using the formula - Transmissivity = (2.3*Pumping Rate)/(4*pi*Drawdown Across One Log Cycle). This formula also uses Archimedes' constant .

What are the other ways to Calculate Transmissivity?

Here are the different ways to Calculate Transmissivity-

Transmissivity=35*Pumping Rate/Drawdown Across One Log Cycle

Can the Transmissivity derived from time drawdown graphs be negative?

No, the Transmissivity derived from time drawdown graphs, measured in Kinematic Viscosity cannot be negative.

Which unit is used to measure Transmissivity derived from time drawdown graphs?

Transmissivity derived from time drawdown graphs 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 derived from time drawdown graphs can be measured.

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