Discharge in Confined Aquifer given Coefficient of Transmissibility Calculator

✖Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.ⓘ Coefficient of Transmissibility in Enviro. Eng. [T_w]			+10% -10%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+10% -10%

✖Discharge given Coefficient of Transmissibility is the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient.ⓘ Discharge in Confined Aquifer given Coefficient of Transmissibility [Q_ct]

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Formula

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Discharge in Confined Aquifer given Coefficient of Transmissibility

Formula

Q ct = \frac{2 \cdot π \cdot T w \cdot (H i - h w)}{\log ((\frac{R w}{r}), e)}

Example

0.925265 m³/s = \frac{2 \cdot π \cdot 26.9 m²/s \cdot (2.48 m - 2.44 m)}{\log ((\frac{8.6 m}{7.5 m}), e)}

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Discharge in Confined Aquifer given Coefficient of Transmissibility Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))
Q_ct = (2*pi*T_w*(H_i-h_w))/(log((R_w/r),e))
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge given Coefficient of Transmissibility - (Measured in Cubic Meter per Second) - Discharge given Coefficient of Transmissibility is the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient.
Coefficient of Transmissibility in Enviro. Eng. - (Measured in Square Meter per Second) - Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of Well - (Measured in Meter) - Radius of Well is defined as the distance from center of well to its outer boundary.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Transmissibility in Enviro. Eng.: 26.9 Square Meter per Second --> 26.9 Square Meter per Second No Conversion Required
Initial Aquifer Thickness: 2.48 Meter --> 2.48 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_ct = (2*pi*T_w*(H_i-h_w))/(log((R_w/r),e)) --> (2*pi*26.9*(2.48-2.44))/(log((8.6/7.5),e))

Evaluating ... ...

Q_ct = 0.9252648880574

STEP 3: Convert Result to Output's Unit

0.9252648880574 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.9252648880574 ≈ 0.925265 Cubic Meter per Second <-- Discharge given Coefficient of Transmissibility

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources Ground Water » Well Hydraulics » Confined Aquifer » Aquifer Discharge » Discharge in Confined Aquifer given Coefficient of Transmissibility

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< Aquifer Discharge Calculators

Discharge in Confined Aquifer

Go Discharge in Confined Aquifer = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))

Discharge in Confined Aquifer given Coefficient of Transmissibility

Go Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))

Discharge in Confined Aquifer with Base 10

Go Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Discharge in Confined Aquifer with Base 10 given Coefficient of Transmissibility

Go Discharge in Confined Aquifer = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Discharge in Confined Aquifer given Coefficient of Transmissibility Formula

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge in Confined Aquifer given Coefficient of Transmissibility?

Discharge in Confined Aquifer given Coefficient of Transmissibility calculator uses Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)) to calculate the Discharge given Coefficient of Transmissibility, The Discharge in Confined Aquifer given Coefficient of Transmissibility formula is defined as the value of the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient. Discharge given Coefficient of Transmissibility is denoted by Q_ct symbol.

How to calculate Discharge in Confined Aquifer given Coefficient of Transmissibility using this online calculator? To use this online calculator for Discharge in Confined Aquifer given Coefficient of Transmissibility, enter Coefficient of Transmissibility in Enviro. Eng. (T_w), Initial Aquifer Thickness (H_i), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Discharge in Confined Aquifer given Coefficient of Transmissibility calculation can be explained with given input values -> 0.925265 = (2*pi*26.9*(2.48-2.44))/(log((8.6/7.5),e)).

FAQ

What is Discharge in Confined Aquifer given Coefficient of Transmissibility?

The Discharge in Confined Aquifer given Coefficient of Transmissibility formula is defined as the value of the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient and is represented as Q_ct = (2*pi*T_w*(H_i-h_w))/(log((R_w/r),e)) or Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)). Coefficient of Transmissibility in Enviro. Eng. is defined as the rate of flow of water in gallons per day through a vertical strip of the aquifer, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, Depth of Water is the depth in the well measured above the impermeable layer, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of Well is defined as the distance from center of well to its outer boundary.

How to calculate Discharge in Confined Aquifer given Coefficient of Transmissibility?

The Discharge in Confined Aquifer given Coefficient of Transmissibility formula is defined as the value of the volume of water flowing through a confined aquifer per unit time, under the influence of a hydraulic gradient is calculated using Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e)). To calculate Discharge in Confined Aquifer given Coefficient of Transmissibility, you need Coefficient of Transmissibility in Enviro. Eng. (T_w), Initial Aquifer Thickness (H_i), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Coefficient of Transmissibility in Enviro. Eng, Initial Aquifer Thickness, Depth of Water, Radius of Influence & Radius of Well and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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