Transmissivity when Discharge at Drawdown is considered Calculator

✖The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.ⓘ Steady Flow of an Unconfined Aquifer [Q_u]			+10% -10%
✖Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development.ⓘ Radius at the edge of Zone of Influence [R]			+10% -10%
✖Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.ⓘ Radius of the Pumping Well [R_w]			+10% -10%
✖Drawdown at the Pumping Well is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.ⓘ Drawdown at the Pumping Well [s_w]			+10% -10%

✖Transmissivity of an unconfined aquifer describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.ⓘ Transmissivity when Discharge at Drawdown is considered [T]

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Transmissivity when Discharge at Drawdown is considered

Formula

`"T" = ("Q"_{"u"}*ln("R"/"R"_{"w"}))/(2*pi*"s"_{"w"})`

Example

`"0.70303m²/s"=("65m³/s"*ln("25m"/"6m"))/(2*pi*"21m")`

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Transmissivity when Discharge at Drawdown is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well)
T = (Q_u*ln(R/R_w))/(2*pi*s_w)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Transmissivity of an Unconfined Aquifer - (Measured in Square Meter per Second) - Transmissivity of an unconfined aquifer describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.
Steady Flow of an Unconfined Aquifer - (Measured in Cubic Meter per Second) - The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.
Radius at the edge of Zone of Influence - (Measured in Meter) - Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development.
Radius of the Pumping Well - (Measured in Meter) - Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.
Drawdown at the Pumping Well - (Measured in Meter) - Drawdown at the Pumping Well is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.

STEP 1: Convert Input(s) to Base Unit

Steady Flow of an Unconfined Aquifer: 65 Cubic Meter per Second --> 65 Cubic Meter per Second No Conversion Required
Radius at the edge of Zone of Influence: 25 Meter --> 25 Meter No Conversion Required
Radius of the Pumping Well: 6 Meter --> 6 Meter No Conversion Required
Drawdown at the Pumping Well: 21 Meter --> 21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (Q_u*ln(R/R_w))/(2*pi*s_w) --> (65*ln(25/6))/(2*pi*21)

Evaluating ... ...

T = 0.703029545422968

STEP 3: Convert Result to Output's Unit

0.703029545422968 Square Meter per Second --> No Conversion Required

FINAL ANSWER

0.703029545422968 ≈ 0.70303 Square Meter per Second <-- Transmissivity of an Unconfined Aquifer

(Calculation completed in 00.004 seconds)

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Transmissivity when Discharge at Drawdown is considered

Go Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well)

Drawdown when Steady Flow of Unconfined Aquifer

Go Drawdown at the Pumping Well = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Transmissivity of an Unconfined Aquifer)

Discharge when drawdown at pumping well is considered

Go Steady Flow of an Unconfined Aquifer = 2*pi*Transmissivity of an Unconfined Aquifer*Drawdown at the Pumping Well/ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well)

Drawdown at Pumping Well

Go Drawdown at the Pumping Well = (Saturated Thickness of the Aquifer-Depth of Water in the Pumping Well)

Transmissivity when Discharge at Drawdown is considered Formula

What is Discharge?

Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material in addition to the water itself.

How to Calculate Transmissivity when Discharge at Drawdown is considered?

Transmissivity when Discharge at Drawdown is considered calculator uses Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well) to calculate the Transmissivity of an Unconfined Aquifer, The Transmissivity when Discharge at Drawdown is considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity of an Unconfined Aquifer is denoted by T symbol.

How to calculate Transmissivity when Discharge at Drawdown is considered using this online calculator? To use this online calculator for Transmissivity when Discharge at Drawdown is considered, enter Steady Flow of an Unconfined Aquifer (Q_u), Radius at the edge of Zone of Influence (R), Radius of the Pumping Well (R_w) & Drawdown at the Pumping Well (s_w) and hit the calculate button. Here is how the Transmissivity when Discharge at Drawdown is considered calculation can be explained with given input values -> 0.70303 = (65*ln(25/6))/(2*pi*21).

FAQ

What is Transmissivity when Discharge at Drawdown is considered?

The Transmissivity when Discharge at Drawdown is considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness and is represented as T = (Q_u*ln(R/R_w))/(2*pi*s_w) or Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well). The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer, Radius at the edge of Zone of Influence which is an area of engineering soils likely to be affected by loading due to engineering or building development, Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow & Drawdown at the Pumping Well is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.

How to calculate Transmissivity when Discharge at Drawdown is considered?

The Transmissivity when Discharge at Drawdown is considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness is calculated using Transmissivity of an Unconfined Aquifer = (Steady Flow of an Unconfined Aquifer*ln(Radius at the edge of Zone of Influence/Radius of the Pumping Well))/(2*pi*Drawdown at the Pumping Well). To calculate Transmissivity when Discharge at Drawdown is considered, you need Steady Flow of an Unconfined Aquifer (Q_u), Radius at the edge of Zone of Influence (R), Radius of the Pumping Well (R_w) & Drawdown at the Pumping Well (s_w). With our tool, you need to enter the respective value for Steady Flow of an Unconfined Aquifer, Radius at the edge of Zone of Influence, Radius of the Pumping Well & Drawdown at the Pumping 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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