Transmissivity when Discharge at Drawdown is Considered Calculator

✖The Steady Flow of an Unconfined Aquifer refers to a condition where the groundwater flow rate and the water table level remain constant over time.ⓘ Steady Flow of an Unconfined Aquifer [Q_u]			+10% -10%
✖The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.ⓘ Radius at the Edge of Zone of Influence [r]			+10% -10%
✖The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.ⓘ Radius of the Pumping Well [R_w]			+10% -10%
✖The Drawdown at the Pumping Well refers to the 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%

✖The Transmissivity of an Unconfined Aquifer refers to 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 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) - The Transmissivity of an Unconfined Aquifer refers to 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 refers to a condition where the groundwater flow rate and the water table level remain constant over time.
Radius at the Edge of Zone of Influence - (Measured in Meter) - The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected.
Radius of the Pumping Well - (Measured in Meter) - The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.
Drawdown at the Pumping Well - (Measured in Meter) - The Drawdown at the Pumping Well refers to the 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 00.020 seconds)

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Transmissivity when Discharge at Drawdown is Considered

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go

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 formula is defined as 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 formula is defined as 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 refers to a condition where the groundwater flow rate and the water table level remain constant over time, The Radius at the Edge of Zone of Influence refers to the maximum distance from a pumping well where the effects of drawdown (lowering of the water table) can be detected, The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge & The Drawdown at the Pumping Well refers to the 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 formula is defined as 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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