Discharge when drawdown at pumping well is considered Calculator

✖Transmissivity of an unconfined aquifer describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness.ⓘ Transmissivity of an Unconfined Aquifer [T]			+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%
✖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%

✖The steady flow of an Unconfined Aquifer is the rate at which the fluid discharges into the well of an unconfined auifer.ⓘ Discharge when drawdown at pumping well is considered [Q_u]

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Discharge when drawdown at pumping well is considered

Formula

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

Example

`"64.99727m³/s"=2*pi*"0.703m²/s"*"21m"/ln("25m"/"6m")`

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Discharge when drawdown at pumping well is considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_u = 2*pi*T*s_w/ln(R/R_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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmissivity of an Unconfined Aquifer: 0.703 Square Meter per Second --> 0.703 Square Meter per Second No Conversion Required
Drawdown at the Pumping Well: 21 Meter --> 21 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_u = 2*pi*T*s_w/ln(R/R_w) --> 2*pi*0.703*21/ln(25/6)

Evaluating ... ...

Q_u = 64.9972683189413

STEP 3: Convert Result to Output's Unit

64.9972683189413 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

64.9972683189413 ≈ 64.99727 Cubic Meter per Second <-- Steady Flow of an Unconfined Aquifer

(Calculation completed in 00.004 seconds)

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< 4 Approximate Equations Calculators

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)

Discharge when drawdown at pumping well is considered Formula

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer . This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface.

How to Calculate Discharge when drawdown at pumping well is considered?

Discharge when drawdown at pumping well is considered calculator uses 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) to calculate the Steady Flow of an Unconfined Aquifer, Discharge when drawdown at pumping well is considered is defined as volumetric flow rate of water that is transported through given cross-sectional area. Steady Flow of an Unconfined Aquifer is denoted by Q_u symbol.

How to calculate Discharge when drawdown at pumping well is considered using this online calculator? To use this online calculator for Discharge when drawdown at pumping well is considered, enter Transmissivity of an Unconfined Aquifer (T), Drawdown at the Pumping Well (s_w), Radius at the edge of Zone of Influence (R) & Radius of the Pumping Well (R_w) and hit the calculate button. Here is how the Discharge when drawdown at pumping well is considered calculation can be explained with given input values -> 64.99727 = 2*pi*0.703*21/ln(25/6).

FAQ

What is Discharge when drawdown at pumping well is considered?

Discharge when drawdown at pumping well is considered is defined as volumetric flow rate of water that is transported through given cross-sectional area and is represented as Q_u = 2*pi*T*s_w/ln(R/R_w) or 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). Transmissivity of an unconfined aquifer describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness, Drawdown at the Pumping Well is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow, 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.

How to calculate Discharge when drawdown at pumping well is considered?

Discharge when drawdown at pumping well is considered is defined as volumetric flow rate of water that is transported through given cross-sectional area is calculated using 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). To calculate Discharge when drawdown at pumping well is considered, you need Transmissivity of an Unconfined Aquifer (T), Drawdown at the Pumping Well (s_w), Radius at the edge of Zone of Influence (R) & Radius of the Pumping Well (R_w). With our tool, you need to enter the respective value for Transmissivity of an Unconfined Aquifer, Drawdown at the Pumping Well, Radius at the edge of Zone of Influence & Radius of 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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