Transmissivity when Discharge and Drawdowns are considered Calculator

✖Steady flow in a confined aquifer is the flow or discharge into the auifer.ⓘ Steady Flow in a Confined Aquifer [Q_sf]			+10% -10%
✖Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 2 [r₂]			+10% -10%
✖Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.ⓘ Radial Distance at Observation Well 1 [r₁]			+10% -10%
✖Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table.ⓘ Drawdown at the Start of Recuperation [H₁]			+10% -10%
✖Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.ⓘ Drawdown at a Time [H₂]			+10% -10%

✖Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.ⓘ Transmissivity when Discharge and Drawdowns are considered [τ]

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Transmissivity when Discharge and Drawdowns are considered

Formula

`"τ" = "Q"_{"sf"}*ln("r"_{"2"}/"r"_{"1"})/(2*pi*("H"_{"1"}-"H"_{"2"}))`

Example

`"2.691754m²/s"="122m³/s"*ln("10.0m"/"5.0m")/(2*pi*("15.0m"-"10.0m"))`

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Transmissivity when Discharge and Drawdowns are considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time))
τ = Q_sf*ln(r₂/r₁)/(2*pi*(H₁-H₂))
This formula uses 1 Constants, 1 Functions, 6 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 - (Measured in Square Meter per Second) - Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.
Steady Flow in a Confined Aquifer - (Measured in Cubic Meter per Second) - Steady flow in a confined aquifer is the flow or discharge into the auifer.
Radial Distance at Observation Well 2 - (Measured in Meter) - Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used.
Radial Distance at Observation Well 1 - (Measured in Meter) - Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used.
Drawdown at the Start of Recuperation - (Measured in Meter) - Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table.
Drawdown at a Time - (Measured in Meter) - Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.

STEP 1: Convert Input(s) to Base Unit

Steady Flow in a Confined Aquifer: 122 Cubic Meter per Second --> 122 Cubic Meter per Second No Conversion Required
Radial Distance at Observation Well 2: 10 Meter --> 10 Meter No Conversion Required
Radial Distance at Observation Well 1: 5 Meter --> 5 Meter No Conversion Required
Drawdown at the Start of Recuperation: 15 Meter --> 15 Meter No Conversion Required
Drawdown at a Time: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = Q_sf*ln(r₂/r₁)/(2*pi*(H₁-H₂)) --> 122*ln(10/5)/(2*pi*(15-10))

Evaluating ... ...

τ = 2.69175432186235

STEP 3: Convert Result to Output's Unit

2.69175432186235 Square Meter per Second --> No Conversion Required

FINAL ANSWER

2.69175432186235 ≈ 2.691754 Square Meter per Second <-- Transmissivity

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 10+ Steady Flow into a Well Calculators

Thiem's equilibrium equation for steady flow in confined aquifer

Go Steady Flow in a Confined Aquifer = 2*pi*Coefficient of Permeability*Width of Aquifer*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Equilibrium Equation for Flow in Confined Aquifer at Observation Well

Go Discharge entering cylindrical surface into Well = (2*pi*Transmissivity*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1))/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Transmissivity when Discharge and Drawdowns are considered

Go Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time))

Discharge Observed at Edge of Zone of Influence

Go Discharge entering cylindrical surface into Well = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Discharge entering cylindrical surface to well discharge

Go Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance))

Transmissivity when discharge at edge of zone of influence

Go Transmissivity = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer)

Velocity of flow by Darcy's Law at Radical Distance

Go Velocity of Flow at Radial Distance = Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance)

Change in Piezometric Head

Go Change in the piezometric head = Velocity of Flow at Radial Distance*Change in Radial Distance/Coefficient of Permeability

Change in Radial Distance

Go Change in Radial Distance = Coefficient of Permeability*Change in the piezometric head/Velocity of Flow at Radial Distance

Cylindrical Surface through which Velocity of Flow Occurs

Go Surface through which the Velocity of Flow Occurs = 2*pi*Radial Distance*Width of Aquifer

Transmissivity when Discharge and Drawdowns are considered Formula

What is Recharge?

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. Groundwater recharge also encompasses water moving away from the water table farther into the saturated zone.

How to Calculate Transmissivity when Discharge and Drawdowns are considered?

Transmissivity when Discharge and Drawdowns are considered calculator uses Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time)) to calculate the Transmissivity, Transmissivity when Discharge and Drawdowns are considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity is denoted by τ symbol.

How to calculate Transmissivity when Discharge and Drawdowns are considered using this online calculator? To use this online calculator for Transmissivity when Discharge and Drawdowns are considered, enter Steady Flow in a Confined Aquifer (Q_sf), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) and hit the calculate button. Here is how the Transmissivity when Discharge and Drawdowns are considered calculation can be explained with given input values -> 2.691754 = 122*ln(10/5)/(2*pi*(15-10)).

FAQ

What is Transmissivity when Discharge and Drawdowns are considered?

Transmissivity when Discharge and Drawdowns are considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness and is represented as τ = Q_sf*ln(r₂/r₁)/(2*pi*(H₁-H₂)) or Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time)). Steady flow in a confined aquifer is the flow or discharge into the auifer, Radial Distance at Observation Well 2 is the value of radial distance from well 2 when we have prior information of other parameters used, Radial Distance at Observation Well 1 is the value of radial distance from well 1 when we have prior information of other parameters used, Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table & Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.

How to calculate Transmissivity when Discharge and Drawdowns are considered?

Transmissivity when Discharge and Drawdowns are considered describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness is calculated using Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time)). To calculate Transmissivity when Discharge and Drawdowns are considered, you need Steady Flow in a Confined Aquifer (Q_sf), Radial Distance at Observation Well 2 (r₂), Radial Distance at Observation Well 1 (r₁), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂). With our tool, you need to enter the respective value for Steady Flow in a Confined Aquifer, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Drawdown at the Start of Recuperation & Drawdown at a Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Transmissivity?

In this formula, Transmissivity uses Steady Flow in a Confined Aquifer, Radial Distance at Observation Well 2, Radial Distance at Observation Well 1, Drawdown at the Start of Recuperation & Drawdown at a Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Transmissivity = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer)

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