Transmissivity when Discharge and Drawdowns are considered Calculator

✖Steady Flow in a Confined Aquifer is a condition where groundwater flows through an aquifer under conditions of steady-state equilibrium.ⓘ 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 Start of Recuperation is measured at the beginning of the recuperation phase, which is the initial stage of recovery when the well starts to recover its water level after pumping stops.ⓘ Drawdown at Start of Recuperation [H₁]			+10% -10%
✖Drawdown at a Time is the measurement of the decline in groundwater levels over a specific period, typically in response to pumping or extraction activities.ⓘ Drawdown at a Time [H₂]			+10% -10%

✖Transmissivity is the measure of how much water can be transmitted horizontally through a unit width of the entire thickness of an aquifer.ⓘ Transmissivity when Discharge and Drawdowns are considered [τ]

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Formula

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Transmissivity when Discharge and Drawdowns are considered

Formula

τ = Q sf \cdot \frac{\ln (\frac{r 2}{r 1})}{2 \cdot π \cdot (H 1 - H 2)}

Example

2.691754 m²/s = 122 m³/s \cdot \frac{\ln (\frac{10.0 m}{5.0 m})}{2 \cdot π \cdot (15.0 m - 10.00 m)}

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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 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 is the measure of how much water can be transmitted horizontally through a unit width of the entire thickness of an aquifer.
Steady Flow in a Confined Aquifer - (Measured in Cubic Meter per Second) - Steady Flow in a Confined Aquifer is a condition where groundwater flows through an aquifer under conditions of steady-state equilibrium.
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 Start of Recuperation - (Measured in Meter) - Drawdown at Start of Recuperation is measured at the beginning of the recuperation phase, which is the initial stage of recovery when the well starts to recover its water level after pumping stops.
Drawdown at a Time - (Measured in Meter) - Drawdown at a Time is the measurement of the decline in groundwater levels over a specific period, typically in response to pumping or extraction activities.

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 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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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Steady Flow into a Well Calculators

Velocity of Flow by Darcy's Law at Radical Distance

Go Velocity of Flow at Radial Distance = Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance)

Change in Piezometric Head

Go Change in 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 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 Start of Recuperation-Drawdown at a Time)) to calculate the Transmissivity, The Transmissivity when Discharge and Drawdowns are considered formula is defined as 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 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?

The Transmissivity when Discharge and Drawdowns are considered formula is defined as 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 Start of Recuperation-Drawdown at a Time)). Steady Flow in a Confined Aquifer is a condition where groundwater flows through an aquifer under conditions of steady-state equilibrium, 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 Start of Recuperation is measured at the beginning of the recuperation phase, which is the initial stage of recovery when the well starts to recover its water level after pumping stops & Drawdown at a Time is the measurement of the decline in groundwater levels over a specific period, typically in response to pumping or extraction activities.

How to calculate Transmissivity when Discharge and Drawdowns are considered?

The Transmissivity when Discharge and Drawdowns are considered formula is defined as 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 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 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 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.

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