Equilibrium Equation for Flow in Confined Aquifer at Observation Well Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Q = (2*pi*τ*(h2-h1))/ln(r2/r1)
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
Discharge entering cylindrical surface into Well - (Measured in Cubic Meter per Second) - Discharge entering cylindrical surface into well discharge is the amount of fluid flowing through the cylindrical surface into the well.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.
Piezometric Head at Radial Distance r2 - (Measured in Meter) - Piezometric Head at Radial Distance r2 is important in calculating Thiem's equilibrium equation for steady flow.
Piezometric Head at Radial Distance r1 - (Measured in Meter) - Piezometric Head at Radial Distance r1 is important in calculating Thiem's equilibrium equation for steady flow.
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.
STEP 1: Convert Input(s) to Base Unit
Transmissivity: 1.4 Square Meter per Second --> 1.4 Square Meter per Second No Conversion Required
Piezometric Head at Radial Distance r2: 25 Meter --> 25 Meter No Conversion Required
Piezometric Head at Radial Distance r1: 15 Meter --> 15 Meter 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2*pi*τ*(h2-h1))/ln(r2/r1) --> (2*pi*1.4*(25-15))/ln(10/5)
Evaluating ... ...
Q = 126.906083971161
STEP 3: Convert Result to Output's Unit
126.906083971161 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
126.906083971161 126.9061 Cubic Meter per Second <-- Discharge entering cylindrical surface into Well
(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

Equilibrium Equation for Flow in Confined Aquifer at Observation Well Formula

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)
Q = (2*pi*τ*(h2-h1))/ln(r2/r1)

What is Transmissivity?

Transmissivity describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness. Transmissivity is measured as the rate at which groundwater can flow through an aquifer section of unit width under a unit hydraulic gradient.

How to Calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well?

Equilibrium Equation for Flow in Confined Aquifer at Observation Well calculator uses 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) to calculate the Discharge entering cylindrical surface into Well, The Equilibrium Equation for Flow in confined aquifer at Observation Well is defined as the flow of groundwater under pressure and will rise up inside a borehole drilled into the aquifer. The level to which the water rises is called the potentiometric surface. Discharge entering cylindrical surface into Well is denoted by Q symbol.

How to calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well using this online calculator? To use this online calculator for Equilibrium Equation for Flow in Confined Aquifer at Observation Well, enter Transmissivity (τ), Piezometric Head at Radial Distance r2 (h2), Piezometric Head at Radial Distance r1 (h1), Radial Distance at Observation Well 2 (r2) & Radial Distance at Observation Well 1 (r1) and hit the calculate button. Here is how the Equilibrium Equation for Flow in Confined Aquifer at Observation Well calculation can be explained with given input values -> 126.9061 = (2*pi*1.4*(25-15))/ln(10/5).

FAQ

What is Equilibrium Equation for Flow in Confined Aquifer at Observation Well?
The Equilibrium Equation for Flow in confined aquifer at Observation Well is defined as the flow of groundwater under pressure and will rise up inside a borehole drilled into the aquifer. The level to which the water rises is called the potentiometric surface and is represented as Q = (2*pi*τ*(h2-h1))/ln(r2/r1) or 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 describes the ability of the to transmit groundwater throughout its entire saturated thickness, Piezometric Head at Radial Distance r2 is important in calculating Thiem's equilibrium equation for steady flow, Piezometric Head at Radial Distance r1 is important in calculating Thiem's equilibrium equation for steady flow, 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.
How to calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well?
The Equilibrium Equation for Flow in confined aquifer at Observation Well is defined as the flow of groundwater under pressure and will rise up inside a borehole drilled into the aquifer. The level to which the water rises is called the potentiometric surface is calculated using 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). To calculate Equilibrium Equation for Flow in Confined Aquifer at Observation Well, you need Transmissivity (τ), Piezometric Head at Radial Distance r2 (h2), Piezometric Head at Radial Distance r1 (h1), Radial Distance at Observation Well 2 (r2) & Radial Distance at Observation Well 1 (r1). With our tool, you need to enter the respective value for Transmissivity, Piezometric Head at Radial Distance r2, Piezometric Head at Radial Distance r1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1 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 Discharge entering cylindrical surface into Well?
In this formula, Discharge entering cylindrical surface into Well uses Transmissivity, Piezometric Head at Radial Distance r2, Piezometric Head at Radial Distance r1, Radial Distance at Observation Well 2 & Radial Distance at Observation Well 1. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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)
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