Equilibrium Equation for Flow in Confined Aquifer at Observation Well Calculator

✖Transmissivity is the measure of how much water can be transmitted horizontally through a unit width of the entire thickness of an aquifer.ⓘ Transmissivity [τ]			+10% -10%
✖Piezometric Head at Radial Distance r2 is the hydraulic head measured at a specific radial distance r2 from a point of interest, typically a well or a pumping borehole.ⓘ Piezometric Head at Radial Distance r2 [h₂]			+10% -10%
✖Piezometric Head at Radial Distance r1 is the hydraulic head measured at a specific radial distance r1 from a point of interest, typically a well or a pumping borehole.ⓘ Piezometric Head at Radial Distance r1 [h₁]			+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%

✖Discharge Entering Cylindrical Surface into Well is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells.ⓘ Equilibrium Equation for Flow in Confined Aquifer at Observation Well [Q]

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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 is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells.
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.
Piezometric Head at Radial Distance r2 - (Measured in Meter) - Piezometric Head at Radial Distance r2 is the hydraulic head measured at a specific radial distance r2 from a point of interest, typically a well or a pumping borehole.
Piezometric Head at Radial Distance r1 - (Measured in Meter) - Piezometric Head at Radial Distance r1 is the hydraulic head measured at a specific radial distance r1 from a point of interest, typically a well or a pumping borehole.
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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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

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

Change in Piezometric Head

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

Change in Radial Distance

LaTeX 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

LaTeX 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

LaTeX Go

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 formula 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 formula 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 is the measure of how much water can be transmitted horizontally through a unit width of the entire thickness of an aquifer, Piezometric Head at Radial Distance r2 is the hydraulic head measured at a specific radial distance r2 from a point of interest, typically a well or a pumping borehole, Piezometric Head at Radial Distance r1 is the hydraulic head measured at a specific radial distance r1 from a point of interest, typically a well or a pumping borehole, 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 formula 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 1 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 Piezometric Head/Change in Radial Distance))

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