Discharge Observed at Edge of Zone of Influence Calculator

✖Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.ⓘ Transmissivity [τ]			+10% -10%
✖Possible Drawdown in Confined Aquifer is the drawdown that would have occurred if the aquifer had been confined (that is, if no dewatering had occurred).ⓘ Possible Drawdown in Confined Aquifer [s']			+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 discharge is the amount of fluid flowing through the cylindrical surface into the well.ⓘ Discharge Observed at Edge of Zone of Influence [Q]

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Formula

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Discharge Observed at Edge of Zone of Influence

Formula

`"Q" = 2*pi*"τ"*"s'"/ln("r"_{"2"}/"r"_{"1"})`

Example

`"2.538122m³/s"=2*pi*"1.4m²/s"*"0.2m"/ln("10.0m"/"5.0m")`

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Discharge Observed at Edge of Zone of Influence Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q = 2*pi*τ*s'/ln(r₂/r₁)
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

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.
Possible Drawdown in Confined Aquifer - (Measured in Meter) - Possible Drawdown in Confined Aquifer is the drawdown that would have occurred if the aquifer had been confined (that is, if no dewatering had occurred).
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
Possible Drawdown in Confined Aquifer: 0.2 Meter --> 0.2 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*s'/ln(r₂/r₁) --> 2*pi*1.4*0.2/ln(10/5)

Evaluating ... ...

Q = 2.53812167942323

STEP 3: Convert Result to Output's Unit

2.53812167942323 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.53812167942323 ≈ 2.538122 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

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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NSS College of Engineering (NSSCE), Palakkad

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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

Discharge Observed at Edge of Zone of Influence Formula

What is Transmissivity?

Transmissivity describes the ability of the aquifer to transmit groundwater throughout its entire saturated thickness (Figure 7). 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 Discharge Observed at Edge of Zone of Influence?

Discharge Observed at Edge of Zone of Influence calculator uses 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) to calculate the Discharge entering cylindrical surface into Well, The Discharge Observed at Edge of Zone of Influence is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the edge of zone of influence in groundwater flow. Discharge entering cylindrical surface into Well is denoted by Q symbol.

How to calculate Discharge Observed at Edge of Zone of Influence using this online calculator? To use this online calculator for Discharge Observed at Edge of Zone of Influence, enter Transmissivity (τ), Possible Drawdown in Confined Aquifer (s'), Radial Distance at Observation Well 2 (r₂) & Radial Distance at Observation Well 1 (r₁) and hit the calculate button. Here is how the Discharge Observed at Edge of Zone of Influence calculation can be explained with given input values -> 2.538122 = 2*pi*1.4*0.2/ln(10/5).

FAQ

What is Discharge Observed at Edge of Zone of Influence?

The Discharge Observed at Edge of Zone of Influence is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the edge of zone of influence in groundwater flow and is represented as Q = 2*pi*τ*s'/ln(r₂/r₁) or 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). Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness, Possible Drawdown in Confined Aquifer is the drawdown that would have occurred if the aquifer had been confined (that is, if no dewatering had occurred), 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 Discharge Observed at Edge of Zone of Influence?

The Discharge Observed at Edge of Zone of Influence is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the edge of zone of influence in groundwater flow is calculated using 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). To calculate Discharge Observed at Edge of Zone of Influence, you need Transmissivity (τ), Possible Drawdown in Confined Aquifer (s'), 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, Possible Drawdown in Confined Aquifer, 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, Possible Drawdown in Confined Aquifer, 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*(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)

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