Distance from Pumping Well given Storage Coefficient Calculator

✖Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.ⓘ Transmissivity [T]			+10% -10%
✖Starting Time corresponding to zero drawdown.ⓘ Starting Time [t₀]			+10% -10%
✖Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.ⓘ Storage Coefficient [S]			+10% -10%

✖Distance from Pumping Well to the point where drawdown occurs.ⓘ Distance from Pumping Well given Storage Coefficient [r]

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Formula

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Distance from Pumping Well given Storage Coefficient

Formula

`"r" = sqrt((2.25*"T"*"t"_{"0"}/"S"))`

Example

`"3.004409m"=sqrt((2.25*"11m²/s"*"31s"/"85"))`

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Distance from Pumping Well given Storage Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient))
r = sqrt((2.25*T*t₀/S))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Distance from Pumping Well - (Measured in Meter) - Distance from Pumping Well to the point where drawdown occurs.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.
Starting Time - (Measured in Second) - Starting Time corresponding to zero drawdown.
Storage Coefficient - Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

STEP 1: Convert Input(s) to Base Unit

Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Starting Time: 31 Second --> 31 Second No Conversion Required
Storage Coefficient: 85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((2.25*T*t₀/S)) --> sqrt((2.25*11*31/85))

Evaluating ... ...

r = 3.004408525523

STEP 3: Convert Result to Output's Unit

3.004408525523 Meter --> No Conversion Required

FINAL ANSWER

3.004408525523 ≈ 3.004409 Meter <-- Distance from Pumping 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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NSS College of Engineering (NSSCE), Palakkad

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< 11 Unsteady Flow in a Confined Aquifer Calculators

Equation for Drawdown

Go Total Drawdown = (Discharge/(4*pi*Transmissivity))*ln((2.2*Transmissivity*Time Period)/(Distance from Pumping Well^2*Storage Coefficient))

Drawdown at Time Interval 't1'

Go Drawdown at time interval t1 = Drawdown at time interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))

Drawdown at Time Interval 't2'

Go Drawdown at time interval t2 = ((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))+Drawdown at time interval t1

Equation for Well Function series to number of 4 digits

Go Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)

Equation for Well Parameter

Go Well Parameter = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time Period)

Distance from Pumping Well given Storage Coefficient

Go Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient))

Initial Time given Pumping Well along with Storage Coefficient

Go Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity)

Transmissivity about given storage coefficient

Go Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Starting Time)

Equation for Storage Coefficient

Go Storage Coefficient = 2.25*Transmissivity*Starting Time/Distance from Pumping Well^2

Initial Constant Piezometric Head given drawdown

Go Initial constant Piezometric Head = Possible Drawdown in Confined Aquifer+Drawdown at time t

Drawdown given Piezometric Head

Go Possible Drawdown in Confined Aquifer = Initial constant Piezometric Head-Drawdown at time t

Distance from Pumping Well given Storage Coefficient Formula

Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient))
r = sqrt((2.25*T*t₀/S))

What is Drawdown in Hydrology?

Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material in addition to the water itself.

How to Calculate Distance from Pumping Well given Storage Coefficient?

Distance from Pumping Well given Storage Coefficient calculator uses Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)) to calculate the Distance from Pumping Well, The Distance from Pumping Well given Storage Coefficient is defined as an essential parameter that represents the distance from the well to that point where drawdown occurs. Distance from Pumping Well is denoted by r symbol.

How to calculate Distance from Pumping Well given Storage Coefficient using this online calculator? To use this online calculator for Distance from Pumping Well given Storage Coefficient, enter Transmissivity (T), Starting Time (t₀) & Storage Coefficient (S) and hit the calculate button. Here is how the Distance from Pumping Well given Storage Coefficient calculation can be explained with given input values -> 3.004409 = sqrt((2.25*11*31/85)).

FAQ

What is Distance from Pumping Well given Storage Coefficient?

The Distance from Pumping Well given Storage Coefficient is defined as an essential parameter that represents the distance from the well to that point where drawdown occurs and is represented as r = sqrt((2.25*T*t₀/S)) or Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)). Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it, Starting Time corresponding to zero drawdown & Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

How to calculate Distance from Pumping Well given Storage Coefficient?

The Distance from Pumping Well given Storage Coefficient is defined as an essential parameter that represents the distance from the well to that point where drawdown occurs is calculated using Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient)). To calculate Distance from Pumping Well given Storage Coefficient, you need Transmissivity (T), Starting Time (t₀) & Storage Coefficient (S). With our tool, you need to enter the respective value for Transmissivity, Starting Time & Storage Coefficient 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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