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 is the horizontal distance between a specific point in an aquifer and the location of a pumping well. It influences the behavior of groundwater flow.
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 is the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test.
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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11 Unsteady Flow in a Confined Aquifer Calculators

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!)
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
Drawdown given Piezometric Head
​ Go Possible Drawdown in Confined Aquifer = Initial Constant Piezometric Head-Drawdown

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?

Drawdown is a change in groundwater level due to an applied stress, caused by events such as: Pumping from a well, pumping from a neighboring well, intensive water taking from local area, seasonal declines as recharge rates lower.

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 formula is defined as the radius or area around a well where the drawdown or reduction in groundwater level can be observed. This distance is influenced by the storage coefficient, which is a measure of the amount of water a confined aquifer releases from storage per unit surface area of the aquifer per unit decline in the piezometric head. 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 formula is defined as the radius or area around a well where the drawdown or reduction in groundwater level can be observed. This distance is influenced by the storage coefficient, which is a measure of the amount of water a confined aquifer releases from storage per unit surface area of the aquifer per unit decline in the piezometric head 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 is the initial moment or period when an aquifer test or pumping test begins. This is crucial for understanding the response of the groundwater system to the stress imposed by the test & 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 formula is defined as the radius or area around a well where the drawdown or reduction in groundwater level can be observed. This distance is influenced by the storage coefficient, which is a measure of the amount of water a confined aquifer releases from storage per unit surface area of the aquifer per unit decline in the piezometric head 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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