Initial Time given Pumping Well along with Storage Coefficient Calculator

✖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 [r]			+10% -10%
✖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.ⓘ Initial Time given Pumping Well along with Storage Coefficient [t₀]

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Formula

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Initial Time given Pumping Well along with Storage Coefficient

Formula

`"t"_{"0"} = ("S"*"r"^2)/(2.25*"T")`

Example

`"30.90909s"=("85"*("3m")^2)/(2.25*"11m²/s")`

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Initial Time given Pumping Well along with Storage Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity)
t₀ = (S*r^2)/(2.25*T)
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Storage Coefficient: 85 --> No Conversion Required
Distance from Pumping Well: 3 Meter --> 3 Meter No Conversion Required
Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t₀ = (S*r^2)/(2.25*T) --> (85*3^2)/(2.25*11)

Evaluating ... ...

t₀ = 30.9090909090909

STEP 3: Convert Result to Output's Unit

30.9090909090909 Second --> No Conversion Required

FINAL ANSWER

30.9090909090909 ≈ 30.90909 Second <-- Starting Time

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Initial Time given Pumping Well along with Storage Coefficient Formula

Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity)
t₀ = (S*r^2)/(2.25*T)

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 Initial Time given Pumping Well along with Storage Coefficient?

Initial Time given Pumping Well along with Storage Coefficient calculator uses Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity) to calculate the Starting Time, The Initial Time given Pumping Well along with Storage Coefficient is defined as the starting time that corresponds to zero drawdown. Starting Time is denoted by t₀ symbol.

How to calculate Initial Time given Pumping Well along with Storage Coefficient using this online calculator? To use this online calculator for Initial Time given Pumping Well along with Storage Coefficient, enter Storage Coefficient (S), Distance from Pumping Well (r) & Transmissivity (T) and hit the calculate button. Here is how the Initial Time given Pumping Well along with Storage Coefficient calculation can be explained with given input values -> 30.90909 = (85*3^2)/(2.25*11).

FAQ

What is Initial Time given Pumping Well along with Storage Coefficient?

The Initial Time given Pumping Well along with Storage Coefficient is defined as the starting time that corresponds to zero drawdown and is represented as t₀ = (S*r^2)/(2.25*T) or Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity). 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, Distance from Pumping Well to the point where drawdown occurs & 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.

How to calculate Initial Time given Pumping Well along with Storage Coefficient?

The Initial Time given Pumping Well along with Storage Coefficient is defined as the starting time that corresponds to zero drawdown is calculated using Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity). To calculate Initial Time given Pumping Well along with Storage Coefficient, you need Storage Coefficient (S), Distance from Pumping Well (r) & Transmissivity (T). With our tool, you need to enter the respective value for Storage Coefficient, Distance from Pumping Well & Transmissivity 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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