Time at 1st Instance since Pumping Started given Discharge Calculator

✖Time of Drawdown is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time of Drawdown [t2]			+10% -10%
✖Difference in Drawdowns at the two wells.ⓘ Difference in Drawdowns [Δs]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Time in Seconds is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.ⓘ Time in Seconds [t_seconds]			+10% -10%

✖Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time at 1st Instance since Pumping Started given Discharge [t1]

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Formula

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Time at 1st Instance since Pumping Started given Discharge

Formula

`"t1" = "t2"/10^("Δs"/((2.303*"Q")/(4*pi*"t"_{"seconds"})))`

Example

`"59.58426s"="240s"/10^("0.014m"/((2.303*"1.01m³/s")/(4*pi*"8s")))`

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Time at 1st Instance since Pumping Started given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))
t1 = t2/10^(Δs/((2.303*Q)/(4*pi*t_seconds)))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Time of Drawdown (t1) in Wells - (Measured in Second) - Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level.
Time of Drawdown - (Measured in Second) - Time of Drawdown is the total period for the difference between the pumping water level and the static (non-pumping) water level.
Difference in Drawdowns - (Measured in Meter) - Difference in Drawdowns at the two wells.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Time in Seconds - (Measured in Second) - Time in Seconds is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

STEP 1: Convert Input(s) to Base Unit

Time of Drawdown: 240 Second --> 240 Second No Conversion Required
Difference in Drawdowns: 0.014 Meter --> 0.014 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Time in Seconds: 8 Second --> 8 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t1 = t2/10^(Δs/((2.303*Q)/(4*pi*t_seconds))) --> 240/10^(0.014/((2.303*1.01)/(4*pi*8)))

Evaluating ... ...

t1 = 59.5842603777022

STEP 3: Convert Result to Output's Unit

59.5842603777022 Second --> No Conversion Required

FINAL ANSWER

59.5842603777022 ≈ 59.58426 Second <-- Time of Drawdown (t1) in Wells

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 5 Time of Flow Calculators

Time in Hours given Time at 1st and 2nd Instance since Pumping Started

Go Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns)

Time at 1st Instance since Pumping Started given Discharge

Go Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))

Time at 2nd Instance since Pumping Started given Discharge

Go Time of Drawdown = Time of Drawdown (t1) in Wells*10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))

Time given Formation Constant S

Go Time in Days = Formation Constant S/((4*Well Function Constant*Formation Constant T)/(Radial Distance)^2)

Time in Days given Radial Distance

Go Time in Days = Formation Constant S/((2.25*Formation Constant T)/(Radial Distance)^2)

Time at 1st Instance since Pumping Started given Discharge Formula

Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))
t1 = t2/10^(Δs/((2.303*Q)/(4*pi*t_seconds)))

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Time at 1st Instance since Pumping Started given Discharge?

Time at 1st Instance since Pumping Started given Discharge calculator uses Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))) to calculate the Time of Drawdown (t1) in Wells, The Time at 1st Instance since Pumping Started given Discharge is defined as the value of time at 1st instance when we have prior information of other parameters used. Time of Drawdown (t1) in Wells is denoted by t1 symbol.

How to calculate Time at 1st Instance since Pumping Started given Discharge using this online calculator? To use this online calculator for Time at 1st Instance since Pumping Started given Discharge, enter Time of Drawdown (t2), Difference in Drawdowns (Δs), Discharge (Q) & Time in Seconds (t_seconds) and hit the calculate button. Here is how the Time at 1st Instance since Pumping Started given Discharge calculation can be explained with given input values -> 59.58426 = 240/10^(0.014/((2.303*1.01)/(4*pi*8))).

FAQ

What is Time at 1st Instance since Pumping Started given Discharge?

The Time at 1st Instance since Pumping Started given Discharge is defined as the value of time at 1st instance when we have prior information of other parameters used and is represented as t1 = t2/10^(Δs/((2.303*Q)/(4*pi*t_seconds))) or Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))). Time of Drawdown is the total period for the difference between the pumping water level and the static (non-pumping) water level, Difference in Drawdowns at the two wells, Discharge is the rate of flow of a liquid & Time in Seconds is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

How to calculate Time at 1st Instance since Pumping Started given Discharge?

The Time at 1st Instance since Pumping Started given Discharge is defined as the value of time at 1st instance when we have prior information of other parameters used is calculated using Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds))). To calculate Time at 1st Instance since Pumping Started given Discharge, you need Time of Drawdown (t2), Difference in Drawdowns (Δs), Discharge (Q) & Time in Seconds (t_seconds). With our tool, you need to enter the respective value for Time of Drawdown, Difference in Drawdowns, Discharge & Time in Seconds 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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