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*tseconds)))
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 for wells.
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 between the two wells.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a fluid in unsteady flow.
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, measured in seconds.
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*tseconds))) --> 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 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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​ LaTeX ​ 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
​ LaTeX ​ Go Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))
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​ LaTeX ​ Go Time in Days = Formation Constant S/((4*Well Function Constant*Formation Constant T)/(Radial Distance)^2)
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​ LaTeX ​ 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

​LaTeX ​Go
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*tseconds)))

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, Time at 1st Instance since Pumping Started given Discharge formula is defined as a measure of the time elapsed from the start of pumping to the first instance of a specific event in an unsteady flow context, providing insights into the dynamics of fluid flow and pressure changes. 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 (tseconds) 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?
Time at 1st Instance since Pumping Started given Discharge formula is defined as a measure of the time elapsed from the start of pumping to the first instance of a specific event in an unsteady flow context, providing insights into the dynamics of fluid flow and pressure changes and is represented as t1 = t2/10^(Δs/((2.303*Q)/(4*pi*tseconds))) 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 between the two wells, Discharge is the rate of flow of a fluid in unsteady flow & 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, measured in seconds.
How to calculate Time at 1st Instance since Pumping Started given Discharge?
Time at 1st Instance since Pumping Started given Discharge formula is defined as a measure of the time elapsed from the start of pumping to the first instance of a specific event in an unsteady flow context, providing insights into the dynamics of fluid flow and pressure changes 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 (tseconds). 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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