Discharge given Time at 1st and 2nd Instance Calculator

✖Change in Drawdown is defined as the difference at the two wells.ⓘ Change in Drawdown [Δd]			+10% -10%
✖Time of Drawdown (t2) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time of Drawdown (t2) in Wells [t_2sec]			+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 of Drawdown (t1) in Wells [t1]			+10% -10%
✖Time in Hours for Well Discharge can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time in Hours for Well Discharge [t_hr]			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Discharge given Time at 1st and 2nd Instance [Q]

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Formula

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Discharge given Time at 1st and 2nd Instance

Formula

`"Q" = "Δd"/((2.303*log(("t"_{"2sec"}/"t1"),10))/(4*pi*"t"_{"hr"}))`

Example

`"1.073187m³/s"="0.23m"/((2.303*log(("62s"/"58.7s"),10))/(4*pi*"0.01h"))`

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Discharge given Time at 1st and 2nd Instance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge))
Q = Δd/((2.303*log((t_2sec/t1),10))/(4*pi*t_hr))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Change in Drawdown - (Measured in Meter) - Change in Drawdown is defined as the difference at the two wells.
Time of Drawdown (t2) in Wells - (Measured in Second) - Time of Drawdown (t2) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level.
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 in Hours for Well Discharge - (Measured in Second) - Time in Hours for Well Discharge can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

STEP 1: Convert Input(s) to Base Unit

Change in Drawdown: 0.23 Meter --> 0.23 Meter No Conversion Required
Time of Drawdown (t2) in Wells: 62 Second --> 62 Second No Conversion Required
Time of Drawdown (t1) in Wells: 58.7 Second --> 58.7 Second No Conversion Required
Time in Hours for Well Discharge: 0.01 Hour --> 36 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = Δd/((2.303*log((t_2sec/t1),10))/(4*pi*t_hr)) --> 0.23/((2.303*log((62/58.7),10))/(4*pi*36))

Evaluating ... ...

Q = 1.07318720676219

STEP 3: Convert Result to Output's Unit

1.07318720676219 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.07318720676219 ≈ 1.073187 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Discharge in Well Calculators

Discharge given Time at 1st and 2nd Instance

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

Discharge given Drawdown

Go Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u

Discharge given Formation Constant T

Go Discharge = Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))

Discharge given Time at 1st and 2nd Instance Formula

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge given Time at 1st and 2nd Instance?

Discharge given Time at 1st and 2nd Instance calculator uses Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge)) to calculate the Discharge, The Discharge given Time at 1st and 2nd Instance is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge given Time at 1st and 2nd Instance using this online calculator? To use this online calculator for Discharge given Time at 1st and 2nd Instance, enter Change in Drawdown (Δd), Time of Drawdown (t2) in Wells (t_2sec), Time of Drawdown (t1) in Wells (t1) & Time in Hours for Well Discharge (t_hr) and hit the calculate button. Here is how the Discharge given Time at 1st and 2nd Instance calculation can be explained with given input values -> 1.073187 = 0.23/((2.303*log((62/58.7),10))/(4*pi*36)).

FAQ

What is Discharge given Time at 1st and 2nd Instance?

The Discharge given Time at 1st and 2nd Instance is defined as the value of discharge when we have prior information of other parameters used and is represented as Q = Δd/((2.303*log((t_2sec/t1),10))/(4*pi*t_hr)) or Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge)). Change in Drawdown is defined as the difference at the two wells, Time of Drawdown (t2) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level, 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 in Hours for Well Discharge can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

How to calculate Discharge given Time at 1st and 2nd Instance?

The Discharge given Time at 1st and 2nd Instance is defined as the value of discharge when we have prior information of other parameters used is calculated using Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge)). To calculate Discharge given Time at 1st and 2nd Instance, you need Change in Drawdown (Δd), Time of Drawdown (t2) in Wells (t_2sec), Time of Drawdown (t1) in Wells (t1) & Time in Hours for Well Discharge (t_hr). With our tool, you need to enter the respective value for Change in Drawdown, Time of Drawdown (t2) in Wells, Time of Drawdown (t1) in Wells & Time in Hours for Well Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Change in Drawdown, Time of Drawdown (t2) in Wells, Time of Drawdown (t1) in Wells & Time in Hours for Well Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u
Discharge = Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))

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