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Discharge is the rate of flow of a fluid in unsteady flow. Check FAQs
Q=Δd2.303log((t2sect1),10)4πthr
Q - Discharge?Δd - Change in Drawdown?t2sec - Time of Drawdown (t2) in Wells?t1 - Time of Drawdown (t1) in Wells?thr - Time in Hours for Well Discharge?π - Archimedes' constant?

Discharge given Time at 1st and 2nd Instance Example

With values
With units
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Here is how the Discharge given Time at 1st and 2nd Instance equation looks like with Values.

Here is how the Discharge given Time at 1st and 2nd Instance equation looks like with Units.

Here is how the Discharge given Time at 1st and 2nd Instance equation looks like.

1.0732Edit=0.23Edit2.303log((62Edit58.7Edit),10)43.14160.01Edit
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Discharge given Time at 1st and 2nd Instance Solution

Follow our step by step solution on how to calculate Discharge given Time at 1st and 2nd Instance?

FIRST Step Consider the formula
Q=Δd2.303log((t2sect1),10)4πthr
Next Step Substitute values of Variables
Q=0.23m2.303log((62s58.7s),10)4π0.01h
Next Step Substitute values of Constants
Q=0.23m2.303log((62s58.7s),10)43.14160.01h
Next Step Convert Units
Q=0.23m2.303log((62s58.7s),10)43.141636s
Next Step Prepare to Evaluate
Q=0.232.303log((6258.7),10)43.141636
Next Step Evaluate
Q=1.07318720676219m³/s
LAST Step Rounding Answer
Q=1.0732m³/s

Discharge given Time at 1st and 2nd Instance Formula Elements

Variables
Constants
Functions
Discharge
Discharge is the rate of flow of a fluid in unsteady flow.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
Change in Drawdown
Change in Drawdown is defined as the difference at the two wells.
Symbol: Δd
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Time of Drawdown (t2) in 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 for wells.
Symbol: t2sec
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Time of Drawdown (t1) in Wells
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.
Symbol: t1
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Time in Hours for Well Discharge
Time in Hours for Well Discharge is the time measured in hours for the discharge in wells.
Symbol: thr
Measurement: TimeUnit: h
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other Formulas to find Discharge

​Go Discharge given Drawdown
Q=4πFcstWu
​Go Discharge given Formation Constant T
Q=Fc2.3034πΔd

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

Discharge given Time at 1st and 2nd Instance evaluator 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 evaluate the Discharge, Discharge given Time at 1st and 2nd Instance formula is defined as a measure of the rate of fluid flow in an unsteady flow context, where the flow rate varies with time, and is used to quantify the amount of fluid that passes through a given surface per unit time. Discharge is denoted by Q symbol.

How to evaluate Discharge given Time at 1st and 2nd Instance using this online evaluator? To use this online evaluator for Discharge given Time at 1st and 2nd Instance, enter Change in Drawdown (Δd), Time of Drawdown (t2) in Wells (t2sec), Time of Drawdown (t1) in Wells (t1) & Time in Hours for Well Discharge (thr) and hit the calculate button.

FAQs on Discharge given Time at 1st and 2nd Instance

What is the formula to find Discharge given Time at 1st and 2nd Instance?
The formula of Discharge given Time at 1st and 2nd Instance is expressed as 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)). Here is an example- 1.073187 = 0.23/((2.303*log((62/58.7),10))/(4*pi*36)).
How to calculate Discharge given Time at 1st and 2nd Instance?
With Change in Drawdown (Δd), Time of Drawdown (t2) in Wells (t2sec), Time of Drawdown (t1) in Wells (t1) & Time in Hours for Well Discharge (thr) we can find Discharge given Time at 1st and 2nd Instance using the formula - 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)). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).
What are the other ways to Calculate Discharge?
Here are the different ways to Calculate Discharge-
  • Discharge=(4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of uOpenImg
  • Discharge=Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))OpenImg
Can the Discharge given Time at 1st and 2nd Instance be negative?
Yes, the Discharge given Time at 1st and 2nd Instance, measured in Volumetric Flow Rate can be negative.
Which unit is used to measure Discharge given Time at 1st and 2nd Instance?
Discharge given Time at 1st and 2nd Instance is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Time at 1st and 2nd Instance can be measured.
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