Change in Drawdown given Time at 1st and 2nd Instance Calculator

✖Discharge is the rate of flow of a fluid in unsteady flow.ⓘ Discharge [Q]			+10% -10%
✖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%
✖Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time of Drawdown (t1) [t₁]			+10% -10%
✖Time in Hours for Well Discharge is the time measured in hours for the discharge in wells.ⓘ Time in Hours for Well Discharge [t_hr]			+10% -10%

✖Difference in Drawdowns between the two wells.ⓘ Change in Drawdown given Time at 1st and 2nd Instance [Δs]

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Change in Drawdown given Time at 1st and 2nd Instance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge)
Δs = (2.303*Q*log((t2/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

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 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.
Time of Drawdown (t1) - (Measured in Second) - Time of Drawdown (t1) 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 is the time measured in hours for the discharge in wells.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Time of Drawdown: 240 Second --> 240 Second No Conversion Required
Time of Drawdown (t1): 120 Second --> 120 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

Δs = (2.303*Q*log((t2/t₁),10))/(4*pi*t_hr) --> (2.303*1.01*log((240/120),10))/(4*pi*36)

Evaluating ... ...

Δs = 0.0170802087652933

STEP 3: Convert Result to Output's Unit

0.0170802087652933 Meter --> No Conversion Required

FINAL ANSWER

0.0170802087652933 ≈ 0.01708 Meter <-- Difference in Drawdowns

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Drawdown and Change in Drawdown Calculators

Change in Drawdown given Time at 1st and 2nd Instance

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

Drawdown given Well Function

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

Change in Drawdown given Formation Constant T

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

Chow's Function given Drawdown

LaTeX Go Chow's Function = Total Drawdown in Well/Change in Drawdown

Change in Drawdown given Time at 1st and 2nd Instance Formula

LaTeX Go

Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge)
Δs = (2.303*Q*log((t2/t₁),10))/(4*pi*t_hr)

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 Change in Drawdown given Time at 1st and 2nd Instance?

Change in Drawdown given Time at 1st and 2nd Instance calculator uses Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge) to calculate the Difference in Drawdowns, Change in Drawdown given Time at 1st and 2nd Instance formula is defined as a measure of the alteration in drawdown of water table during unsteady flow, which occurs when the pumping rate or other aquifer properties change over time, allowing for the analysis of groundwater flow dynamics. Difference in Drawdowns is denoted by Δs symbol.

How to calculate Change in Drawdown given Time at 1st and 2nd Instance using this online calculator? To use this online calculator for Change in Drawdown given Time at 1st and 2nd Instance, enter Discharge (Q), Time of Drawdown (t2), Time of Drawdown (t1) (t₁) & Time in Hours for Well Discharge (t_hr) and hit the calculate button. Here is how the Change in Drawdown given Time at 1st and 2nd Instance calculation can be explained with given input values -> 0.01708 = (2.303*1.01*log((240/120),10))/(4*pi*36).

FAQ

What is Change in Drawdown given Time at 1st and 2nd Instance?

Change in Drawdown given Time at 1st and 2nd Instance formula is defined as a measure of the alteration in drawdown of water table during unsteady flow, which occurs when the pumping rate or other aquifer properties change over time, allowing for the analysis of groundwater flow dynamics and is represented as Δs = (2.303*Q*log((t2/t₁),10))/(4*pi*t_hr) or Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge). Discharge is the rate of flow of a fluid in unsteady flow, 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 (t1) 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 is the time measured in hours for the discharge in wells.

How to calculate Change in Drawdown given Time at 1st and 2nd Instance?

Change in Drawdown given Time at 1st and 2nd Instance formula is defined as a measure of the alteration in drawdown of water table during unsteady flow, which occurs when the pumping rate or other aquifer properties change over time, allowing for the analysis of groundwater flow dynamics is calculated using Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge). To calculate Change in Drawdown given Time at 1st and 2nd Instance, you need Discharge (Q), Time of Drawdown (t2), Time of Drawdown (t1) (t₁) & Time in Hours for Well Discharge (t_hr). With our tool, you need to enter the respective value for Discharge, Time of Drawdown, Time of Drawdown (t1) & 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.

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