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

✖Discharge is the rate of flow of a liquid.ⓘ 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 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%

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

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Formula

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

Formula

`"Δs" = (2.303*"Q"*log(("t2"/"t"_{"1"}),10))/(4*pi*"t"_{"hr"})`

Example

`"0.01708m"=(2.303*"1.01m³/s"*log(("240s"/"120s"),10))/(4*pi*"0.01h")`

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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 at the two wells.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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 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

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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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Unsteady Flow » Drawdown and Change in Drawdown » Change in Drawdown given Time at 1st and 2nd Instance

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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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< 6 Drawdown and Change in Drawdown Calculators

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

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

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

Change in Drawdown given Formation Constant T

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

Change in Drawdown given Chow's Function

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

Chow's Function given Drawdown

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

Drawdown given Chow's Function

Go Total Drawdown in Well = Chow's Function*Change in Drawdown

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

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, The Change in Drawdown given Time at 1st and 2nd Instance is defined as the value of change in drawdown when we have prior information of other parameters used. 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?

The Change in Drawdown given Time at 1st and 2nd Instance is defined as the value of change in drawdown when we have prior information of other parameters used 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 liquid, 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 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 Change in Drawdown given Time at 1st and 2nd Instance?

The Change in Drawdown given Time at 1st and 2nd Instance is defined as the value of change in drawdown when we have prior information of other parameters used 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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