Depression Head in Well given Pumping Stopped with Discharge Calculator

✖Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped.ⓘ Depression Head 2 [h₂]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖The Total time interval is the amount of time required for the total change in concentration.ⓘ Total time interval [Δt]			+10% -10%
✖Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A_cs]			+10% -10%
✖Constant depression head in the well.ⓘ Constant Depression Head [H]			+10% -10%

✖Depression Head 1 is the difference of level of waters table and the water level in the well when pumping stopped.ⓘ Depression Head in Well given Pumping Stopped with Discharge [h₁]

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Formula

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Depression Head in Well given Pumping Stopped with Discharge

Formula

`"h"_{"1"} = "h"_{"2"}*10^(("Q"*"Δt")/("A"_{"cs"}*"H"*2.303))`

Example

`"7678.08m"="10m"*10^(("1.01m³/s"*"5s")/("20m²"*"0.038"*2.303))`

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Depression Head in Well given Pumping Stopped with Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303))
h₁ = h₂*10^((Q*Δt)/(A_cs*H*2.303))
This formula uses 6 Variables

Variables Used

Depression Head 1 - (Measured in Meter) - Depression Head 1 is the difference of level of waters table and the water level in the well when pumping stopped.
Depression Head 2 - (Measured in Meter) - Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Total time interval - (Measured in Second) - The Total time interval is the amount of time required for the total change in concentration.
Cross Sectional Area - (Measured in Square Meter) - Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Constant Depression Head - Constant depression head in the well.

STEP 1: Convert Input(s) to Base Unit

Depression Head 2: 10 Meter --> 10 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Total time interval: 5 Second --> 5 Second No Conversion Required
Cross Sectional Area: 20 Square Meter --> 20 Square Meter No Conversion Required
Constant Depression Head: 0.038 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₁ = h₂*10^((Q*Δt)/(A_cs*H*2.303)) --> 10*10^((1.01*5)/(20*0.038*2.303))

Evaluating ... ...

h₁ = 7678.08022017908

STEP 3: Convert Result to Output's Unit

7678.08022017908 Meter --> No Conversion Required

FINAL ANSWER

7678.08022017908 ≈ 7678.08 Meter <-- Depression Head 1

(Calculation completed in 00.020 seconds)

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< 11 Depression Head when Pumping Stopped Calculators

Depression Head in Well given Pumping Stopped with Discharge

Go Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303))

Depression Head in Well given Pumping Stopped and Constant

Go Depression Head 1 = Depression Head 2*exp((Constant*Time)/Cross Sectional Area)

Depression Head in Well given Pumping Stopped and Constant with Base 10

Go Depression Head 1 = Depression Head 2*10^((Constant*Time)/(Cross Sectional Area*2.303))

Depression Head in Well when Pumping Stopped

Go Depression Head 1 = Depression Head 2*exp(Specific Capacity*Time)

Depression Head in Well when Pumping Stopped with Base 10

Go Depression Head 1 = Depression Head 2*10^((Specific Capacity*Time)/2.303)

Depression Head in well given pumping stopped and clay soil is present

Go Depression Head 1 = Depression Head 2*exp(0.25*Total time interval)

Depression Head in Well given Pumping Stopped and Fine Sand is Present

Go Depression Head 1 = Depression Head 2*exp(0.5*Total time interval)

Depression Head in Well given Pumping Stopped and Coarse Sand is Present

Go Depression Head 1 = Depression Head 2*exp(1*Total time interval)

Depression Head in Well given Pumping Stopped with Base 10 and Clay soil is Present

Go Depression Head 1 = Depression Head 2*10^((0.25*Total time interval)/2.303)

Depression Head in Well given Pumping Stopped with Base 10 and Fine Sand is Present

Go Depression Head 1 = Depression Head 2*10^((0.5*Total time interval)/2.303)

Depression Head in Well given Pumping Stopped with Base 10 and Coarse Sand is Present

Go Depression Head 1 = Depression Head 2*10^((1*Total time interval)/2.303)

Depression Head in Well given Pumping Stopped with Discharge Formula

Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303))
h₁ = h₂*10^((Q*Δt)/(A_cs*H*2.303))

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 Depression Head in Well given Pumping Stopped with Discharge?

Depression Head in Well given Pumping Stopped with Discharge calculator uses Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303)) to calculate the Depression Head 1, The Depression Head in Well given Pumping Stopped with Discharge calculates value of depression head in well when pumping stopped and we have prior information of other parameters used. Depression Head 1 is denoted by h₁ symbol.

How to calculate Depression Head in Well given Pumping Stopped with Discharge using this online calculator? To use this online calculator for Depression Head in Well given Pumping Stopped with Discharge, enter Depression Head 2 (h₂), Discharge (Q), Total time interval (Δt), Cross Sectional Area (A_cs) & Constant Depression Head (H) and hit the calculate button. Here is how the Depression Head in Well given Pumping Stopped with Discharge calculation can be explained with given input values -> 7189.286 = 10*10^((discharge*5)/(20*0.038*2.303)).

FAQ

What is Depression Head in Well given Pumping Stopped with Discharge?

The Depression Head in Well given Pumping Stopped with Discharge calculates value of depression head in well when pumping stopped and we have prior information of other parameters used and is represented as h₁ = h₂*10^((Q*Δt)/(A_cs*H*2.303)) or Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303)). Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped, Discharge is the rate of flow of a liquid, The Total time interval is the amount of time required for the total change in concentration, Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Constant depression head in the well.

How to calculate Depression Head in Well given Pumping Stopped with Discharge?

The Depression Head in Well given Pumping Stopped with Discharge calculates value of depression head in well when pumping stopped and we have prior information of other parameters used is calculated using Depression Head 1 = Depression Head 2*10^((Discharge*Total time interval)/(Cross Sectional Area*Constant Depression Head*2.303)). To calculate Depression Head in Well given Pumping Stopped with Discharge, you need Depression Head 2 (h₂), Discharge (Q), Total time interval (Δt), Cross Sectional Area (A_cs) & Constant Depression Head (H). With our tool, you need to enter the respective value for Depression Head 2, Discharge, Total time interval, Cross Sectional Area & Constant Depression Head 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 Depression Head 1?

In this formula, Depression Head 1 uses Depression Head 2, Discharge, Total time interval, Cross Sectional Area & Constant Depression Head. We can use 10 other way(s) to calculate the same, which is/are as follows -

Depression Head 1 = Depression Head 2*exp(Specific Capacity*Time)
Depression Head 1 = Depression Head 2*10^((Specific Capacity*Time)/2.303)
Depression Head 1 = Depression Head 2*exp(0.25*Total time interval)
Depression Head 1 = Depression Head 2*10^((0.25*Total time interval)/2.303)
Depression Head 1 = Depression Head 2*exp(0.5*Total time interval)
Depression Head 1 = Depression Head 2*10^((0.5*Total time interval)/2.303)
Depression Head 1 = Depression Head 2*exp(1*Total time interval)
Depression Head 1 = Depression Head 2*10^((1*Total time interval)/2.303)
Depression Head 1 = Depression Head 2*exp((Constant*Time)/Cross Sectional Area)
Depression Head 1 = Depression Head 2*10^((Constant*Time)/(Cross Sectional Area*2.303))

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