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Depression Head after Pumping Stopped is the reduction in the water table or piezometric surface that remains after pumping has ceased. Check FAQs
hdp=hw1exp(KbtAcsw)
hdp - Depression Head after Pumping Stopped?hw1 - Depression Head in Well 1?Kb - Constant Dependent on Base Soil?t - Time?Acsw - Cross-Sectional Area of Well?

Depression Head in Well at Time T given Pumping Stopped and Constant Example

With values
With units
Only example

Here is how the Depression Head in Well at Time T given Pumping Stopped and Constant equation looks like with Values.

Here is how the Depression Head in Well at Time T given Pumping Stopped and Constant equation looks like with Units.

Here is how the Depression Head in Well at Time T given Pumping Stopped and Constant equation looks like.

0.6461Edit=3Editexp(4.99Edit4Edit13Edit)
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Depression Head in Well at Time T given Pumping Stopped and Constant Solution

Follow our step by step solution on how to calculate Depression Head in Well at Time T given Pumping Stopped and Constant?

FIRST Step Consider the formula
hdp=hw1exp(KbtAcsw)
Next Step Substitute values of Variables
hdp=3mexp(4.99m³/hr4h13)
Next Step Convert Units
hdp=3mexp(0.0014m³/s14400s13)
Next Step Prepare to Evaluate
hdp=3exp(0.00141440013)
Next Step Evaluate
hdp=0.646118518590733m
LAST Step Rounding Answer
hdp=0.6461m

Depression Head in Well at Time T given Pumping Stopped and Constant Formula Elements

Variables
Functions
Depression Head after Pumping Stopped
Depression Head after Pumping Stopped is the reduction in the water table or piezometric surface that remains after pumping has ceased.
Symbol: hdp
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Depression Head in Well 1
Depression Head in Well 1 is the depression head in the well when pumping stopped.
Symbol: hw1
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Constant Dependent on Base Soil
Constant Dependent on Base Soil is the constant depending on the soil at the base of the well.
Symbol: Kb
Measurement: Volumetric Flow RateUnit: m³/hr
Note: Value should be greater than 0.
Time
Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
Symbol: t
Measurement: TimeUnit: h
Note: Value should be greater than 0.
Cross-Sectional Area of Well
Cross-Sectional Area of Well is the the surface area of the interior opening of the well.
Symbol: Acsw
Measurement: AreaUnit:
Note: Value should be greater than 0.
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Depression Head after Pumping Stopped

​Go Depression Head in Well at Time T after Pumping Stopped and Clay Soil is Present
hdp=hw110(0.25t3600)
​Go Depression Head in Well at Time T after Pumping Stopped with Base 10 and Clay soil is Present
hdp=hw1100.25t36002.303
​Go Depression Head in Well at Time T after Pumping Stopped and Fine Sand is Present
hdp=hw110(0.52.303)t3600
​Go Depression Head in Well at Time T after Pumping Stopped with Base 10 and Fine Sand is Present
hdp=(hw110((0.5)t36002.303))

Other formulas in Depression Head after Pumping Stopped category

​Go Depression Head in Well at Time T after Pumping Stopped
hd=h1'exp(Kat)

How to Evaluate Depression Head in Well at Time T given Pumping Stopped and Constant?

Depression Head in Well at Time T given Pumping Stopped and Constant evaluator uses Depression Head after Pumping Stopped = Depression Head in Well 1/(exp((Constant Dependent on Base Soil*Time)/Cross-Sectional Area of Well)) to evaluate the Depression Head after Pumping Stopped, The Depression Head in Well at Time T given Pumping Stopped and Constant formula is defined as the calculation of the value of depression head in the well when we have prior information of other parameters used. Depression Head after Pumping Stopped is denoted by hdp symbol.

How to evaluate Depression Head in Well at Time T given Pumping Stopped and Constant using this online evaluator? To use this online evaluator for Depression Head in Well at Time T given Pumping Stopped and Constant, enter Depression Head in Well 1 (hw1), Constant Dependent on Base Soil (Kb), Time (t) & Cross-Sectional Area of Well (Acsw) and hit the calculate button.

FAQs on Depression Head in Well at Time T given Pumping Stopped and Constant

What is the formula to find Depression Head in Well at Time T given Pumping Stopped and Constant?
The formula of Depression Head in Well at Time T given Pumping Stopped and Constant is expressed as Depression Head after Pumping Stopped = Depression Head in Well 1/(exp((Constant Dependent on Base Soil*Time)/Cross-Sectional Area of Well)). Here is an example- 0.646119 = 3/(exp((0.00138611111111111*14400)/13)).
How to calculate Depression Head in Well at Time T given Pumping Stopped and Constant?
With Depression Head in Well 1 (hw1), Constant Dependent on Base Soil (Kb), Time (t) & Cross-Sectional Area of Well (Acsw) we can find Depression Head in Well at Time T given Pumping Stopped and Constant using the formula - Depression Head after Pumping Stopped = Depression Head in Well 1/(exp((Constant Dependent on Base Soil*Time)/Cross-Sectional Area of Well)). This formula also uses Exponential Growth (exp) function(s).
What are the other ways to Calculate Depression Head after Pumping Stopped?
Here are the different ways to Calculate Depression Head after Pumping Stopped-
  • Depression Head after Pumping Stopped=Depression Head in Well 1/10^((0.25*Time/3600))OpenImg
  • Depression Head after Pumping Stopped=Depression Head in Well 1/10^((0.25*Time/3600)/2.303)OpenImg
  • Depression Head after Pumping Stopped=Depression Head in Well 1/10^((0.5/2.303)*Time/3600)OpenImg
Can the Depression Head in Well at Time T given Pumping Stopped and Constant be negative?
No, the Depression Head in Well at Time T given Pumping Stopped and Constant, measured in Length cannot be negative.
Which unit is used to measure Depression Head in Well at Time T given Pumping Stopped and Constant?
Depression Head in Well at Time T given Pumping Stopped and Constant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depression Head in Well at Time T given Pumping Stopped and Constant can be measured.
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