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

STEP 0: Pre-Calculation Summary
Formula Used
Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area))
h2 = h1/(exp((K*t)/Acs))
This formula uses 1 Functions, 5 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Depression head - (Measured in Meter) - Depression head in the well at a time T after the pumping stopped.
Depression head - (Measured in Meter) - Depression head in the well when pumping stopped.
Constant - (Measured in Cubic Meter per Second) - Constant depending on the soil at the base of the well.
Time - (Measured in Second) - Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
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.
STEP 1: Convert Input(s) to Base Unit
Depression head: 3 Meter --> 3 Meter No Conversion Required
Constant: 5 Cubic Meter per Hour --> 0.00138888888888889 Cubic Meter per Second (Check conversion here)
Time: 4 Hour --> 14400 Second (Check conversion here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h2 = h1/(exp((K*t)/Acs)) --> 3/(exp((0.00138888888888889*14400)/13))
Evaluating ... ...
h2 = 0.644133517025091
STEP 3: Convert Result to Output's Unit
0.644133517025091 Meter --> No Conversion Required
FINAL ANSWER
0.644133517025091 0.644134 Meter <-- Depression head
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

11 Depression Head after Pumping Stopped Calculators

Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time
Go Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303)))
Depression Head in Well at Time T given Pumping Stopped and Constant
Go Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area))
Depression Head in Well at Time T given Pumping Stopped and Constant with Base 10
Go Depression head = Depression head/(10^((Constant*Time)/(Cross-Sectional Area*2.303)))
Depression Head in Well at Time T after Pumping Stopped
Go Depression head = Depression head/exp(Specific Capacity*Time)
Depression Head in Well at Time T after Pumping Stopped with Base 10
Go Depression head = Depression head/10^((Specific Capacity*Time)/2.303)
Depression Head in Well at Time T after Pumping Stopped with Base 10 and Fine Sand is Present
Go Depression head = (Depression head/10^(((0.5)*(Time/3600)/2.303)))
Depression Head in Well at Time T after Pumping Stopped and Coarse Sand is Present
Go Depression head = (Depression head/10^((1/2.303)*(Time/3600)))
Depression Head in Well at Time T after Pumping Stopped with Base 10 and Clay soil is Present
Go Depression head = Depression head/10^((0.25*Time/3600)/2.303)
Depression Head in Well at Time T after Pumping Stopped and Fine Sand is Present
Go Depression head = Depression head/10^((0.5/2.303)*Time/3600)
Depression Head in Well at Time T after Pumping Stopped with Base 10 in Coarse Sand
Go Depression head = Depression head/10^((1*Time/3600)/2.303)
Depression Head in Well at Time T after Pumping Stopped and Clay Soil is Present
Go Depression head = Depression head/10^((0.25*Time/3600))

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

Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area))
h2 = h1/(exp((K*t)/Acs))

What is specific capacity ?

Specific capacity is a quantity that which a water well can produce per unit of drawdown. It is normally obtained from a step drawdown test.

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

Depression Head in Well at Time T given Pumping Stopped and Constant calculator uses Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area)) to calculate the Depression head, The Depression Head in Well at Time T given Pumping Stopped and Constant calculates the value of depression head in the well when we have prior information of other parameters used. Depression head is denoted by h2 symbol.

How to calculate Depression Head in Well at Time T given Pumping Stopped and Constant using this online calculator? To use this online calculator for Depression Head in Well at Time T given Pumping Stopped and Constant, enter Depression head (h1), Constant (K), Time (t) & Cross-Sectional Area (Acs) and hit the calculate button. Here is how the Depression Head in Well at Time T given Pumping Stopped and Constant calculation can be explained with given input values -> 0.644134 = 3/(exp((0.00138888888888889*14400)/13)).

FAQ

What is Depression Head in Well at Time T given Pumping Stopped and Constant?
The Depression Head in Well at Time T given Pumping Stopped and Constant calculates the value of depression head in the well when we have prior information of other parameters used and is represented as h2 = h1/(exp((K*t)/Acs)) or Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area)). Depression head in the well when pumping stopped, Constant depending on the soil at the base of the well, Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future & 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.
How to calculate Depression Head in Well at Time T given Pumping Stopped and Constant?
The Depression Head in Well at Time T given Pumping Stopped and Constant calculates the value of depression head in the well when we have prior information of other parameters used is calculated using Depression head = Depression head/(exp((Constant*Time)/Cross-Sectional Area)). To calculate Depression Head in Well at Time T given Pumping Stopped and Constant, you need Depression head (h1), Constant (K), Time (t) & Cross-Sectional Area (Acs). With our tool, you need to enter the respective value for Depression head, Constant, Time & Cross-Sectional Area 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?
In this formula, Depression head uses Depression head, Constant, Time & Cross-Sectional Area. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Depression head = Depression head/exp(Specific Capacity*Time)
  • Depression head = Depression head/10^((Specific Capacity*Time)/2.303)
  • Depression head = Depression head/10^((0.25*Time/3600))
  • Depression head = Depression head/10^((0.25*Time/3600)/2.303)
  • Depression head = Depression head/10^((0.5/2.303)*Time/3600)
  • Depression head = (Depression head/10^(((0.5)*(Time/3600)/2.303)))
  • Depression head = (Depression head/10^((1/2.303)*(Time/3600)))
  • Depression head = Depression head/10^((1*Time/3600)/2.303)
  • Depression head = Depression head/(10^((Constant*Time)/(Cross-Sectional Area*2.303)))
  • Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303)))
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