Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303)))
h2 = h1/(10^((Q*t/3600)/(Acs*H*2.303)))
This formula uses 6 Variables
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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
Constant Depression Head - Constant depression head in the well.
STEP 1: Convert Input(s) to Base Unit
Depression head: 3 Meter --> 3 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Time: 4 Hour --> 14400 Second (Check conversion here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Constant Depression Head: 0.038 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h2 = h1/(10^((Q*t/3600)/(Acs*H*2.303))) --> 3/(10^((1.01*14400/3600)/(13*0.038*2.303)))
Evaluating ... ...
h2 = 0.0008434145247744
STEP 3: Convert Result to Output's Unit
0.0008434145247744 Meter --> No Conversion Required
FINAL ANSWER
0.0008434145247744 0.000843 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 after Pumping Stopped with known Discharge and Time Formula

Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303)))
h2 = h1/(10^((Q*t/3600)/(Acs*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 at Time T after Pumping Stopped with known Discharge and Time?

Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time calculator uses Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303))) to calculate the Depression head, Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time calculates value of depression head 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 after Pumping Stopped with known Discharge and Time using this online calculator? To use this online calculator for Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time, enter Depression head (h1), Discharge (Q), Time (t), Cross-Sectional Area (Acs) & Constant Depression Head (H) and hit the calculate button. Here is how the Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time calculation can be explained with given input values -> 0.000915 = 3/(10^((discharge*14400/3600)/(13*0.038*2.303))).

FAQ

What is Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time?
Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time calculates value of depression head when we have prior information of other parameters used and is represented as h2 = h1/(10^((Q*t/3600)/(Acs*H*2.303))) or Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303))). Depression head in the well when pumping stopped, Discharge is the rate of flow of a liquid, 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 & Constant depression head in the well.
How to calculate Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time?
Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time calculates value of depression head when we have prior information of other parameters used is calculated using Depression head = Depression head/(10^((Discharge*Time/3600)/(Cross-Sectional Area*Constant Depression Head*2.303))). To calculate Depression Head in Well at Time T after Pumping Stopped with known Discharge and Time, you need Depression head (h1), Discharge (Q), Time (t), Cross-Sectional Area (Acs) & Constant Depression Head (H). With our tool, you need to enter the respective value for Depression head, Discharge, Time, 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?
In this formula, Depression head uses Depression head, Discharge, Time, Cross-Sectional Area & Constant Depression Head. 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/(exp((Constant*Time)/Cross-Sectional Area))
  • Depression head = Depression head/(10^((Constant*Time)/(Cross-Sectional Area*2.303)))
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