Depression Head in Well given Pumping Stopped with Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303))
hd = hw2*10^((Q*Δt)/(Acs*H'*2.303))
This formula uses 6 Variables
Variables Used
Depression Head - (Measured in Meter) - Depression Head is the difference of level of waters table and the water level in the well when pumping stopped.
Depression Head in Well 2 - (Measured in Meter) - Depression Head in Well 2 is depression head in the well at a time T after the pumping stopped.
Discharge in Well - (Measured in Cubic Meter per Second) - Discharge in Well is the rate of flow of a liquid in well.
Time Interval - (Measured in Second) - 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 is the constant value of head in the well.
STEP 1: Convert Input(s) to Base Unit
Depression Head in Well 2: 10 Meter --> 10 Meter No Conversion Required
Discharge in Well: 0.99 Cubic Meter per Second --> 0.99 Cubic Meter per Second No Conversion Required
Time Interval: 1.01 Second --> 1.01 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
hd = hw2*10^((Q*Δt)/(Acs*H'*2.303)) --> 10*10^((0.99*1.01)/(20*0.038*2.303))
Evaluating ... ...
hd = 37.2631893865673
STEP 3: Convert Result to Output's Unit
37.2631893865673 Meter --> No Conversion Required
FINAL ANSWER
37.2631893865673 37.26319 Meter <-- Depression Head
(Calculation completed in 00.020 seconds)

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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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Depression Head in Well given Pumping Stopped with Discharge Formula

​LaTeX ​Go
Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303))
hd = hw2*10^((Q*Δt)/(Acs*H'*2.303))

What is Discharge?

Discharge in the context of wells, rivers, or any hydraulic system refers to the volume of water flowing out of a particular source over a given period of time. It’s often used to describe the amount of water being produced or released from a well, river, or drainage system. Discharge is a critical factor in evaluating the capacity of a well or river to provide water. For example, higher discharge rates in a well indicate higher water yield, which is important for assessing its productivity and sustainability.

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 = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303)) to calculate the Depression Head, The Depression Head in Well given Pumping Stopped with Discharge formula is defined as the calculation of the value of depression head in well when pumping stopped and we have prior information of other parameters used. Depression Head is denoted by hd 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 in Well 2 (hw2), Discharge in Well (Q), Time Interval t), Cross Sectional Area (Acs) & 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 -> 37.26319 = 10*10^((0.99*1.01)/(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 formula is defined as the calculation of the value of depression head in well when pumping stopped and we have prior information of other parameters used and is represented as hd = hw2*10^((Q*Δt)/(Acs*H'*2.303)) or Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303)). Depression Head in Well 2 is depression head in the well at a time T after the pumping stopped, Discharge in Well is the rate of flow of a liquid in well, 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 is the constant value of 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 formula is defined as the calculation of the value of depression head in well when pumping stopped and we have prior information of other parameters used is calculated using Depression Head = Depression Head in Well 2*10^((Discharge in Well*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 in Well 2 (hw2), Discharge in Well (Q), Time Interval t), Cross Sectional Area (Acs) & Constant Depression Head (H'). With our tool, you need to enter the respective value for Depression Head in Well 2, Discharge in Well, 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?
In this formula, Depression Head uses Depression Head in Well 2, Discharge in Well, Time Interval, Cross Sectional Area & Constant Depression Head. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Depression Head = Depression Head in Well 2*exp(0.25*Total Time Interval)
  • Depression Head = Depression Head in Well 2*10^((0.25*Total Time Interval)/2.303)
  • Depression Head = Depression Head in Well 2*exp(0.5*Time Interval)
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