Discharge in Well given Constant Depression Head and Area of Well Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time
Q = (2.303*Acsw*H'*log((hd/hw2),10))/t
This formula uses 1 Functions, 6 Variables
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Discharge in Well - (Measured in Cubic Meter per Second) - Discharge in Well is the rate of flow of a liquid in well.
Cross-Sectional Area of Well - (Measured in Square Meter) - Cross-Sectional Area of Well is the the surface area of the interior opening of the well.
Constant Depression Head - Constant Depression Head is the constant value of head in the well.
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.
Time - (Measured in Second) - Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area of Well: 13 Square Meter --> 13 Square Meter No Conversion Required
Constant Depression Head: 0.038 --> No Conversion Required
Depression Head: 27 Meter --> 27 Meter No Conversion Required
Depression Head in Well 2: 10 Meter --> 10 Meter No Conversion Required
Time: 4 Hour --> 14400 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2.303*Acsw*H'*log((hd/hw2),10))/t --> (2.303*13*0.038*log((27/10),10))/14400
Evaluating ... ...
Q = 0.000183153294293225
STEP 3: Convert Result to Output's Unit
0.000183153294293225 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.000183153294293225 0.000183 Cubic Meter per Second <-- Discharge in Well
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Discharge in Well Calculators

Discharge in Well given Constant Depression Head and Area of Well
​ LaTeX ​ Go Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time
Discharge in Well under Constant Depression Head
​ LaTeX ​ Go Discharge in Well = Constant*Constant Depression Head

Discharge in Well given Constant Depression Head and Area of Well Formula

​LaTeX ​Go
Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time
Q = (2.303*Acsw*H'*log((hd/hw2),10))/t

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 Discharge in Well given Constant Depression Head and Area of Well?

Discharge in Well given Constant Depression Head and Area of Well calculator uses Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time to calculate the Discharge in Well, The Discharge in Well given Constant Depression Head and Area of Well formula is defined as the calculation of the value of discharge from well when we have prior information of other parameters used. Discharge in Well is denoted by Q symbol.

How to calculate Discharge in Well given Constant Depression Head and Area of Well using this online calculator? To use this online calculator for Discharge in Well given Constant Depression Head and Area of Well, enter Cross-Sectional Area of Well (Acsw), Constant Depression Head (H'), Depression Head (hd), Depression Head in Well 2 (hw2) & Time (t) and hit the calculate button. Here is how the Discharge in Well given Constant Depression Head and Area of Well calculation can be explained with given input values -> 0.000183 = (2.303*13*0.038*log((27/10),10))/14400.

FAQ

What is Discharge in Well given Constant Depression Head and Area of Well?
The Discharge in Well given Constant Depression Head and Area of Well formula is defined as the calculation of the value of discharge from well when we have prior information of other parameters used and is represented as Q = (2.303*Acsw*H'*log((hd/hw2),10))/t or Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time. Cross-Sectional Area of Well is the the surface area of the interior opening of the well, Constant Depression Head is the constant value of head in the well, 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 is depression head in the well at a time T after the pumping stopped & Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
How to calculate Discharge in Well given Constant Depression Head and Area of Well?
The Discharge in Well given Constant Depression Head and Area of Well formula is defined as the calculation of the value of discharge from well when we have prior information of other parameters used is calculated using Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time. To calculate Discharge in Well given Constant Depression Head and Area of Well, you need Cross-Sectional Area of Well (Acsw), Constant Depression Head (H'), Depression Head (hd), Depression Head in Well 2 (hw2) & Time (t). With our tool, you need to enter the respective value for Cross-Sectional Area of Well, Constant Depression Head, Depression Head, Depression Head in Well 2 & Time 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 Discharge in Well?
In this formula, Discharge in Well uses Cross-Sectional Area of Well, Constant Depression Head, Depression Head, Depression Head in Well 2 & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Discharge in Well = Constant*Constant Depression Head
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!