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Constant Depression Head given Discharge and Time in Hours Calculator

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Discharge in Well

✖Discharge in Well is the rate of flow of a liquid in well.ⓘ Discharge in Well [Q]			+10% -10%
✖Cross-Sectional Area of Well is the the surface area of the interior opening of the well.ⓘ Cross-Sectional Area of Well [A_csw]			+10% -10%
✖Depression Head is the difference of level of waters table and the water level in the well when pumping stopped.ⓘ Depression Head [h_d]			+10% -10%
✖Depression Head in Well 2 is depression head in the well at a time T after the pumping stopped.ⓘ Depression Head in Well 2 [h_w2]			+10% -10%
✖Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time [t]			+10% -10%

✖Constant Depression Head is the constant value of head in the well.ⓘ Constant Depression Head given Discharge and Time in Hours [H']

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Constant Depression Head given Discharge and Time in Hours Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time)
H' = Q/((2.303*A_csw*log((h_d/h_w2),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

Constant Depression Head - Constant Depression Head is the constant value of head in the well.
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.
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 Hour) - 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

Discharge in Well: 0.99 Cubic Meter per Second --> 0.99 Cubic Meter per Second No Conversion Required
Cross-Sectional Area of Well: 13 Square Meter --> 13 Square Meter 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 --> 4 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H' = Q/((2.303*A_csw*log((h_d/h_w2),10))/t) --> 0.99/((2.303*13*log((27/10),10))/4)

Evaluating ... ...

H' = 0.0570560307982761

STEP 3: Convert Result to Output's Unit

0.0570560307982761 --> No Conversion Required

FINAL ANSWER

0.0570560307982761 ≈ 0.057056 <-- Constant Depression Head

(Calculation completed in 00.038 seconds)

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< Constant Depending upon Base Soil Calculators

Constant Depending upon Soil at Base of Well with Base 10

LaTeX Go Constant = ((Cross-Sectional Area given Specific Capacity*2.303)/Time)*log((Depression Head/Depression Head in Well 2),10)

Constant Depending upon Soil at Base of Well

LaTeX Go Constant = (Cross Sectional Area/Time)*log((Depression Head/Depression Head in Well 2),e)

Constant Depending upon Soil at Base of Well given Specific Capacity

LaTeX Go Constant = Cross-Sectional Area given Specific Capacity*Specific Capacity in SI unit

Constant Depending upon Soil at Base of Well given Clay Soil

LaTeX Go Constant = 0.25*Cross Sectional Area

Constant Depression Head given Discharge and Time in Hours Formula

LaTeX Go

Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time)
H' = Q/((2.303*A_csw*log((h_d/h_w2),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 Constant Depression Head given Discharge and Time in Hours?

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

How to calculate Constant Depression Head given Discharge and Time in Hours using this online calculator? To use this online calculator for Constant Depression Head given Discharge and Time in Hours, enter Discharge in Well (Q), Cross-Sectional Area of Well (A_csw), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t) and hit the calculate button. Here is how the Constant Depression Head given Discharge and Time in Hours calculation can be explained with given input values -> 0.058209 = 0.99/((2.303*13*log((27/10),10))/14400).

FAQ

What is Constant Depression Head given Discharge and Time in Hours?

The Constant Depression Head given Discharge and Time in Hours formula is defined as the calculation of the value of constant depression head when we have prior information of other parameters used and is represented as H' = Q/((2.303*A_csw*log((h_d/h_w2),10))/t) or Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time). Discharge in Well is the rate of flow of a liquid in well, Cross-Sectional Area of Well is the the surface area of the interior opening of 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 Constant Depression Head given Discharge and Time in Hours?

The Constant Depression Head given Discharge and Time in Hours formula is defined as the calculation of the value of constant depression head when we have prior information of other parameters used is calculated using Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time). To calculate Constant Depression Head given Discharge and Time in Hours, you need Discharge in Well (Q), Cross-Sectional Area of Well (A_csw), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t). With our tool, you need to enter the respective value for Discharge in Well, Cross-Sectional Area of Well, 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 Constant Depression Head?

In this formula, Constant Depression Head uses Discharge in Well, Cross-Sectional Area of Well, Depression Head, Depression Head in Well 2 & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Constant Depression Head = Discharge in Well/Constant

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