Cross-sectional Area of well given Discharge and Constant Depression Head Calculator

✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Constant depression head in the well.ⓘ Constant Depression Head [H]			+10% -10%
✖Depression head 1 in the well when pumping stopped.ⓘ Depression head 1 [h₁]			+10% -10%
✖Depression head in the well at a time T after the pumping stopped.ⓘ Depression head [h₂]			+10% -10%
✖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.ⓘ Time [t]			+10% -10%

✖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.ⓘ Cross-sectional Area of well given Discharge and Constant Depression Head [A_cs]

⎘ Copy

👎

Formula

✖

Cross-sectional Area of well given Discharge and Constant Depression Head

Formula

`"A"_{"cs"} = "Q"/((2.303*"H"*log(("h"_{"1"}/"h"_{"2"}),10))/"t")`

Example

`"50028.34m²"="1.01m³/s"/((2.303*"0.038"*log(("20m"/"10m"),10))/"4h")`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Cross-sectional Area of well given Discharge and Constant Depression Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time)
A_cs = Q/((2.303*H*log((h₁/h₂),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

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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Constant Depression Head - Constant depression head in the well.
Depression head 1 - (Measured in Meter) - Depression head 1 in the well when pumping stopped.
Depression head - (Measured in Meter) - Depression head in the well at a time T after the pumping stopped.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Constant Depression Head: 0.038 --> No Conversion Required
Depression head 1: 20 Meter --> 20 Meter No Conversion Required
Depression head: 10 Meter --> 10 Meter No Conversion Required
Time: 4 Hour --> 14400 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = Q/((2.303*H*log((h₁/h₂),10))/t) --> 1.01/((2.303*0.038*log((20/10),10))/14400)

Evaluating ... ...

A_cs = 50028.3412589636

STEP 3: Convert Result to Output's Unit

50028.3412589636 Square Meter --> No Conversion Required

FINAL ANSWER

50028.3412589636 ≈ 50028.34 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Yield of an Open Well » Recuperation Test » Cross-sectional Area of Well » Cross-sectional Area of well given Discharge and Constant Depression Head

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!

< 6 Cross-sectional Area of Well Calculators

Cross-sectional Area of well given Discharge and Constant Depression Head

Go Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time)

Cross-sectional Area of Well given Constant Depending upon Soil at Base

Go Cross-Sectional Area = Constant/((1/Time)*log((Depression head 1/Depression head),e))

Cross-sectional Area of Well given Constant Depending upon Soil at Base with Base 10

Go Cross-Sectional Area = Constant/((2.303/Time)*log((Depression head 1/Depression head),10))

Cross-sectional Area of Well given Discharge from Well

Go Cross-Sectional Area = Discharge/(Specific Capacity*Constant Depression Head)

Cross-sectional Area of Well given Clay Soil

Go Cross-Sectional Area = Constant/0.25

Cross-sectional Area of Well given Fine Sand

Go Cross-Sectional Area = Constant/0.5

Cross-sectional Area of well given Discharge and Constant Depression Head Formula

Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time)
A_cs = Q/((2.303*H*log((h₁/h₂),10))/t)

What is cross-sectional area ?

The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point.

How to Calculate Cross-sectional Area of well given Discharge and Constant Depression Head?

Cross-sectional Area of well given Discharge and Constant Depression Head calculator uses Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time) to calculate the Cross-Sectional Area, Cross-sectional Area of well given Discharge and Constant Depression Head calculates value of cross-sectional area of well when we have prior information of other parameters used. Cross-Sectional Area is denoted by A_cs symbol.

How to calculate Cross-sectional Area of well given Discharge and Constant Depression Head using this online calculator? To use this online calculator for Cross-sectional Area of well given Discharge and Constant Depression Head, enter Discharge (Q), Constant Depression Head (H), Depression head 1 (h₁), Depression head (h₂) & Time (t) and hit the calculate button. Here is how the Cross-sectional Area of well given Discharge and Constant Depression Head calculation can be explained with given input values -> 49533.01 = discharge/((2.303*0.038*log((20/10),10))/14400).

FAQ

What is Cross-sectional Area of well given Discharge and Constant Depression Head?

Cross-sectional Area of well given Discharge and Constant Depression Head calculates value of cross-sectional area of well when we have prior information of other parameters used and is represented as A_cs = Q/((2.303*H*log((h₁/h₂),10))/t) or Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time). Discharge is the rate of flow of a liquid, Constant depression head in the well, Depression head 1 in the well when pumping stopped, Depression head in the well at a time T after the pumping stopped & 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.

How to calculate Cross-sectional Area of well given Discharge and Constant Depression Head?

Cross-sectional Area of well given Discharge and Constant Depression Head calculates value of cross-sectional area of well when we have prior information of other parameters used is calculated using Cross-Sectional Area = Discharge/((2.303*Constant Depression Head*log((Depression head 1/Depression head),10))/Time). To calculate Cross-sectional Area of well given Discharge and Constant Depression Head, you need Discharge (Q), Constant Depression Head (H), Depression head 1 (h₁), Depression head (h₂) & Time (t). With our tool, you need to enter the respective value for Discharge, Constant Depression Head, Depression head 1, Depression head & 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 Cross-Sectional Area?

In this formula, Cross-Sectional Area uses Discharge, Constant Depression Head, Depression head 1, Depression head & Time. We can use 5 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area = Constant/((1/Time)*log((Depression head 1/Depression head),e))
Cross-Sectional Area = Constant/((2.303/Time)*log((Depression head 1/Depression head),10))
Cross-Sectional Area = Constant/0.25
Cross-Sectional Area = Constant/0.5
Cross-Sectional Area = Discharge/(Specific Capacity*Constant Depression Head)

Home

FREE PDFs

🔍 Search