Geology

How to Calculate and Solve for Volume of Water Drained From an aquifer | Aquifer Characteristics

Last Updated on August 18, 2020

The image above represents volume of water drained from an aquifer.

To compute for volume of water drained from an aquifer, three essential parameters are needed and these parameters are Storativity (S), Surface Area (A) and the Average Decline in Head (Δh).

The formula for calculating volume of water drained from an aquifer:

Vw = SAΔh

Where:

Vw = Volume of Water Drained from an Aquifer
S = Storativity
A = Surface Area
Δh = Average Decline in Head

Let’s solve an example;
Find the volume of water drained from an aquifer when the storativity is 24, the surface area is 38, the average decline in head is 40.

This implies that;

S = Storativity = 24
A = Surface Area = 38
Δh = Average Decline in Head = 40

Vw = SAΔh
Vw = 24(38)(40)
Vw = 36480

Therefore, the volume of water drained from an aquifer is 36480 ft³.

Calculating the Storativity when the Volume of Water Drained From an Aquifer, the Surface Area and the Average Decline in Head is Given.

S  = Vw / AΔh

Where;

S = Storativity
Vw = Volume of Water Drained from an Aquifer
A = Surface Area
Δh = Average Decline in Head

Let’s solve an example;
Find the storativity when the volume of water drained from an aquifer is 60, the surface area is 18 and the average decline in head is 4.

This implies that;

Vw = Volume of Water Drained from an Aquifer = 60
A = Surface Area = 18
Δh = Average Decline in Head = 4

S  = Vw / AΔh
S  = 60 / (18)(4)
S  = 60 / 72
S = 0.83

Therefore, the storativity is 0.83 ft.

Calculating the Surface Area when the Volume of Water drained from an Aquifer, the Storativity and the Average Decline in Head is Given.

A  = Vw / SΔh

Where;

A = Surface Area
Vw = Volume of Water Drained from an Aquifer
S = Storativity
Δh = Average Decline in Head

Let’s solve an example;
Find the surface area when the volume of water drained from an aquifer is 30, the storativity is 4 and the average decline in head is 5.

This implies that;

Vw = Volume of Water Drained from an Aquifer = 30
S = Storativity = 4
Δh = Average Decline in Head = 5

A  = Vw / SΔh
A  = 30 / (4)(5)
A  = 30 / 20
A = 1.5

Therefore, the surface area is 1.5 ft.

Calculating the Average Decline in Head when the Volume of Water Drained From an Aquifer, the Storativity and the Surface Area is Given.

Δh  = Vw / SA

Where;

Δh = Average Decline in Head
Vw = Volume of Water Drained from an Aquifer
S = Storativity
A = Surface Area

Let’s solve an example;
Find the average decline in head when the volume of water drained from an aquifer is 20, the storativity is 2 and the surface area is 2.

This implies that;

Vw = Volume of Water Drained from an Aquifer = 20
S = Storativity = 2
A = Surface Area = 2

Δh  = Vw / SA
Δh  = 20 / (2)(2)
Δh  = 20 / 4
Δh  = 5

Therefore, the average decline in head is 5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of water drained from an aquifer.

To get the answer and workings of the volume of water drained from an aquifer using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Geology under Add-on.

Now, Click on Aquifer Characteristics under Geology

Now, Click on Volume of Water Drained From an Aquifer under Aquifer Characteristics

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of water drained from an aquifer according to the respective parameters which are the Storativity (S), Surface Area (A) and the Average Decline in Head (Δh).

Now, enter the values appropriately and accordingly for the parameters as required by the Storativity (S) is 24, Surface Area (A) is 38 and the Average Decline in Head (Δh) is 40.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the volume of water drained from an aquifer and presents the formula, workings and steps too.

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