How to Calculate and Solve for Bouguer Correction | Gravity

August 24, 2020April 15, 2024 Loveth Idoko

Last Updated on April 15, 2024

The image above represents bourger correction. To calculate bourger correction, three essential parameter are needed and these parameters are Gravitational Constant (G), Density of the Material (ρ) and Height at Measured Point above Sea Level (h).

The formula for calculating bourger correction:

δg_B = 2πGρh

Where:

δg_B = Bouguer Correction
G = Gravitational Constant
ρ = Density of the Material
h = Height at Measured Point above Sea Level

Let’s solve an example;
Find the bourger correction when the gravitational constant is 6.67E-11, the density of the material is 24 and the height at measured point above sea level is 18.

This implies that;

G = Gravitational Constant = 6.67E-11
ρ = Density of the Material = 24
h = Height at Measured Point above Sea Level = 18

δg_B = 2πGρh
δg_B = 2π(6.67e-11)(24)(18)
That is, δg_B = 2π(2.88144e-8)
δg_B = 1.81e-7

Therefore, the bourger correction is 1.81e-7 mGal.

Calculating the Density of the Material when the Bourger Correction, the Gravitational Constant and the Heigth at Measured Point above Sea Level are Given

ρ = ^δg_B / _2πGh

Where;

ρ = Density of the Material
δg_B = Bouguer Correction
G = Gravitational Constant
h = Height at Measured Point above Sea Level

Let’s solve an example;
Find the density of the material when the bourger correction is 22, the gravitational constant is 6.67E-11 and the height at measured point above sea level is 15.

This implies that;

δg_B = Bouguer Correction = 22
G = Gravitational Constant = 6.67E-11
h = Height at Measured Point above Sea Level = 15

ρ = ^δg_B / _2πGh
ρ = ²² / _{2π (6.67e-11)(10)}
Then, ρ = ²² / _{2π x 6.67e+11}
ρ = ²² / _{4188760000000}
ρ = 5.25e-12

Therefore, the density of the material is 5.25e-12.

Calculating the Height at Measured Point above Sea Level when the Bourger Correction, the Gravitational Constant and the Density of the Material are Given

h = ^δg_B / _2πGρ

Where;

h = Height at Measured Point above Sea Level
δg_B = Bouguer Correction
G = Gravitational Constant
ρ = Density of the Material

Let’s solve an example;
Find the height at measured point above sea level when the bourger correction is 32, the gravitational constant is 6.67E-11 and the density of the material is 10.

This implies that;

δg_B = Bouguer Correction = 32
G = Gravitational Constant = 6.67E-11
ρ = Density of the Material = 10

h = ^δg_B / _2πGρ
So, h = ³² / _{2π (6.67e-11)(10)}
h = ³² / _{4188760000000}
h = 7.639e-12

Therefore, the height at measured point above sea level is 7.639e-12.

How to Calculate Bouguer Correction Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the bourger correction.

To get the answer and workings of the bourger correction 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 Gravity under Geology

Now, Click on Bourger Correction under Gravity

The screenshot below displays the page or activity to enter your values, to get the answer for the bourger correction according to the respective parameters which are the Gravitational Constant (G), Density of the Material (ρ) and Height at Measured Point above Sea Level (h).

Now, enter the values appropriately and accordingly for the parameters as required by the Gravitational Constant (G) is 6.67e-11, Density of the Material (ρ) is 24 and Height at Measured Point above Sea Level (h) is 18.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the bourger correction and presents the formula, workings and steps too.