How to Calculate and Solve for Actual Mass of Geological Body | Gravity

The image above represents actual mass of geological body. To calculate actual mass of geological body three essential parameters are needed and these parameters are Total Anomalous Mass (M_E), Anomalous Density of the Body (ρ₁) and Host Rock Density (ρ₀).

The formula for calculating actual mass of geological body:

M = M_E (^ρ₁ / _{ρ1 – ρ0})

Where:

M = Actual Mass of Geological Body
M_E = Total Anomalous Mass
ρ₁ = Anomalous Density of the Body
ρ₀ = Host Rock Density

Let’s solve an example;
Find the actual mass of geological body when the total anomalous mass is 12, anomalous density of the body is 21 and the host rock density is 13.

This implies that;

M_E = Total Anomalous Mass = 12
ρ₁ = Anomalous Density of the Body = 21
ρ₀ = Host Rock Density = 13

M = M_E (^ρ₁ / _{ρ1 – ρ0})
M = 12 (²¹ / _{21 – 13})
That is, M = 12 (²¹ / ₈)
M = 12 (2.625)
M = 31.5

Therefore, the actual mass of geological body is 31.5 kg.

Calculating the Total Anomalous Mass when the Actual Mass of Geological Body, the Anomalous Density of the Body and the Host rock Density are Given

M_E = ^M / _{(^ρ1 / ρ1 – ρ0)}

Where;

M_E = Total Anomalous Mass
M = Actual Mass of Geological Body
ρ₁ = Anomalous Density of the Body
ρ₀ = Host Rock Density

Let’s solve an example;
Find the total anomalous mass when the actual mass of geological body is 45, the anomalous density of the body is 12 and the host rock density is 10.

This implies that;

M = Actual Mass of Geological Body = 45
ρ₁ = Anomalous Density of the Body = 12
ρ₀ = Host Rock Density = 10

M_E = ^M / _{(^ρ1 / ρ1 – ρ0)}
M_E = ⁴⁵ / _{(¹² / 12 – 10)}
So, M_E = ⁴⁵ / _(¹² / 2)
M_E = ⁴⁵ / ₆
M_E = 7.5

Therefore, the actual mass of geological body is 7.5 kg.

Read more: How to Calculate and Solve for Total Mass Determination | Gravity

How to Calculate Actual Mass of Geological Body Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the actual mass of geological body.

To get the answer and workings of the actual mass of geological body 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 Actual Mass of Geological Body under Gravity

The screenshot below displays the page or activity to enter your values, to get the answer for the actual mass of geological body according to the respective parameters which are the Total Anomalous Mass (M_E), Anomalous Density of the Body (ρ₁) and Host Rock Density (ρ₀).

Now, enter the values appropriately and accordingly for the parameters as required by the Total Anomalous Mass (M_E) is 12, Anomalous Density of the Body (ρ₁) is 21 and Host Rock Density (ρ₀) is 13.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the actual mass of geological body and presents the formula, workings and steps too.