How to Calculate and Solve for Overall Irrigation Efficiency | Irrigation Water Requirement

October 1, 2020April 20, 2024 Loveth Idoko

Last Updated on April 20, 2024

The image above represents overall irrigation efficiency. To calculate overall irrigation efficiency, three essential parameters are needed and these parameters are Reservoir Efficiency (%) (E_v), Application Efficiency (%) (E_c) and Application Efficiency (%) (E_a).

The formula for calculating overall irrigation efficiency:

E = ^{E_v . E_c . E_a} / _10⁴

Where:

E = Overall Irrigation Efficiency
E_v = Reservoir Efficiency (%)
And then, E_c = Application Efficiency (%)
E_a = Application Efficiency (%)

Let’s solve an example;
Find the overall irrigation efficiency when the reservoir efficiency is 20, the application efficiency is 10 and the application efficiency is 5.

This implies that;

E_v = Reservoir Efficiency (%) = 20
E_c = Application Efficiency (%) = 10
And then, E_a = Application Efficiency (%) = 5

E = ^{E_v . E_c . E_a} / _10⁴
E = ^(20)(10)(5) / _10⁴
So, E = ¹⁰⁰⁰ / ₁₀₀₀₀
E = 0.1

Therefore, the overall irrigation efficiency is 0.1%.

Calculating the Reservoir Efficiency when the Overall Irrigation Efficiency, the Application Efficiency and the Application Efficiency are Given

E_v = ^{E x 10⁴} / _{E_c x E_a}

Where;

E_v = Reservoir Efficiency (%)
E = Overall Irrigation Efficiency
And then, E_c = Application Efficiency (%)
E_a = Application Efficiency (%)

Let’s solve an example;
Find the reservoir efficiency when the overall irrigation efficiency is 20, the application efficiency is 10 and the application efficiency is 2.

This implies that;

E = Overall Irrigation Efficiency = 20
E_c = Application Efficiency (%) = 10
Then, E_a = Application Efficiency (%) = 2

E_v = ^{E x 10⁴} / _{E_c x E_a}
E_v = ^{20 x 10⁴} / _{10 x 2}
So, E_v = ²⁰⁰⁰⁰⁰ / ₂₀
E_v = 10000

Therefore, the reservoir efficiency is 10000.

Calculating the Application Efficiency when the Overall Irrigation Efficiency, the Reservoir Efficiency and the Application Efficiency are Given

E_c = ^{E x 10⁴} / _{E_v x E_a}

Where;

E_c = Application Efficiency (%)
E = Overall Irrigation Efficiency
Then, E_v = Reservoir Efficiency (%)
E_a = Application Efficiency (%)

Let’s solve an example;
Find the application efficiency when the overall irrigation efficiency is 8, the reservoir efficiency is 4 and the application efficiency is 12.

This implies that;

E = Overall Irrigation Efficiency = 8
E_v = Reservoir Efficiency (%) = 4
And, E_a = Application Efficiency (%) = 12

E_c = ^{E x 10⁴} / _{E_v x E_a}
E_c = ^{8 x 10⁴} / _{4 x 12}
So, E_c = ⁸⁰⁰⁰⁰ / ₄₈
E_c = 1666.6

Therefore, the application efficiency is 1666.6%.

Calculating the Application Efficiency when the Overall Irrigation Efficiency, the Reservoir Efficiency and the Application Efficiency are Given

E_a = ^{E x 10⁴} / _{E_v x E_c}

Where;

E_a = Application Efficiency (%)
E = Overall Irrigation Efficiency
And, E_v = Reservoir Efficiency (%)
E_c = Application Efficiency (%)

Let’s solve an example;
Find the application efficiency when the overall irrigation efficiency is 14, the reservoir efficiency is 3 and the application efficiency is 7.

This implies that;

E = Overall Irrigation Efficiency = 14
E_v = Reservoir Efficiency (%) = 3
So, E_c = Application Efficiency (%) = 7

E_a = ^{E x 10⁴} / _{E_v x E_c}
E_a = ^{14 x 10⁴} / _{3 x 7}
Hence, E_a = ¹⁴⁰⁰⁰⁰ / ₂₁
E_a = 6666.6

Therefore, the application efficiency is 6666.6%.

How to Calculate Overall Irrigation Efficiency Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the overall irrigation efficiency.

To get the answer and workings of the overall irrigation efficiency 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 Agricultural under Engineering.

Now, Click on Irrigation Water Requirement under Agricultural

Now, Click on Overall Irrigation Efficiency under Irrigation Water Requirement

The screenshot below displays the page or activity to enter your values, to get the answer for the overall irrigation efficiency according to the respective parameters which is the Reservoir Efficiency (%) (E_v), Application Efficiency (%) (E_c) and Application Efficiency (%) (E_a).

Now, enter the values appropriately and accordingly for the parameters as required by the Reservoir Efficiency (%) (E_v) is 20, Application Efficiency (%) (E_c) is 10 and Application Efficiency (%) (E_a) is 5.

Finally, Click on Calculate

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