The image above represents dimensionless time.

To compute for the dimensionless time, six essential parameters are needed and these parameters are **permeability (k), porosity (φ), viscosity (μ), well radius (r**_{w}), minimum transient time (t) and total compressibility (C_{T}).

The formula for calculating dimensionless time:

t_{D} = ^{0.000263kt } / _{φμCTrw²}

Where;

t_{D} = Dimensionless Time

k = Permeability

φ = Porosity

μ = Viscosity

r_{w} = Well Radius

t = Minimum Transient Time

C_{T} = Total Compressibility

Let’s solve an example

Find the dimensionless time when the permeability is 13, porosity is 11.5, viscosity is 10.5, well radius is 24, minimum transient time is 17 with a total compressibility of 28.

This implies that;

k = Permeability = 13

φ = Porosity = 11.5

μ = Viscosity = 10.5

r_{w} = Well Radius = 24

t = Minimum Transient Time = 17

C_{T} = Total Compressibility = 28

t_{D} = ^{0.000263kt } / _{φμCTrw²}

tD = ^{0.000263 x 13 x 17}/ _{11.5 x 10.5 x 28 x 24²}

tD = ^{0.000263 x 13 x 17}/ _{11.5 x 10.5 x 28 x 576}

tD = ^{0.000263 x 13 x 17}/ _{1947456}

tD = ^{0.058123}/ _{1947456}

tD = 2.9845e-8

Therefore, the **dimensionless time **is **2.98**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the dimensionless time.

To get the answer and workings of the dimensionless time 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 1,500 **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 **Petroleum **under **Engineering**

Now, Click on **Well Testing**** **under **Petroleum**

Now, Click on **Dimensionless**** Time**** **under **Well Testing**

The screenshot below displays the page or activity to enter your value, to get the answer for the dimensionless time according to the respective parameter which are the **permeability (k), porosity (φ), viscosity (μ), well radius (r**_{w}), minimum transient time (t) and total compressibility (C_{T}).

Now, enter the value appropriately and accordingly for the parameter as required by the **permeability (k)** is **13**,** porosity (φ)** is **11.5**,** viscosity (μ)** is **10.5**,** well radius (r**_{w}) is **24**,** minimum transient time (t)** is **17**** and total compressibility (C**_{T}) is **28**.

Finally, Click on Calculate

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