The image above represents dimensionless pressure drop.

To compute for the dimensionless pressure drop, five essential parameters are needed and these parameters are **Permeability-Thickness Product (kh), Pressure Drop (ΔP), Oil Rate (Q _{o}), Oil Viscosity (μ_{o}) **and

**Oil FVF (B**

_{o}).The formula for calculating dimensionless pressure drop:

P_{D} = ^{khΔP} / _{141.2QoBoμo}

Where;

P_{D} = Dimensionless Pressure Drop

kH = Permeability-Thickness Product

ΔP = Pressure Drop

Q_{o} = Oil Rate

μ_{o} = Oil Viscosity

B_{o} = Oil FVF

Let’s solve an example;

Find the dimensionless pressure drop with a permeability-thickness product of 70, a pressure drop of 30, an oil rate of 49, an oil viscosity of 19 and oil FVF of 31.

This implies that;

kh = Permeability-Thickness Product = 20

ΔP = Pressure Drop = 30

Q_{o} = Oil Rate = 49

μ_{o} = Oil Viscosity = 19

B_{o} = Oil FVF = 31

P_{D} = ^{khΔP} / _{141.2QoBoμo}

P_{D} = ^{20 x 30}/_{141.2 x 49 x 31 x 19}

P_{D} = ^{20 x 30}/_{4075173.19}

P_{D} = ^{600}/_{4075173.19}

P_{D} = 0.000147

Therefore, the **dimensionless pressure drop **is **0.000147 psi.**

**Calculating the Permeability-Thickness Product when Dimensionless Pressure Drop, Pressure Drop, Oil Rate, Oil Viscosity and Oil FVF.**

kh = ^{PD x 141.2QoBoμo} / _{ΔP}

Where;

kh = Permeability-Thickness Product

P_{D} = Dimensionless Pressure Drop

ΔP = Pressure Drop

Q_{o} = Oil Rate

μ_{o} = Oil Viscosity

B_{o} = Oil FVF

Let’s solve an example;

Find the permeability-thickness product with a dimensionless pressure drop of 28, a pressure drop of 16, an oil rate of 21, an oil viscosity of 18 and oil FVF of 24 .

This implies that;

P_{D} = Dimensionless Pressure Drop = 28

ΔP = Pressure Drop =16

Q_{o} = Oil Rate = 21

μ_{o} = Oil Viscosity = 18

B_{o} = Oil FVF = 24

kh = ^{PD x 141.2QoBoμo} / _{ΔP}

kh = ^{28 x 141.2 x 21 x 24 x 18} / _{16}

kh = ^{35867059.8} / _{16}

kh = 2241691.2

Therefore, the **permeability-thickness product **is **2241691.2.**

**Calculating the Pressure Drop when Dimensionless Pressure Drop, Permeability-Thickness Product, Oil Rate, Oil Viscosity and Oil FVF.**

ΔP = ^{PD x 141.2QoBoμo} / _{kh}

Where;

ΔP = Pressure Drop

P_{D} = Dimensionless Pressure Drop

kh = Permeability-Thickness Product

Q_{o} = Oil Rate

μ_{o} = Oil Viscosity

B_{o} = Oil FVF

Let’s solve an example;

Find the pressure drop with a dimensionless pressure drop of 38, a permeability-thickness product of 24, an oil rate of 11, an oil viscosity of 8 and oil FVF of 12.

This implies that;

P_{D} = Dimensionless Pressure Drop = 38

kh = Permeability-Thickness Product = 24

Q_{o} = Oil Rate = 11

μ_{o} = Oil Viscosity = 8

B_{o} = Oil FVF = 12

ΔP = ^{PD x 141.2QoBoμo} / _{kh}

ΔP = ^{38 x 141.2 x 11 x 12 x 8} / _{24}

ΔP = ^{5666073.6} / _{24}

ΔP = 236086.4

Therefore, the **pressure drop** is **236086.4.**

**Calculating the Oil Rate when Dimensionless Pressure Drop, Permeability-Thickness Product, Pressure Drop, Oil Viscosity and Oil FVF.**

Q_{o} = ^{khΔP} / _{PD x 141.2Boμo}

Where;

Q_{o} = Oil Rate

P_{D} = Dimensionless Pressure Drop

kh = Permeability-Thickness Product

ΔP = Pressure Drop

μ_{o} = Oil Viscosity

B_{o} = Oil FVF

Let’s solve an example;

Find the oil rate with a dimensionless pressure drop of 60, a permeability-thickness product of 30, a pressure drop of 34, an oil viscosity of 11 and oil FVF of 25.

This implies that;

P_{D} = Dimensionless Pressure Drop = 60

kh = Permeability-Thickness Product = 30

ΔP = Pressure Drop =34

μ_{o} = Oil Viscosity = 11

B_{o} = Oil FVF = 25

Q_{o} = ^{khΔP} / _{PD x 141.2Boμo}

Q_{o} = ^{30 x 34} / _{60 x 141.2 x 25 x 11}

Q_{o} = ^{1020} / _{2329800}

Q_{o} = 4.37e-4

Therefore, the **oil rate **is **4.37e-4**

**Calculating the Oil FVF when Dimensionless Pressure Drop, Permeability-Thickness Product, Pressure Drop, Oil Rate and Oil Viscosity.**

B_{o} = ^{khΔP} / _{PD x 141.2Qoμo}

Where;

B_{o} = Oil FVF

P_{D} = Dimensionless Pressure Drop

kh = Permeability-Thickness Product

ΔP = Pressure Drop

Q_{o} = Oil Rate

μ_{o} = Oil Viscosity

Let’s solve an example;

Find the oil FVF with a dimensionless pressure drop of 40, a permeability-thickness product of 10, a pressure drop of 7, an oil rate of 3 and oil viscosity of 5.

This implies that;

P_{D} = Dimensionless Pressure Drop = 40

kh = Permeability-Thickness Product = 10

ΔP = Pressure Drop = 7

Q_{o} = Oil Rate = 3

μ_{o} = Oil Viscosity = 5

B_{o} = ^{khΔP} / _{PD x 141.2Qoμo}

B_{o} = ^{10 x 7} / _{40 x 141.2 x 3 x 5}

B_{o} = ^{70} / _{84720}

B_{o} = 8.26e-4

Therefore, the **oil FvF **is **8.26e-4.**

**Calculating the Oil Viscosity when Dimensionless Pressure Drop, Permeability-Thickness Product, Pressure Drop, Oil Rate and Oil FVF.**

μ_{o} = ^{khΔP} / _{PD x 141.2QoBo}

Where;

μ_{o} = Oil Viscosity

P_{D} = Dimensionless Pressure Drop

kh = Permeability-Thickness Product

ΔP = Pressure Drop

Q_{o} = Oil Rate

B_{o} = Oil FVF

Let’s solve an example;

Find the oil viscosity with a dimensionless pressure drop of 20, a permeability-thickness product of 9.5, a pressure drop of 4.6, an oil rate of 3.5 and oil FVF of 4.

This implies that;

P_{D} = Dimensionless Pressure Drop = 20

kh = Permeability-Thickness Product = 9.5

ΔP = Pressure Drop = 4.6

Q_{o} = Oil Rate = 3.5

B_{o} = Oil FVF = 4

μ_{o} = ^{khΔP} / _{PD x 141.2QoBo}

μ_{o} = ^{9.5 x 4.6} / _{20 x 141.2 x 3.5 x 4}

μ_{o} = ^{43.7} / _{39536}

μ_{o} = 0.001105

Therefore, the **oil viscosity **is **0.001105.**

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

To get the answer and workings of the dimensionless pressure drop 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 **D****imensionless Pressure Drop**** **under **Well Testing**

The screenshot below displays the page or activity to enter your values, to get the answer for the dimensionless pressure drop according to the respective parameters which are the **Permeability-Thickness Product (kh), Pressure Drop (ΔP), Oil Rate (Q _{o}), Oil Viscosity (μ_{o}) **and

**Oil FVF (B**

_{o}).Now, enter the values appropriately and accordingly for the parameters as required by the **Permeability-Thickness Product (kh) is 20, Pressure Drop (ΔP)** is **30**,** Oil Rate (Q _{o})** is

**49**,

**Oil Viscosity (μ**is

_{o})**19**and

**Oil FVF (B**is

_{o})**31**.

Finally, Click on Calculate

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