How to Calculate and Solve for Linear Flow Rate in Reservoir Fluid Flow | The Calculator Encyclopedia

Last Updated on February 19, 2024

The image above represents the linear flow rate. To calculate the linear flow rate, four parameters are needed and these parameters are Initial pressure (P₁), Final Pressure (P₂), Thickness (h) and Permeability (k).

The formula for calculating linear flow rate:

q = 0.001127kh[P₁ – P₂]

Where:
q = Linear Flow Rate
P₁ = Initial Pressure
P₂ = Final Pressure
h = Thickness
k = Permeability

Let’s solve an example;
Find the linear flow rate when the initial pressure is 12, final pressure is 22, thickness is 18 and permeability is 44.

This implies that;
P₁ = Initial Pressure = 12
P₂ = Final Pressure = 22
h = Thickness = 18
k = Permeability = 44

q = 0.001127kh [P₁ – P₂]
q = 0.001127 x 44 x 18 [12 – 22]
Then, q = 0.001127 x 44 x 18 [-10]
q = 0.892584 [-10]
q = -8.92584

Therefore, the linear flow rate is -8.92584 ^bbl/_day.

Calculating Permeability when the linear flow rate, Initial Pressure, Final Pressure and Thickness are Given

k = ^q / _{0.001127h (p1 – p2)}

Where;
k = Permeability
q = Linear Flow Rate
P₁ = Initial Pressure
P₂ = Final Pressure
h = Thickness

Let’s solve an example;
Find the permeability when the initial pressure is 34, final pressure is 24, thickness is 12 and linear flow rate is 50.

This implies that;
q = Linear Flow Rate = 50
P₁ = Initial Pressure = 34
P₂ = Final Pressure = 24
h = Thickness = 12

k = ^q / _{0.001127h (p1 – p2)}
k = ⁵⁰ / _{0.001127h (34 – 24)}
So, k = ⁵⁰ / _{0.001127h (10)}
k = ⁵⁰ / _0.01127
k = 4436.5

Therefore, the permeability is 4436.5.

Calculating Thickness when the linear flow rate, Initial Pressure, Final Pressure and Permeability are Given

h = ^q / _{0.001127k (p1 – p2)}

Where;
h = Thickness
k = Permeability
q = Linear Flow Rate
P₁ = Initial Pressure
P₂ = Final Pressure

Let’s solve an example;
Find the thickness when the initial pressure is 24, final pressure is 12, permeability is 20 and linear flow rate is 30.

This implies that;
k = Permeability = 20
q = Linear Flow Rate = 30
P₁ = Initial Pressure = 24
P₂ = Final Pressure = 12

h = ^q / _{0.001127k (p1 – p2)}
h = ³⁰ / _{0.001127 x 20 (24 – 12)}
That is, h = ³⁰ / _{0.02254 (12)}
h = ³⁰ / _0.27048
h = 110.9

Therefore, the thickness is 110.9.

Read more: How to Calculate and Solve for Gas Pore Volume of a Reservoir Fluid Flow | The Calculator Encyclopedia

Calculating Initial Pressure when the linear flow rate, Thickness, Final Pressure, and Permeability are Given

p₁ = ^q / _{0.001127kh + p2}

Where;
P₁ = Initial Pressure
q = Linear Flow Rate
h = Thickness
k = Permeability
P₂ = Final Pressure

Let’s solve an example;
Find the initial pressure when the thickness is 16, final pressure is 20, permeability is 24, and linear flow rate is 70.

This implies that;
q = Linear Flow Rate = 70
h = Thickness = 16
k = Permeability = 24
P₂ = Final Pressure = 20

So, p₁ = ^q / _{0.001127kh + p2}
p₁ = ⁷⁰ / _{0.001127 x 24 x 16 + 20}
That is, p₁ = ⁷⁰ / _20.432768
p₁ = 3.425

Therefore, the initial pressure is 3.425.

Calculating Final Pressure when the linear flow rate, Thickness, Initial Pressure and Permeability are Given

p₂ = p₁ – ^q / _0.001127kh

Where;
P₂ = Final Pressure
P₁ = Initial Pressure
q = Linear Flow Rate
h = Thickness
k = Permeability

Let’s solve an example;
Find the final pressure when the thickness is 15, initial pressure is 28, permeability is 17 and linear flow rate is 56.

This implies that;
P₁ = Initial Pressure = 28
q = Linear Flow Rate = 56
h = Thickness = 15
k = Permeability = 17

p₂ = p₁ – ^q / _0.001127kh
p₂ = 28 – ⁵⁶ / _{0.001127 x 15 x 17}
Then, p₂ = 28 – ⁵⁶ / _0.28735
p₂ = 28 – 194.88
p₂ = -166.88

Therefore, the final pressure is -166.88.

How to Calculate Linear Flow Rate in Reservoir Fluid Flow Using The Calculator Encyclopedia

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the linear flow rate

To get the answer and workings of the linear flow rate 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 Reservoir Fluid Flow under Petroleum

Now, Click on Linear Flow Rate under Reservoir Fluid Flow

The screenshot below displays the page or activity to enter your value, to get the answer for the linear flow rate according to the respective parameter which are the Initial pressure (P₁), Final Pressure (P₂), Thickness (h) and Permeability (k).

Now, enter the value appropriately and accordingly for the parameter as required by the Initial pressure (P₁) is 12, Final Pressure (P₂) is 22, Thickness (h) is 18 and Permeability (k) is 44.

Finally, Click on Calculate

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