How to Calculate and Solve for Radial Flow Rate in Reservoir Fluid Flow | The Calculator Encyclopedia
Last Updated on February 20, 2024
The image above represents the radial flow rate. To calculate the radial flow rate, eight essential parameters are needed and these parameters are External Pressure (Pe), Flowing Bottom-Hole Pressure (Pwf), Formation Thickness (h), Oil Viscosity (μo ), Permeability (k), Oil Formation Volume Factor (Bo), Drainage Radius (re) and Well Bore Radius (rw ).
Formula for Radial Flow Rate
The formula for calculating the radial flow rate:
Qo = 0.00708kh[Pe – Pwf] / μo Bo In[re / rw]
Where;
Qo = Radial Flow Rate
Pe = External Pressure
Pwf = Flowing Bottom-Hole Pressure
h = Formation Thickness
μo = Oil Viscosity
k = Permeability
Bo = Oil Formation Volume Factor
re = Drainage Radius
rw = Well Bore Radius
Let’s solve an example;
Find the radial flow rate when the External Pressure is 14, Flowing Bottom-Hole Pressure is 21, Formation Thickness is 7, Oil Viscosity is 35, Permeability is 50, Oil Formation Volume Factor is 13, Drainage Radius is 26 and Well Bore Radius is 15.
This implies that;
Pe = External Pressure = 14
Pwf = Flowing Bottom-Hole Pressure = 21
h = Formation Thickness = 7
μo = Oil Viscosity = 35
k = Permeability = 50
Bo = Oil Formation Volume Factor = 13
re = Drainage Radius = 26
rw = Well Bore Radius = 15
Qo = 0.00708kh[Pe – Pwf] / μo Bo In[re / rw]
Qo = 0.00708 x 50 x 7 [14 – 21] / 35 x 13 In[26 / 15]
That is, Qo = 0.00708 x 50 x 7 [-7] / 35 x 13 In[26 / 15]
Qo = 0.00708 x 50 x 7 [-7] / 35 x 13 In[1.73]
Qo = 0.00708 x 50 x 7 [-7] /35 x 13 x 0.55
So, Qo = 2.478 [-7] / 35 x 13 x 0.55
Qo = -17.346 / 250.27
Qo = -0.069
Therefore, the radial flow rate is -0.069 STB/day.
How to Calculate Radial Flow Rate in Reservoir Fluid Flow Using The Calculator Encyclopedia
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the radial flow rate
To get the answer and workings of the radial 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
Steps to Calculate Radial Flow Rate
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 Radial Flow Rate under Reservoir Fluid Flow
The screenshot below displays the page or activity to enter your value, to get the answer for the radial flow rate according to the respective parameter which are the External Pressure (Pe), Flowing Bottom-Hole Pressure (Pwf), Formation Thickness (h), Oil Viscosity (μo ), Permeability (k), Oil Formation Volume Factor (Bo), Drainage Radius (re) and Well Bore Radius (rw ).
Now, enter the value appropriately and accordingly for the parameter as required by the External Pressure (Pe) is 14, Flowing Bottom-Hole Pressure (Pwf) is 21, Formation Thickness (h) is 7, Oil Viscosity (μo ) is 35, Permeability (k) is 50, Oil Formation Volume Factor (Bo) is 13, Drainage Radius (re) is 26 and Well Bore Radius (rw ) is 15.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the radial flow rate and presents the formula, workings, and steps too.