How to Calculate and Solve for the Water – Oil Ratio of a Reservoir Fluid Flow | The Calculator Encyclopedia

The above image represents Water – Oil Ratio. To calculate for the water – oil ratio, six essential parameters are needed and these parameters are (μ_o)Oil Viscosity, (μ_w)Water Viscosity, (k_rw)Relative Permeability to Water, (k_ro)Relative Permeability to Oil, (B_w)Water Formation Volume Factor and (B_o)Oil Formation Volume Factor. 

The formula for calculating the water – oil ratio:

WOR = [^k_rw / _kro] [^μ_oB_o  / _μwBw ]

Where;

WOR = Water Oil Ratio
μo = Oil Viscosity
μ_w = Water Viscosity
k_rw = Relative Permeability to Water
k_ro = Relative Permeability to Oil
B_w = Water Formation Volume Factor
B_o = Oil Formation Volume Factor

Let’s solve an example;
Find the water – oil ratio when the oil viscosity is 9, water viscosity is 11 with a relative permeability to water of 21, relative permeability to oil of 7 and a water formation volume factor of 14 with oil formation volume factor of 27.

This implies that;

μo = Oil Viscosity = 9
μ_w = Water Viscosity = 11
k_rw = Relative Permeability to Water = 21
k_ro = Relative Permeability to Oil = 7
B_w = Water Formation Volume Factor = 14
B_o = Oil Formation Volume Factor = 27

WOR = [^k_rw / _kro] [^μ_oB_o  / _μwBw ]
WOR = [21/7] [9 x 27 /11 x 14]
That is, WOR = [21/7] [243/154]
WOR = [21/7] [1.5779]
WOR = [3] [1.5779]
Then, WOR = 4.73

Therefore, the Water – Oil Ratio is 4.73.

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

How to Calculate and Solve for the Water – Oil Ratio of a Reservoir Fluid Flow  Using The Calculator Encyclopedia

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the water – oil ratio.

To get the answer and workings of the water – oil ratio 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 Water – Oil Ratio under Reservoir Fluid Flow

The screenshot below displays the page or activity to enter your value, to get the answer for the water – oil ratio according to the respective parameter which are the (μ_o)Oil Viscosity, (μ_w)Water Viscosity, (k_rw)Relative Permeability to Water, (k_ro)Relative Permeability to Oil, (B_w)Water Formation Volume Factor and (B_o)Oil Formation Volume Factor.

Now, enter the value appropriately and accordingly for the parameter as required by the oil viscosity is 9, water viscosity is 11 with a relative permeability to water of 21, relative permeability to oil of 7 and a water formation volume factor of 14 with oil formation volume factor of 27.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the water – oil ratio and presents the formula, workings and steps too.