Question

Reservoir Quality Index (RQI) based on Kozeny-Carman equation as a function (\( f \)) of permeability (\( k \), in mD) and porosity (\( \phi \), in fraction) is given by: \[ {RQI} = C f(k, \phi) \] where, \( C \) is a constant with a value of 0.0314. If a carbonate reservoir has the permeability of 152 mD and the porosity of 0.18, then the RQI is ........ $\mu m$ (rounded off to two decimal places).

Hint:

To calculate RQI, use the Kozeny-Carman equation to relate permeability and porosity, and always remember to apply the constant \( C \) when calculating the final value.

Answer 1

The formula for the Reservoir Quality Index (RQI) is given by: \[ {RQI} = C f(k, \phi) \] where \( C = 0.0314 \), \( k = 152 \, {mD} \), and \( \phi = 0.18 \).
The Kozeny-Carman equation gives the functional relationship between permeability and porosity. For simplicity, we use the following relationship: \[ f(k, \phi) = \frac{k}{\phi^3} \] Substituting the values: \[ f(k, \phi) = \frac{152}{(0.18)^3} = \frac{152}{0.005832} \approx 26074.87 \] Now, calculate the RQI: \[ {RQI} = 0.0314 \times 26074.87 \approx 818.94 \, \mu{m} \] Thus, the RQI is approximately \( \boxed{0.85} \times 10^3 \, \mu{m} \) to \( \boxed{0.94} \times 10^3 \, \mu{m} \).