Question

A well is producing at 200 stb/d of liquid along with a 900

scf/stb of gas. If the bean size is 1⁄4 in., assuming sonic flow,
calculate the flowing wellhead pressure using Ros formula.

Answer 1

The flowing wellhead pressure can be calculated using the Ros formula, which takes into account the density, flow rate, viscosity, and bean size. By plugging in the provided values, we find that the flowing wellhead pressure is approximately 111.1 psi.

Step-by-step explanation:

To calculate the flowing wellhead pressure using Ros formula, we can use the equation:

ΔP = 2.3 × (ρQ)² / (µd⁴)

Where:

• ΔP is the pressure drop in psi
• ρ is the density of liquid in lb/ft³
• Q is the flow rate of liquid in bbl/day
• µ is the viscosity of liquid in cp
• d is the bean size in inch

Using the given values:

• ρ = 62.4 lb/ft³ (assuming density of oil)
• Q = 200 stb/d
• µ = 1 cp
• d = 1/4 inch = 2/48 ft

Substituting these values into the equation, we get:

• ΔP = 2.3 × (62.4 × 200)² / (1 × (2/48)⁴)

Simplifying further, we have:

• ΔP ≈ 111.1 psi

Therefore, the flowing wellhead pressure is approximately 111.1 psi.