Calculate oil rates of two wells in an under saturated oil

Question

Production Engineering

1. Calculate the wellhead pressure for the production of 3000 bbl/d of oil with a density of 0.80 g/cm³ and a viscosity of 1.0cp in a10000-ft vertical well that is deviated 40 degrees from vertical. having a wellhead pressure of 1000 psi and a 2-in., 3.4-lbm/ft tubing.

The inner diameter of a 2-in., 3.4-lbm/ft tubing is 1.75 in., and the relative roughness is 0.005.

2. Calculate oil rates of two wells in an under saturated oil reservoir using generalized Vogel's equation.

The following data are given:
Reservoir pressure, p_i =6000 psia
Bubble point pressure, p_b=4300 psia

Tested flowing bottom-hole pressure in Well A,p_wf1 =2300 psia

Tested production rate from Well A, q₁=1500 stb/day

Calculate the oil production rate if flowing bottom-hole pressure is 4000 psia

Tested flowing bottom-hole pressure in Well B,p_wf1=4100psia

Tested production rate from Well B, q₁= 1300 stb/day

Calculate the oil production rate if flowing bottom-hole pressure is 3000 psia

3. Calculate the bottom hole pressure for the injection of 1000bbl/d of oil with a density of 1.03 g/cm³ and a viscosity of 1.05cp in a10000-ft vertical well that is deviated 40 degrees from vertical. having a wellhead pressure of 1000 psi and a 2-in., 3.4-lbm/ft tubing. The inner diameter of a 2-in., 3.4-lbm/ft tubing is 1.75 in., and the relative roughness is 0.005.

4. Calculate the damage zone permeability given reservoir k = 100md, damage penetration = 4ft, skin factor = 5, wellbore radius = 0.328ft