Assignment 3 Tutorial
ENGI 9114
Instructor: Dr. Thormod Johansen
Tutorial: Lili
Question 1
Note: There is pressure communication
between the two compartments
𝑃𝑐 ∗ = ∆𝜌𝑔ℎ∗
ℎ∗ is the distance
between FWL and OWC
Question 2
Plot relative permeability curves
in Excel or Matlab
Question 2
𝐾𝐾𝑟𝑤 𝑑𝑃 𝐾𝐾𝑟𝑜 𝑑𝑃
𝑏) 𝑄𝑤 = − 𝑄𝑜 = −
𝜇𝑤 𝑑𝑥 𝜇𝑜 𝑑𝑥
𝑐) & 𝑑) 𝑆𝑢𝑏𝑠𝑡𝑖𝑡𝑢𝑡𝑒 𝐾𝑟𝑤 and 𝐾𝑟𝑜 in Corey Model,
calculate 𝑆𝑤 and a
Question 3
∗ 1
∗ 𝑃𝑐 𝐾
𝐽∗
a) 𝑅𝑒𝑎𝑑 and use to calculate 𝑃𝑐 ∗
𝐽(𝑆𝑤) = 𝜎 ( ∅)2
Then, you can distance between FWL and OWC, ℎ∗
1
𝑃𝑐 𝐾
b) ℎ = ℎ∗ +1.5 𝑃𝑐 =∆𝜌𝑔ℎ 𝐽(𝑆𝑤) = 𝜎 ( ∅)2
2𝜎𝑐𝑜𝑠𝜃
c) 𝑃𝑐 ∗ = 𝑟∗
∅𝐷2
d) 𝐾𝑜𝑧𝑒𝑛𝑦 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝐾 = const 𝜏
Question 4
a) Use the two gas wells to find gas density
b) 𝑃𝑔 =𝑝𝑔 + 𝜌𝑔 𝑔(𝑍 − 𝑍𝑔 )
𝑃𝑤 =𝑝𝑤 + 𝜌𝑤 𝑔(𝑍 − 𝑍𝑤 )
At free water level, 𝑃𝑔 = 𝑃𝑤
Thank you!
Any Questions?