A New Mathematical Model for Pressure Transient Analysis in Stress-Sensitive Reservoirs

Table 4

Definitions of dimensionless variables.

Dimensionless pressure	𝑝𝐷=2𝜋𝑘𝑖ℎ𝑝𝑖−𝑝𝑞sc𝐵𝜇
Dimensionless overburden pressure	𝑝ob𝐷=2𝜋𝑘𝑖ℎ𝑝𝑖−𝑝ob𝑞sc𝐵𝜇
Dimensionless wellbore pressure	𝑝𝑤𝐷=2𝜋𝑘𝑖ℎ𝑝𝑖−𝑝𝑤𝑞sc𝐵𝜇
Dimensionless time	𝑡𝐷=𝑘𝑖𝑡𝜙𝜇𝑐𝑡𝑟^2𝑤
Dimensionless distance	𝑟𝐷=𝑟𝑟𝑤, 𝑟𝑒𝐷=𝑟𝑒𝑟𝑤
Dimensionless quadratic gradient coefficient	𝑞𝛼=^sc𝐵𝜇𝑐𝑓2𝜋𝑘𝑖ℎ
Dimensionless wellbore storage coefficient	𝐶𝐷=𝐶2𝜋𝜙𝑐𝑡ℎ𝑟^2𝑤