Research Article

Effects of Reservoir Boundary Conditions, Drainage Shape, and Well Location on Productivity of a Vertical Well

Table 10

Summary of productivity equations for permeability isotropic reservoirs.

Circular reservoirRectangular reservoir

Steady state, off-center wellEquation (16)Steady state, four boundaries at constant pressureEquations (23), (24)–(27)
Steady state, centered wellEquation (18)Steady state, two opposite boundaries at constant pressureEquations (32), (24)–(27)
Pseudosteady state, off-center wellEquations (54) and (55)Steady state, only one boundary at constant pressureEquations (33), (34)–(37)
Pseudo-steady state, centered wellEquation (56)Steady state, three boundaries at constant pressureEquations (38), (39)–(42)
Sector fault reservoirSteady state, two adjacent boundaries at constant pressureEquations (43), (44)–(51)
Steady state, well on bisector lineEquations (21) and (22)Pseudosteady state, off-center wellEquations (63) and Eq. (64)
Pseudosteady state, well on bisector lineEquations (59) and (60)Pseudosteady state, centered wellEquation (66)