Boundary Conditions
Section # 3
Boundary Conditions
1.
Infinite-acting reservoir:
It is assumed that the reservoir has such a large areal extent that
none of the reservoir boundaries are felt by the pressure response
generated during the test.
2.
Pseudo Steady State (finite reservoir or closed system)
As production continues from a well with closed boundaries, all
the reservoir boundaries will eventually be felt indicating that
Pseudo Steady State (P.S.S.) is reached. The rate of the
reservoir pressure depletion (dP/dt) becomes constant and its
magnitude reflects the size of the reservoir.
3. Steady State (finite reservoir with constant press. boundary)
Under Steady Steady boundary conditions, the pressure
distribution in the reservoir remains constant throughout the
production life of the reservoir, at constant production rate.
Boundary Conditions
1. Infinite-acting:
Short tests - pressure wave does not reach any reservoir boundaries
Large reservoirs
r
inv
Pi
t1
t2
Pwf1
Pwf2
rinv
rinv: Radius of investigation
ft
kt
948 c t
Reservoir radius, r
Boundary Conditions
2. Pseudo-Steady-State (P.S.S.):
Long tests - pressure wave reaches all reservoir boundaries
Small reservoirs
Pi
t1
t2
Pwf1
Pwf2
Reservoir radius, r
Boundary Conditions
3. Steady State:
Reservoirs under pressure maintenance schemes
The presence of a large aquifer or gas cap
Pi
Pressure constant for t =
Pwf
Reservoir radius, r