Sequential Methods for Coupled Geomechanics and Multiphase Flow

5.6. NUMERICAL EXAMPLES 161
log ||e ||
10 Pd
Dimensionless pressure P d =(P−P i )/P i
0
−0.5
−1
−1.5
−2
−2.5
−3
Convergence analysis of pressure
−3.5
FC
Fixed−stress (1 iter)
−4
−8 −7.5 −7 −6.5 −6 −5.5 −5 −4.5 −4
log (∆ t )
10 d
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
Pressure distribution along the vertical axis
∆ t d =2.94×10 −6
∆ t d =1.17×10 −6
∆ t d =5.87×10 −7
∆ t d =2.94×10 −7
∆ t d =1.17×10 −7
∆ t d =5.87×10 −8
∆ t d =2.94×10 −8
True solution
0
0 0.5 1 1.5
Dimensionless distance (z/Lz)
Figure 5.17: Convergence of the fixed-stress split for Case 5.5 when Kest dr = K3D
dr . Top:
convergence of pressure. Bottom: pressure distribution along the vertical axis (X-Y section).
∆td = 4cv∆t/LxLz.