Sequential Methods for Coupled Geomechanics and Multiphase Flow

102 CHAPTER 4. CONVERGENCE OF THE DRAINED AND UNDRAINED SPLITS
Dimensionless distance (z/Lz)
Dimensionless distance (z/Lz)
2
1.8
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
Undrained (1 iteration)
∆ t d =2.6×10 −2
∆ t d =1.04×10 −2
∆ t d =5.2×10 −3
∆ t d =5.2×10 −4
∆ t d =5.2×10 −5
True solution
0
0 0.2 0.4 0.6 0.8 1
Dimensionless pressure P =(P−P )/∆p
d i i
2
1.8
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
Undrained (1 iteration)
∆ t d =2.6×10 −2
∆ t d =1.04×10 −2
∆ t d =5.2×10 −3
∆ t d =5.2×10 −4
∆ t d =2.6×10 −4
True solution
0
0 0.005 0.01 0.015 0.02
Dimensionless displacement (u =u/L )
d z
Figure 4.6: Convergence of the undrained split with one iteration for Case 4.1: pressure
(top) and displacement (bottom).