Sequential Methods for Coupled Geomechanics and Multiphase Flow

114 CHAPTER 4. CONVERGENCE OF THE DRAINED AND UNDRAINED SPLITS
P d =P/P i
u x /L x
2
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
P d at the top layer by Undrained (1 iter)
∆ t d =2.06×10 −3
∆ t d =1.03×10 −3
∆ t d =4.12×10 −4
∆ t d =2.06×10 −4
∆ t d =1.03×10 −5
∆ t d =4.12×10 −5
True solution
1
0 0.5 1 1.5
x/Lx
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
x 10−3
1
u x /L x at the top layer by Undrained (1 iter)
∆ t d =2.06×10 −3
∆ t d =1.03×10 −3
∆ t d =4.12×10 −4
∆ t d =2.06×10 −4
∆ t d =1.03×10 −5
∆ t d =4.12×10 −5
True solution
0
0 0.5 1 1.5
x/Lx
Figure 4.15: Convergence of the undrained split with one iteration for Case 4.2: pressure
(top) and displacement (bottom).