Sequential Methods for Coupled Geomechanics and Multiphase Flow

152 CHAPTER 5. FIXED-STRAIN AND FIXED-STRESS SPLITS
Dimensionless horizontal displacement u x /L x
Dimensionless horizontal displacement u x /L x
−1
−1.1
−1.2
−1.3
−1.4
x 10 −3 Case 5.3. The Mandel Problem, τ=0.90
−1.5
0 0.5 1 1.5
−1
−1.1
−1.2
−1.3
−1.4
Dimensionless time(c v t/(Lx) 2 )
Analytic sol
Fully coupled
Fixed stress
Fixed strain
x 10 −3 Case 5.3. The Mandel Problem, τ=1.10
−1.5
0 0.5 1 1.5
Dimensionless time(c v t/(Lx) 2 )
Fixed strain
Fixed stress
Fully coupled
Analytic Sol
Figure 5.10: Case 5.3 (the Mandel problem). Evolution of the dimensionless horizontal
displacement on the right side as a function of dimensionless time. Shown are the results
for the fully coupled, fixed-strain, and fixed-stress split methods. Top: τ = 0.90. Bottom:
τ = 1.10.