Sequential Methods for Coupled Geomechanics and Multiphase Flow

150 CHAPTER 5. FIXED-STRAIN AND FIXED-STRESS SPLITS
Dimensionless pressure (P−P i )/P i
Dimensionless pressure (P−P i )/P i
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
Case 5.3. The Mandel Problem, τ=0.90
Analytic sol
Fully coupled
Fixed stress
Fixed strain
0
0 2 4 6 8
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
Dimensionless time (t d =4c v t/(Lz) 2 )
Case 5.3. The Mandel Problem, τ=1.10
Fixed strain
Fixed stress
Fully coupled
Analytic Sol
0
0 1 2 3 4 5 6
Dimensionless time (t d =4c v t/(Lz) 2 )
Figure 5.8: Case 5.3 (the Mandel problem). Evolution of the pressure at the observation well
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.