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Sequential Methods for Coupled Geomechanics and Multiphase Flow

Sequential Methods for Coupled Geomechanics and Multiphase Flow

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4.4. NUMERICAL EXAMPLES 103<br />

Dimensionless distance (z/Lz)<br />

Dimensionless distance (z/Lz)<br />

2<br />

1.8<br />

1.6<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Drained (Iteration vs Refined ∆ t d )<br />

∆ t d =2.6×10 −4 1 iteration<br />

∆ t d =5.2×10 −4 2 iterations<br />

True Solution<br />

0<br />

0 0.2 0.4 0.6 0.8 1<br />

Dimensionless pressure P =(P−P )/∆p<br />

d i i<br />

2<br />

1.8<br />

1.6<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Drained (Iteration vs Refined ∆ t d )<br />

∆ t d =2.6×10 −4 1 iteration<br />

∆ t d =5.2×10 −4 2 iterations<br />

True solution<br />

0<br />

0 0.005 0.01 0.015 0.02 0.025<br />

Dimensionless displacement (u =u/L )<br />

d z<br />

Figure 4.7: Comparison between more iterations <strong>and</strong> refined time step size in the drained<br />

split <strong>for</strong> Case 4.1: pressure (top) <strong>and</strong> displacement (bottom). The coupling strength is close<br />

to one (τ = 0.95).

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