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Sequential Methods for Coupled Geomechanics and Multiphase Flow

Sequential Methods for Coupled Geomechanics and Multiphase Flow

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64 CHAPTER 3. STABILITY OF THE DRAINED AND UNDRAINED SPLITS<br />

Dimensionless pressure (P/P i )<br />

Dimensionless pressure (P/P i )<br />

1<br />

0.95<br />

0.9<br />

0.85<br />

0.8<br />

0.75<br />

0.7<br />

0.65<br />

Case 3.2, τ=0.83<br />

Drained<br />

Undrained<br />

Fully coupled<br />

0.6<br />

0 0.05 0.1 0.15 0.2 0.25<br />

Dimensionless time (pore volume produced)<br />

1<br />

0.95<br />

0.9<br />

0.85<br />

0.8<br />

0.75<br />

0.7<br />

0.65<br />

Case 3.2, τ=1.2<br />

Drained<br />

Undrained<br />

Fully coupled<br />

0.6<br />

0 0.05 0.1 0.15 0.2 0.25<br />

Dimensionless time (pore volume produced)<br />

Figure 3.10: Case 3.2 (1D injection–production problem). Evolution of the dimensionless<br />

pressure as a function of dimensionless time (pore volume produced). The results <strong>for</strong> the<br />

fully coupled, drained, <strong>and</strong> undrained methods are shown. Top: coupling strength τ = 0.83.<br />

Bottom: coupling strength τ = 1.21.

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