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Sequential Methods for Coupled Geomechanics and Multiphase Flow

Sequential Methods for Coupled Geomechanics and Multiphase Flow

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

Dimensionless horizontal displacement u x /L x<br />

Dimensionless horizontal displacement u x /L x<br />

−1<br />

−1.1<br />

−1.2<br />

−1.3<br />

−1.4<br />

x 10 −3 Case 3.3. The M<strong>and</strong>el Problem, τ=0.90<br />

−1.5<br />

0 0.5 1 1.5<br />

−1<br />

−1.1<br />

−1.2<br />

−1.3<br />

−1.4<br />

Dimensionless time(c v t/(Lx) 2 )<br />

Analytic sol<br />

Fully coupled<br />

Undrained<br />

Drained<br />

x 10 −3 Case 3.3. The M<strong>and</strong>el Problem, τ=1.10<br />

−1.5<br />

0 0.5 1 1.5<br />

Dimensionless time(c v t/(Lx) 2 )<br />

Drained<br />

Undrained<br />

Fully coupled<br />

Analytic Sol<br />

Figure 3.16: Case 3.3 (the M<strong>and</strong>el problem). Evolution of the dimensionless horizontal<br />

displacement on the right side as a function of dimensionless time. Shown are the results<br />

<strong>for</strong> the fully coupled, drained, <strong>and</strong> undrained splits with different coupling strengths. Top:<br />

τ = 0.90. Bottom: τ = 1.10.

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