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Sequential Methods for Coupled Geomechanics and Multiphase Flow

Sequential Methods for Coupled Geomechanics and Multiphase Flow

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3.7. NUMERICAL EXAMPLES 71<br />

Dimensionless vertical displacement u z /L z<br />

Dimensionless vertical displacement u z /L z<br />

0<br />

−1<br />

−2<br />

−3<br />

−4<br />

−5<br />

0<br />

−1<br />

−2<br />

−3<br />

−4<br />

−5<br />

x 10−4<br />

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

0 0.5 1 1.5<br />

x 10−4<br />

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

Analytic sol<br />

Fully coupled<br />

Undrained<br />

Drained<br />

Case 3.3 The M<strong>and</strong>el Problem, τ=1.10<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 3.15: Case 3.3 (the M<strong>and</strong>el problem). Evolution of the dimensionless vertical displacement<br />

on the top as a function of dimensionless time. Shown are the results <strong>for</strong> the fully<br />

coupled, drained, <strong>and</strong> undrained splits with different coupling strengths. Top: τ = 0.90.<br />

Bottom: τ = 1.10.

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