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opm-poster-a0.sla
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<ITEXT CH="The Open Porous Media Initiative (OPM) Software"/>
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<ITEXT CH="Markus Blatt"/>
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<ITEXT CH="Major Contributors to OPM include:"/>
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<ITEXT CH="Ceetron Solutions AS, Dr. Blatt - HPC-Simulation-Software & Services, IRIS, NTNU, poware.de, SINTEF,"/>
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<ITEXT CH="Statoil AS, University of Bergen, University of Stuttgart"/>
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<ITEXT CH="ResInsight for Visualization"/>
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<ITEXT CH="Flow simulators of opm-flow (black oil, solvent, polymer)"/>
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The pure black oil equations read
\begin{equation*}
\frac{\partial}{\partial t} \left[ \phi \left( \frac{s_o}{B_o} + \frac{r_v
s_g}{B_g}\right)\right] + \nabla \cdot \left(\frac{1}{B_o} {\mathbf
{\mathbf v}}_o + \frac{r_v}{B_g}
v_g \right)= q_o + r_v q_g
\end{equation*}
\begin{equation*}
\frac{\partial}{\partial t} \left[\phi \left(\frac{r_s s_o}{B_o} +
\frac{s_g}{B_g} \right) \right] + \nabla \left( \frac{r_s}{B_o}
{\mathbf v}_o + \frac{1}{B_g} {\mathbf v}_g\right) = r_s q_o + q_g
\end{equation*}
\begin{equation*}
\frac{\partial}{\partial t} \left[ \phi \frac{s_w}{B_w}
\right] + \nabla \cdot \left( \frac{1}{B_w} {\mathbf v}_w \right) = q_w\,,
\end{equation*}
\begin{equation*}
s_o + s_g + s_w = 1\,,
\end{equation*}
\begin{equation*}
{\mathbf v}_\alpha = - \frac{k_{r,\alpha}}{\mu_\alpha} K \left(\nabla p_\alpha - \rho_\alpha {\mathbf g} \right) \quad \alpha \in
\{o, g, w\}\,.
\end{equation*}
For oil ($\alpha=o$), gas ($\alpha=g$), and water ($\alpha=w$) we used
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<ITEXT CH="Numerical Challenges"/>
<para PARENT="Subheading"/>
<ITEXT CH="•Properties depend on saturation/pressure"/>
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<ITEXT CH="•Highly nonlinear and coupled"/>
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<ITEXT CH="•Complicated geometry (faults, irregular domains"/>
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<ITEXT CH="•Permeability jumps"/>
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<ITEXT CH="Solver Approach"/>
<para PARENT="Subheading"/>
<ITEXT CH="•Based on DUNE http://www.dune-project.org"/>
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<ITEXT CH="•Cornerpoint grid"/>
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<ITEXT CH="•Cell centered finite volumes with upwinding"/>
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<ITEXT CH="•Two point flux approximation"/>
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<ITEXT CH="•Fully implicit and coupled formulation"/>
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<ITEXT CH="•CPR with AMG / block ILU0"/>
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<ITEXT CH="•MPI-Parallelism"/>
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<ITEXT CH="•Eclipse file format for IO"/>
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\begin{tabular}[h]{ll}
\(s_\alpha\) & saturation of phase $\alpha$\\
\(v_\alpha\) & Darcy velocity of phase $\alpha$\\
$p_\alpha,$ & pressure of phase $\alpha$\\
$K$ & absolute permeability tensor\\
$\mu_\alpha$ & viscosity of phase $\alpha$\\
$\rho_\alpha$ & density of phase $\alpha$\\
\end{tabular}
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<ITEXT CH="Open OPM Development"/>
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<ITEXT CH="•Collaborative development on Github"/>
<para PARENT="Posterenumtext"/>
<ITEXT CH="•Licensed under GPL version 3"/>
<para PARENT="Posterenumtext"/>
<ITEXT CH="•Automatic testing"/>
<para PARENT="Posterenumtext"/>
<ITEXT CH="•Regular benchmarking on http://linuxbenchmarking.com"/>
<para PARENT="Posterenumtext"/>
<ITEXT CH="•Aims to accelerate technology transfer between industry and academia"/>
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<ITEXT CH="•Provides datasets for SPE test cases and real field models as open data"/>
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<ITEXT CH="Fixed Boundary Conditions"/>
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<ITEXT CH="Relative permeability upscaling"/>
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<ITEXT CH="•Compute steady state for given configuration"/>
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<ITEXT CH="Single-phase upscaling"/>
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<ITEXT CH="•Flow-based method using directional flow problems"/>
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<ITEXT CH="•Mimetic differences to reduce grid-orientation effects"/>
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<ITEXT CH="•AMG as linear solver"/>
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<ITEXT CH="Multisegment Well Model"/>
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<ITEXT CH="•Well bore discretized with segments"/>
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<ITEXT CH="•Primary variables for each segment"/>
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<ITEXT CH="•Naturally supports multilateral wells"/>
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<ITEXT CH="Standard Well Model"/>
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<ITEXT CH="•Simple Well Model"/>
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<ITEXT CH="•Uniform fluid composition within well bore"/>
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<ITEXT CH="•Supports cross flow"/>
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<ITEXT CH="•Adequately describes most wells in reservoir simulation"/>
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