{\rm F}_{\Gamma}(p, {\bf u}) = 0 |
where
reservoir boundary | |
reservoir pressure | |
fluid velocity | |
some function |
The popular form of the Reservoir boundary flow condition @model is:
{\rm F}_{\Gamma}(p, {\bf u}) = \big[ a \cdot (p({\bf r}) - p_0) + \epsilon \cdot {\bf n} \cdot M \, (\nabla p - \rho \, {\bf g}) \big]_{{\bf r} \in \Gamma} = 0 |
where
reservoir pressure | time | ||
fluid density | position vector | ||
gradient operator | |||
formation permeability to a given fluid | gravity vector | ||
dynamic viscosity of a given fluid | fluid velocity | ||
external normal to the reservoir boundary | a binary value |
The two extreme cases of are:
Constant Pressure | No flow |
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petroleum Geology / Reservoir boundary
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