| (1) | {\rm F}_{\Gamma}(p, {\bf u}) = 0 |
where
\Gamma | reservoir boundary |
p | reservoir pressure |
{ \bf u } | fluid velocity |
{\rm F}_{\Gamma}(p, {\bf u}) | some function |
The popular form of the Reservoir boundary flow condition @model is:
| (2) | {\rm F}_{\Gamma}(p, {\bf u}) = \left[ a \cdot (p({\bf r}) - p_0) + \epsilon \cdot {\bf n} \cdot M \, (\nabla p - \rho \, {\bf g}) \right]_{{\bf r} \in \Gamma} = 0 |
where
p(t, {\bf r}) | reservoir pressure | t | time |
\rho({\bf r},p) | fluid density | {\bf r } | position vector |
M = k / \mu | \nabla | gradient operator | |
k | formation permeability to a given fluid | { \bf g } | gravity vector |
\mu | dynamic viscosity of a given fluid | { \bf u } | fluid velocity |
See Also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petroleum Geology / Reservoir boundary
[ Infinite reservoir boundary ] [ Reservoir flow boundary ] [ Multiwell Retrospective Testing (MRT) ]