{\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 |
|---|---|
The other examples of Reservoir boundary flow condition @model are provided by Aquifer Drive Models and Gas Cap Drive Models.
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petroleum Geology / Reservoir boundary
[ Infinite reservoir boundary ] [ Reservoir flow boundary ] [ Multiwell Retrospective Testing (MRT) ]
[ Aquifer Drive Models ] [ Gas Cap Drive Models ]