T(t, \mathbf{r}) = T(\mathbf{r})



Reservoir fluid temperature is not changing over time


s_w(t, \mathbf{r}) = s_w(\mathbf{r}), 
\quad s_o(t, \mathbf{r}) = s_o(\mathbf{r}), 
\quad s_g(t, \mathbf{r}) = s_g(\mathbf{r})



Reservoir saturation is not chaging over time


| \nabla  B_o | \sim 0, \quad |\nabla  B_g | \sim 0



No high fluid pressure gradients over reservoir volume


|\nabla P_{cow}(s)| \sim 0, \quad | \nabla P_{cog}(s)| \sim 0



No high capillary pressure gradients over reservoir volume



See also


Multi-phase pressure diffusion @model

Volatile/Black Oil dynamic flow models @model

Non-linear multi-phase diffusion derivation @model