@wikipedia
Stationary Fluid flow when with fluid pressure and temperature across reservoir do not change pressure
is not changing in time: LaTeX Math Block |
---|
|
p(t, {\bf r}) = p({\rm const
\\[1.2ex]
Tbf r}) |
This immediately leads to stationary fluid velocity
...
...
...
This automatically implies that fluid density also stay constant as soon as the flow is in thermodynamic quasistatic equilibrium:
:
LaTeX Math Block |
---|
|
mathblock |
{\rhobf u}(t, {\bf r}) = {\bf u}({\rm const |
Well production or injection resulting in steady state flow is characterised by
constant rate:
Expand |
---|
|
Panel |
---|
borderColor | wheat |
---|
borderWidth | 10 |
---|
| In the most general case (both reservoir and pipelines) the fluid velocity is a function of pressure and pressure gradient and can be written as: |
|
mathblockq= q = \rm const |
constant formation pressure
LaTeX Math Block |
---|
|
p_e(t) = p_e = \rm const |
and constant bottom-hole pressure:
with right side not dependent on time in stationary flow: LaTeX Math Block |
---|
| \frac{\partial {\bf u}(t, {\bf r})}{\partial t}= 0 |
which leads to LaTeX Math Block Reference |
---|
| . |
|
The fluid temperature
is supposed to vary slowly enough to provide quasistatic equilibrium.
This flow regime is often observed in pipeline fluid flow and reservoir fluid flows.
See also
...
Physics / Fluid Dynamics
[ Steady State Well Flow Regime (SS) ]
...
...