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@wikipedia
Stationary flow when fluid pressure and temperature across reservoir do not change in time:
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p(t, {\bf r}) = \rm const |
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T(t, {\bf r}) = \rm const |
This automatically implies that fluid density also stay constant as soon as the flow is in thermodynamic quasistatic equilibrium:
|
\rho(t, {\bf r}) = \rm const |
Well production or injection resulting in steady state flow is characterised by:
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constant flow rate |
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constant formation pressure |
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p_{wf}(t) = p_{wf} = \rm const |
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constant bottom-hole pressure |