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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:
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\rho(t, {\bf r}) = \rm const |
Well production or injection resulting in steady state flow is characterized by
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