Stationary flow with reservoir and fluid staying at quasistatic equilibrium and fluid pressure and temperature are not changing in time:

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p(t, {\bf r}) = p({\bf r})

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

Well production or injection resulting in steady state flow is Well flow regime which creates steady state reservoir flow around the well and characterised by:

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q(t) = q = \rm const

constant flowrate

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p_e(t) = p_e = \rm const

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p_{wf}(t) = p_{wf} = \rm const

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J(t) = J = \rm const

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