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Sometimes producing wells produce at nearly constant bottomhole pressure, when it is being reduced by the downhole pump to its minimal value

LaTeX Math Inline

body	p_{wf} = p_{wf, {\rm min}} = \rm const

, specified by the pump location inside the wellbore.

In this case the liquid rate is declining

LaTeX Math Inline

body	q^{\uparrow}_L(t) < q^{\uparrow}_{LL}

This does not actually qualifies this production as

Sometimes the pressure control becomes effective in producing wells, when

Pressure Control and the well is still under Liquid Control conditions and once bottomhole pressure raises above minimal the pump returns to producing the target liquid rate

LaTeX Math Inline

body	q^{\uparrow}_L(t) = q^{\uparrow}_{LL} = \rm const

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