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  | isbn    = 0891816607

  | isbn    = 0891816607

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Well flow calculations focus essentially on two aspects of fluid flow: pressure profile along the flow path and the rate versus pressure relationship at key points of interest (nodes), as illustrated in Figure 1. The main parameters of interest (all in units of psia) are

Well flow calculations focus essentially on two aspects of fluid flow: pressure profile along the flow path and the rate versus pressure relationship at key points of interest (nodes), as illustrated in [[:file:fundamentals-of-fluid-flow_fig1.png|Figure 1]]. The main parameters of interest (all in units of psia) are

* ''p''_R = reservoir pressure

* ''p''_R = reservoir pressure

* ''p''_sp = separator pressure

* ''p''_sp = separator pressure

* ''p''_ST = stock tank pressure

* ''p''_ST = stock tank pressure

The corresponding rates are

The corresponding rates are

==Empirical IPR equations==

==Empirical IPR equations==

Several IPR formulas have been developed to represent the inflow behavior of various types of wells. Matching a formula to multi-rate production data (Figure 2) allows determination of the value of the characteristic constants in the equations, which in turn characterize the productivity of the well. The empirical formulas are the primary tools to quantify well productivity and to perform production calculations.

[[file:fundamentals-of-fluid-flow_fig1.png|left|thumb|{{figure number|1}}Pressure conditions in a simple production system.]]

[[file:fundamentals-of-fluid-flow_fig2.png|thumb|{{figure number|2}}Plots of multi-rate production data.]]

[[file:fundamentals-of-fluid-flow_fig2.png|thumb|{{figure number|2}}Plots of multi-rate production data.]]

===Productivity index equation for undersaturated oil===

===Productivity index equation for undersaturated oil===