Changes

[[file:fundamentals-of-fluid-flow_fig2.png|thumb|300px|{{figure number|2}}Plots of multi-rate production data.]]

[[file:fundamentals-of-fluid-flow_fig2.png|thumb|300px|{{figure number|2}}Plots of multi-rate production data.]]

Several IPR formulas have been developed to represent the inflow behavior of various types of wells. Matching a formula to multi-rate production data ([[:file:fundamentals-of-fluid-flow_fig2.png|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.

Several IPR formulas have been developed to represent the inflow behavior of various [[types of wells]]. Matching a formula to multi-rate production data ([[:file:fundamentals-of-fluid-flow_fig2.png|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.

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

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

==Extension of Darcy's law==

==Extension of Darcy's law==

Darcy's law, which was originally developed for water flow, has been extended to describe flow of hydrocarbon reservoir fluids (compressible and multiple phases).

Darcy's law, which was originally developed for water flow, has been extended to describe flow of [[hydrocarbon reservoir]] fluids (compressible and multiple phases).

For single-phase oil flow, the proportional constant that relates flow rates to pressure differences in the original Darcy's law is broken down into two independent factors: rock [[permeability]], ''k'', and fluid viscosity, μ For a linear flow system, this gives

For single-phase oil flow, the proportional constant that relates flow rates to pressure differences in the original Darcy's law is broken down into two independent factors: rock [[permeability]], ''k'', and fluid [[viscosity]], μ For a linear flow system, this gives

:<math>q = (A/L)(k/\mu)\Delta p</math>

:<math>q = (A/L)(k/\mu)\Delta p</math>

[[Category:Reservoir engineering methods]]

[[Category:Reservoir engineering methods]]