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@wikipedia


Arp's A specific type of mathematical model of Decline Curve Analysis is based , based on the following equation: 

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The Exponential and Hyperbolic decline are applicable for Boundary Dominated Flow with finite reserves

LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D \leq \infty
 while Harmonic decline is associated with production from the reservoir with infinite reserves
LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D = \infty
. In other words the Harmonic decline is very slow.

Since all physical reserves are finite the true meaning of Harmonic of Harmonic decline is that up to date it did not reach the boundary of these reserves and at certain point in future it will transform into intoa finite-reseves decline (possibly Exponential or Hyperbolic decline).

Exponential decline has a physical meaning of declining production from finite drainage volume 

LaTeX Math Inline
bodyV_e
with constant BHP: 
LaTeX Math Inline
bodyp_{wf}(t) = \rm const
 (a specific type of Boundary Dominated Flow under Pseudo Steady State (PSS) conditions).

Harmonic and Hyperbolic declines are both empirical.

The 

See Also

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Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis

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