One of mathematical models of Decline Curve Analysis based on the following equations:
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where
q_0 = q(t=0) | Initial production rate of a well (or groups of wells) |
D_0 > 0 | initial Production Decrement |
a | model parameter characterizing production decline |
n | model parameter characterizing production decline |
\displaystyle D(t) =- \frac{dq}{dQ} | Production Decrement (the higher the D the stronger is decline) |
\displaystyle Q(t)=\int_0^t q(t) dt | cumulative production |
DCA Power Law decline is an empirical correlation for production from both finite-reserves Q_{\rm max} \leq \infty or infinite-reserves Q_{\rm max} = \infty reservoir.
Alternative form
The original form was developed as correction of Arps for tight gas and shales:
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where
D_{\infty} | Production Decrement at long times |
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
[ DCA Arps @model ] [ Production Decrement ]