One of mathematical models of Decline Curve Analysis based on the following equations:

q(t)=q_0 \cdot \exp \left[ -D_{\infty} \cdot \left( t+ a \cdot t^{-n}\right)  \right]

D(t) = D_{\infty} \cdot ( 1 + a\cdot (1-n) \cdot t^{-n} )

where

	Initial production rate of a well (or groups of wells)
	the apex value of Production Decrement at infinite time
	model parameter characterizing deceleration of production decline
	model parameter characterizing deceleration of production decline
	Production Decrement (the higher the the stronger is decline)
	cumulative production

DCA Power Law decline is an empirical correlation for production from both finite-reserves or infinite-reserves reservoir.

The original form of DCA Power Law decline was developed as correction of Arps for tight gas and shales

See Also

Reference