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

q(t)=q_0 \cdot \exp \left[ -D_0 \cdot \left( t+ \frac{a \cdot t^{n+1}}{n+1} \right)  \right]

D(t) = D_0 \cdot ( 1 + a\cdot t^n )

where

	Initial production rate of a well (or groups of wells)
	initial Production decline rate
	model parameter characterizing production decline
	model parameter characterizing production decline
	Production decline rate
	cumulative production

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

Alternative form

The original form was developed as correction of Arps for tight gas and shales

:

q(t)=q_0 \cdot \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right)

where

decline decrement at long times (the higher the the stronger is decline)

See Also