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

(1)	$\begin{array}{l}\displaystyle q(t)=q_0 \cdot \exp \left[ -D_{\infty} \cdot \left( t+ a \cdot t^{-n}\right) \right]\end{array}$

(2)	$\begin{array}{l}\displaystyle D(t) = D_{\infty} \cdot ( 1 + a\cdot (1-n) \cdot t^{-n} )\end{array}$

where

$\begin{array}{l}q_0 = q(t=0)\end{array}$	Initial production rate of a well (or groups of wells)
$\begin{array}{l}D_{\infty} > 0\end{array}$	the apex value of Production Decrement at infinite time
$\begin{array}{l}a\end{array}$	model parameter characterizing deceleration of production decline
$\begin{array}{l}n > 0\end{array}$	model parameter characterizing deceleration of production decline
$\begin{array}{l}\displaystyle D(t) =- \frac{dq}{dQ}\end{array}$	Production Decrement (the higher the $\begin{array}{l}D\end{array}$ the stronger is decline)
$\begin{array}{l}\displaystyle Q(t)=\int_0^t q(t) dt\end{array}$	cumulative production

DCA Power Law decline is an empirical correlation for production from both finite-reserves $\begin{array}{l}Q_{\rm max} \leq \infty\end{array}$ or infinite-reserves $\begin{array}{l}Q_{\rm max} = \infty\end{array}$ reservoir.

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

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DCA Power Law @model

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