Duong mathematical model of Decline Curve Analysis is based on the following equation:

(1)	$\begin{array}{l}\displaystyle q(t)=q_0 \cdot \, t(a,m) + q_{\infty}\end{array}$

daily production rate

(2)	$\begin{array}{l}\displaystyle Q(t)=q_0 \cdot t(a,m) \cdot \frac{t^m}{a}\end{array}$

cumulative production $\begin{array}{l}Q(t)=\int_0^t q(t) dt\end{array}$

(3)	$\begin{array}{l}\displaystyle t(a,m) = t^{-m} \cdot \exp \left[ a \cdot \frac{t^{1-m} -1}{1-m} \right]\end{array}$

References

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