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LaTeX Math Inline
bodyq_0 = q(t=0)

Initial production rate of a well (or groups of wells)

LaTeX Math Inline
body

D_0 > 0

LaTeX Math Inline
bodya

model parameter characterizing production decline

LaTeX Math Inline
bodyn

model parameter characterizing production decline

LaTeX Math Inline
body--uriencoded--\displaystyle D(t) =- \frac%7Bdq%7D%7BdQ%7D

Production decline rate

LaTeX Math Inline
body--uriencoded--\displaystyle Q(t)=\int_0%5et q(t) dt

cumulative production

LaTeX Math Inline
body--uriencoded--%7B\rm ANN%7D(Q)

artificial neural-network regression of  Production decline rate 

LaTeX Math Inline
bodyD
 on cumulative production 
LaTeX Math Inline
bodyQ


DCA ANNDCA Power Law decline is an empirical correlation for production from both finite-reserves 

LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D \leq \infty
or infinite-reserves 
LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D = \infty
 reservoir. 

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