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LaTeX Math Block
anchor6YMFZ
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q(t)=q_0 \cdot \exp \left[ -D(t) \cdot t \right] 
= q_0 \cdot \exp \left[ - (D_0 \cdot+ t-  a \cdot t^{n+1} ) \cdot t \right]



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


where

LaTeX Math Inline
bodyq_0 = q(t=0)

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

LaTeX Math Inline
bodyD_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

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