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LaTeX Math Block
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q(t)=q_0 \exp \left( -D \, t \right)



LaTeX Math Block
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Q(t)=\frac{q_0-q(t)}{D}



LaTeX Math Block
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Q_{\rm max}=\frac{q_0}{D}


where

LaTeX Math Inline
bodyq_0 = q(t=0)

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

LaTeX Math Inline
bodyD

model parameter which in this specific case coincides with a constant Production decline rate

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

cumulative production by the time moment 

LaTeX Math Inline
bodyt

LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D =\int_0%5e%7B\infty%7D q(t) \, dt

Estimated Ultimate Recovery (EUR)


It can be applied to any fluid production: 
water, oil or gas. 

Exponential Production Decline has a physical meaning of producing from a finite-volume reservoir with finite reserves 

LaTeX Math Inline
body--uriencoded--Q_%7B\rm max%7D
under Pseudo Steady State (PSS) conditions, resulting in constant Production decline rate 
LaTeX Math Inline
bodyD = \rm const
.

See Also

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Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis

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