Arp's mathematical model of Decline Curve Analysis is based on the following equation:
q(t)=q_0 \cdot \left( 1+b \cdot D \cdot t \right)^{-1/b} |
where
Initial production rate of a well (or groups of wells) | |
decline decrement (the higher the the stronger is decline) | |
defines the type of decline (see below) |
The cumulative production is then:
Q(t)=\int_0^t q(t) dt |
Arp's model splits into three types based on the value of coefficient:
Exponential | Hyperbolic | Harmonic | |||
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Arps decline only work for Boundary Dominated Flow.
Exponential decline has a physical meaning of declining production from finite drainage volume with constant BHP: .
Harmonic and Hyperbolic declines are empirical.
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
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