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

(1) q(t)=q_0 \cdot \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right)

where

q_0 = q(t=0)

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

D_{\infty}

decline decrement at long times (the higher the D the stronger is decline)


The cumulative production is then:

(2) Q(t)=\int_0^t q(t) dt



See Also


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


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