@wikipedia
Arp's Power Law mathematical model of Decline Curve Analysis is based on the following equation:
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q(t)=q_{i} \cdotexp \left( 1+b \cdot D \cdot t-D_{\infty}t- \left( t/\tau \right)^{-1/b}n} \right) |
where
| Initial production rate of a well (or groups of wells) |
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| body | D=-\frac{1}{q}\frac{dq}{dt}_{\infty} |
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decline decrement at long times (the higher the the stringer stronger is decline) |
| defines the type of decline (see below) |
The cumulative production is then:
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Q(t)=\int_0^t q(t) dt |
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| body | D=D_{\infty} + \frac{t^{n-1}}{\tau^{n}} |
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
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