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A specific type of mathematical model of Decline Curve Analysis, based on the following equation for Production rate

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bodyq(t)

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q(t) = q_0 \cdot \left( 1+b \cdot D_0 \cdot t \right)^{-1/b}

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bodyq_0 = q(t=0)

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

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bodyD_0 > 0

initial Production Decrement (the higher the

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bodyD_0
 is the stronger is decline)

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body0 \leq b \leq 1

defines the type of decline (see below)

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


The Production Decrement is given by value can be a given an explicit form:

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D(t) = - \frac{dq}{dQ} = \frac{D_0}{1+ b \cdot D_0 \cdot t}


The Recovery Pace is the inverse value to Production Decrement:

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