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Exponential Production DeclineHyperbolic Production DeclineHarmonic Production Decline

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bodyb=0

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body0<b<1

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bodyb=1

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q(t)=q_N \cdot \exp \big[ -D_0 \cdot (t-t_N) \big]
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q(t) = q_N \cdot \left[ \frac{1+b \cdot D_0 \cdot t_N }
{ 1+b \cdot D_0 \cdot t  } \right]^{1/b}
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q(t) =  q_N \cdot  \left[ \frac{1+D_0 \cdot t_N }
{ 1+ D_0 \cdot t  } \right]
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Q(t) = Q_N + \frac{q_N - q(t)}{D \, tau_0}
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Q(t) = Q_N + \frac{q_0^b}{D_0 \, (1-b)} \left[ q_N^{1-b} - q^{1-b}(t) \right]
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Q(t) = Q_N + q_N \, (\frac{1+Dtau_0 \,+ t_N}{D_0}) \cdot \ln \frac{q_N}{q(t)}


The Exponential and Hyperbolic decline are applicable for Boundary Dominated Flow with finite reserves

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body--uriencoded--Q_%7B\rm max%7D \leq \infty
 while Harmonic decline is associated with production from the reservoir with infinite reserves
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body--uriencoded--Q_%7B\rm max%7D = \infty
.

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