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ExponentialHyperbolicHarmonic

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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_0 \exp \left( -D \, t \right)



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



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q(t)=\frac{q_0}{1+D \, t} 



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Q(t)=\frac{q_0-q(t)}{D}



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Q(t)=\frac{q_0}{D \, (1-b)} \, \left[ 1- \left( \frac{q(t)}{q_0} \right)^{1-b}  \right]



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Q(t)=\frac{q_0}{D} \, \ln \left[ \frac{q_0}{q(t)} \right]



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Q_{\rm max}=Q(t=\infty)=\frac{q_0}{D}



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Q_{\rm max}=Q(t=\infty)=\frac{q_0}{D \, (1-b)}



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Q_{\rm max}=Q(t=\infty)=\infty


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 of infinite reserves
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body--uriencoded--Q_%7B\rm max%7D = \infty
.

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