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LaTeX Math Block
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q(t)=q_{i} \,cdot \left[( 1+b \cdot D \cdot t \right])^{-1/b}

where

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bodyq_i = q(t=0)

Initial production rate of a well (or groups of wells)
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LaTeX Math Inline

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bodyD=-\frac{1}{q}\frac{dq}{dt}


decline decrement (the higher the

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bodyD
the stringer is decline)

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body0 \leq b \leq 1

defines the type of decline (see below)

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ExponentialHarmonicHyperbolicPower Loss
b = 1b = 00 < b < 1

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bodyD=D_{\infty} + \frac{t^{n-1}}{\tau^{n}}


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q(t)=q_{i} \exp \bigleft( [ -D \, t \big ]right)



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q(t)=\frac{q_{i}}{[1+D \, t]} 



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q(t)=\frac{q_{i}}{[ \cdot \left( 1+b \,cdot D \,cdot t] \right)^{\frac{1}{-1/b}}}



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q(t)=q_{i} \exp \bigleft( [ -D_{\infty}t- \biggleft(\frac{t}{ t/\tau} \biggright)^{n} \big]right)



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



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Q(t)=\frac{q_{i}}{D}\ln (\frac{q_{i}}{q(t)})



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Q(t)=\frac{q_{i}}{D \, (1-b)}(q_{i}^{1-b}-q(t)^{1-b})



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