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Q_{\rm max}=Q(t=\infty)=\int_0^\infty q(t) \, dt =\frac{q_0}{D \,cdot (1-b)} |
Arp's model splits into three types based on the value of
coefficient:
Exponential | Hyperbolic | Harmonic |
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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}=\frac{q_0}{D} |
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| Q_{\rm max}=\frac{q_0}{D \,cdot (1-b)} |
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| Q_{\rm max}=\infty |
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