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Exponential Production Decline | Hyperbolic Production Decline | Harmonic Production Decline |
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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)} |
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The Exponential and Hyperbolic decline are applicable for Boundary Dominated Flow with finite reserves
LaTeX Math Inline |
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body | --uriencoded--Q_%7B\rm max%7D \leq \infty |
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while
Harmonic decline is associated with production from the reservoir with infinite reserves
LaTeX Math Inline |
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body | --uriencoded--Q_%7B\rm max%7D = \infty |
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