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Power Law mathematical model of Decline Curve Analysis is based on the following equation:
| LaTeX Math Block |
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| q(t)=q_0 \cdot \exp \left[ -D(t) \cdot t \right]
= q_0 \cdot \exp \left[ -D_0 \cdot t- a \cdot t^{n+1} \right] |
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| LaTeX Math Block |
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| D(t) = D_0 + a \cdot (n+1) \cdot t^n |
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where
| Initial production rate of a well (or groups of wells) |
| initial production decline rate |
| model parameter characterizing production decline |
| model parameter characterizing production decline |
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle D(t) =- \frac%7Bdq%7D%7BdQ%7D |
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| production decline rate |
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle Q(t)=\int_0%5et q(t) dt |
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| cumulative production |
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