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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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where
| Initial production rate of a well (or groups of wells) |
| initial production decline rate |
| 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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Alternative form
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The original form was:
| LaTeX Math Block |
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| q(t)=q_0 \cdot \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right) |
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where
| decline decrement at long times (the higher the the stronger is decline) |
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
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