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LaTeX Math Block |
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| q(t)=q_0 \cdot \exp \left[ -D_0{\infty} \cdot \left( t+ \frac{a \cdot t^{n+1}}{n+1} -n}\right) \right] |
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LaTeX Math Block |
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| D(t) = D_0{\infty} \cdot ( 1 + a\cdot t^n (1-n) \cdot t^{-n} ) |
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where
| Initial production rate of a well (or groups of wells) |
LaTeX Math Inline |
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body | --uriencoded--D_0 %7B\infty%7D > 0 |
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| initial the apex value of Production Decrement at infinite time |
| model parameter characterizing deceleration of production decline |
| model parameter characterizing characterizing deceleration of production decline |
LaTeX Math Inline |
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body | --uriencoded--\displaystyle D(t) =- \frac%7Bdq%7D%7BdQ%7D |
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| Production Decrement (the higher the the stronger is decline) |
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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DCA Power Law decline is an empirical correlation for production from both finite-reserves LaTeX Math Inline |
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body | --uriencoded--Q_%7B\rm max%7D \leq \infty |
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or infinite-reserves LaTeX Math Inline |
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body | --uriencoded--Q_%7B\rm max%7D = \infty |
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reservoir.
Alternative form
The original form of DCA Power Law decline was developed as correction of Arps for tight gas and shales
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LaTeX Math Block |
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q(t)=q_0 \cdot \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right) |
where
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
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