@wikipedia
One of mathematical models of Decline Curve Analysis based on the following equations:
| LaTeX Math Block |
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| q(t)=q_0 \cdot \exp \left[ -D_0 \cdot \left( t+ \frac{a \cdot t^{n+1}}{n+1} \right) \right] |
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| LaTeX Math Block |
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| D(t) = D_0 \cdot ( 1 + a\cdot t^n ) |
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where
| Initial production rate of a well (or groups of wells) |
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| 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 |
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.
The original form was developed as correction of Arps for tight gas and shales
:
| 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
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
[ DCA Arps @model ] [ Production Decrement ]
Reference
