In many practical cases the pore compressibility can be considered as independent on reservoir pressure variation:
LaTeX Math Inline |
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body | c_\phi(p) = c_r\phi= \rm const |
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.But in case the reservoir pressure is changing substantially one may need to account for the effect it takes on pore compressibility.
The model usually relates Correlation between pore compressibility
at to a given pressure
and
initial pore compressibility LaTeX Math Inline |
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body | --uriencoded--c_{ri}%7B\phi i%7D |
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at
initial formation pressure :.
| Correlation | Name/Author | Scope |
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anchor | Dobrynin |
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alignment | left |
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| \displaystyle c_r\phi(p) = c_{ri\phi i} \cdot \frac{ \ln \left( \frac{ p_n }{p_{\rm max}} \right) }{ \ln \left( \frac{p_{ni}}{p_{\rm max}} \right) } |
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| p_n = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p) |
LaTeX Math Block |
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| p_{ni} = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p_i) |
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Dobrynin | Wide pressure range: pmin = 1 MPa < p < pmax = 200 MPa |
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LaTeX Math Block Reference |
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See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Geomechanical Rock Modelling / Pore compressibility