In many practical cases the pore compressibility can be considered as independent on reservoir pressure variation:
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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 pore compressibility
to a given pressure and initial pore compressibility | LaTeX Math Inline |
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| body | --uriencoded--c_%7B\phi i%7D |
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at initial formation pressure ....
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| anchor | Dobrynin |
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| alignment | left |
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| \displaystyle c_ |
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r (, 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) |
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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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where is initial formation pressure and | LaTeX Math Inline |
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bodyc_{ri} | is initial formation compressibility| LaTeX Math Block |
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| anchor | pminmax |
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p_{\rm min} = 151 \, {\rm psi}, \quad p_{\rm max} = 30,000 \, {\rm psi} |
Reference
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See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Geomechanical Rock Modelling / Pore compressibility
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