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In many practical cases the pore compressibility can be considered as poorly dependent independent on reservoir pressure variation:
LaTeX Math Inline |
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body | c_r\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 is usually usually relates pore compressibility
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 .
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| Name/Author | Scope |
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LaTeX Math Block |
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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) } |
LaTeX Math Block |
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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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See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Geomechanical Rock Modelling / Pore compressibility