where
LaTeX Math Inline |
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body | --uriencoded--s_{wi}%7Bwl%7D |
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is
initial connate water saturation which maybe
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or
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- like for example in petroleogenetic rocks.
The This model assumes no no free gas presence in pores.
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LaTeX Math Block |
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s = \frac{s_w - s_{wi}}{1-s_{wiwl}-s_{orw}} |
which changes between
for initial water saturation
LaTeX Math Inline |
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body | --uriencoded--s_w = s_%7Bwi%7D%7Bwl%7D |
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and
for maximum water saturation LaTeX Math Inline |
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body | --uriencoded--s_w = 1- s_%7Borw%7D |
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....
In this case equations
LaTeX Math Block Reference |
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and
LaTeX Math Block Reference |
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take form:
and fractional flow function is going to be:
LaTeX Math Block |
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| f_w = \frac{M_{rwo}}{M_{rwo} + M_{row}} = \frac{(s-s^*)^{n_{wo}}}{(s-s^*)^{n_{wo}} + g \cdot (1-s)^{n_{ow}}} |
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LaTeX Math Block |
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| \dot f_w = \frac{d f_w}{ds} = g \cdot (s-s^*)^{n_{wo}-1} \cdot
\frac{ n_{wo} (1-s)^{n_{ow}} + n_{ow} (s-s^*) (1-s)^{n_{ow}-1}}
{\left[ (s-s^*)^{n_{wo}} + g \cdot (1-s)^{n_{ow}} \right]^2}
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where
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g = \frac{M_{rowc}}{M_{rwoc}} \cdot \left( \frac{1-s_{wco}-s_{orw}}{1-s_{wl}-s_{orw}} \right)^{n_{wo}} |
See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Relative Permeability / RPM @model
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