For Compressibility of multiphase fluid in thermodynamic equilibrium at a given pressure pressure
and
temperature temperature the total fluid compressibility isis a linear sum of its single-phase components:
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c_f(p, T) = \sum_{\alpha} s_\alpha \cdot c_\alpha(p,T) |
where
saturationvolume share, subjected to | LaTeX Math Inline |
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| body | \sum_{\alpha} s_\alpha = 1 |
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= c_\alpha pressure and temperature
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The total multiphase volume: | LaTeX Math Block |
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| V = \sum V_\alpha |
where are volumes, occupied by individual phases.
The volume fraction of individual phase is defined as: | LaTeX Math Block |
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| s_\alpha = \frac{V_\alpha}{V} |
This leads to:
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| c_f = \frac{1}{V} \, \frac{\partial V}{\partial p} =
\frac{1}{V} \sum_\alpha \frac{\partial V_\alpha}{\partial p} =
\sum_\alpha \frac{V_\alpha}{V} \, \frac{1}{V_\alpha} \frac{\partial V_\alpha}{\partial p} =
\sum_\alpha s_\alpha \, c_\alpha |
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In most In ,ost popular practical case of a 3-phase fluid model this will be:
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c_f = cs_w \, sc_w + cs_o \, sc_o + cs_g \, sc_g |
where
mean
water phase,
oil phase and
gas phase.
See also
...
Compressibility (multi-phase fluid) Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics / Fluid Compressibility / Fluid Compressibility @model
