Compressibility of multiphase fluid in thermodynamic equilibrium at a given pressure
and
temperature is a
simple 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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The total multiphase volume: |
| cfc_fs_w , c_w + s_o \, c_o + s_g \, c_g |
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| 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_t1t(s,P) c_r + c_w s_w + c_o s_o + c_g s_g + s_o [ R_{sp} + (c_r + c_o) R_{sn} ] + s_g [ R_{vp} + R_{vn}(c_r + c_g) ] |
See Non-linear multi-phase pressure diffusion @model for derivation of
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.See also
[Multi-phase pressure diffusion][Compressibility] [Single-phase fluid compressibility]
\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 popular practical case of a 3-phase fluid model this will be:
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c_f = s_w \, c_w + s_o \, c_o + s_g \, c_g |
where
mean water phase, oil phase and gas phase.
See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics / Fluid Compressibility / Fluid Compressibility @model[Compressibility (multi-phase fluid) @model]
