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| -phase saturation, subjected to | LaTeX Math Inline |
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| body | \sum_{\alpha} s_\alpha = 1 |
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| borderColor | wheat |
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| borderWidth | 10 |
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The total multiphase volume: | LaTeX Math Block |
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| V_f = \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_f} |
This leads to:
| LaTeX Math Block |
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| c_f = \frac{1}{V_f} \, \frac{\partial V_f}{\partial p} =
\frac{1}{V_f} \sum_\alpha \frac{\partial V_\alpha}{\partial p} =
\sum_\alpha \frac{V_\alpha}{V_f} \, \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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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
