Fluid volume consisting of two or more contacting phases
In most practical cases in Petroleum Industry it will be a 3-phase fluid (water, oil and gas).
The total fluid density of multiphase fluid is given by following equation:
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\rho = \sum_\alpha s_\alpha \, \rho_\alpha |
where
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| \rho = \frac{m}{V} = \frac{1}{V} \, \sum_\alpha m_\alpha = \sum_\alpha \frac{m_\alpha}{V}= \sum_\alpha \frac{V_\alpha}{V} \cdot \frac{m_\alpha}{V_\alpha} = \sum_\alpha s_\alpha \, \rho_\alpha |
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The total fluid compressibility of multiphase fluid is given by following equation:
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c = \sum_\alpha s_\alpha \, c_\alpha |
where
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| c = \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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See also
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Natural Science / Physics / State of matter / Fluid
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid Analysis