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Volumetric shares of petroleum fluids phases 

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bodyV_\alpha
 saturating effective pore volume 
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bodyV_\phi
:


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s_\alpha = \frac{V_\alpha}{V_\phi}

so that 



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\sum_\alpha V_\alpha = V_\phi

...



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\sum_\alpha s_\alpha = 1




For 3-phase Oil + Gas + Water fluid model this is going to be:

...