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For multiphase fluid in thermodynamic equilibrium at a given pressure 

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bodyp
 and temperature 
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bodyT
  the total fluid compressibility is:

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c_f(p, T) = \sum_{\alpha} s_\alpha c_\alpha

where

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bodys_\alpha

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body\alpha
-phase saturation, subjected to
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body\sum_{\alpha} s_\alpha = 1

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bodyc_\alpha = c_\alpha(p, T)

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body\alpha
-phase compressibility as function of pressure 
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bodyp
 and temperature 
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bodyT
 



In ,ost popular practical case of 3-phase fluid model this will beIn case the fluid  phases have the same pressure the compressibility of multi-phase fluid can be expressed via compressibilities of single-phase fluids as

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c_f(p) = c_w(p) \, s_w + c_o(p) \, s_o + c_g(p) \, s_g

where 

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body{w, \, o, \, g}
 mean water phase, oil phase and gas phase.


See also

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Compressibility (multi-phase fluid) @model

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