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where 

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


Some applications (like multi-phase pressure diffusion) account for the impact of phase exchange on the total compressibility which require some corrections to equation 

LaTeX Math Block Reference
anchorcf
:

LaTeX Math Block
anchorc_t1
alignmentleft
c_t(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

LaTeX Math Block Reference
anchorc_t1
.

See also

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[Compressibility] [Single-phase fluid compressibility]

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