Petroleum Reservoir - Well Test Analysis

In the analysis of well test data,

Is it fair - to extend the applicability of the total compressibility associated with the diffusivity constant

in describing the diffusivity equation (in radial fluid flow)

in a porous medium

to describe the multi-phase fluid flow?

Does it NOT strictly represent

the compressibility of any immobile fluid

that may be present in the reservoir

along with the (single-phase) fluid

that is flowing within the reservoir?

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