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Reservoir flow with constant total compressibility: 

LaTeX Math Inline
bodyc_t(p)= c_t = \rm const


Reservoir flow depends both on Fluid Compressibility 

LaTeX Math Inline
bodyc_r
 and Pore Compressibility 
LaTeX Math Inline
bodyc_f
:


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c_t = c_r + c_f

and thus can have non-zero compressibility even for incompressible fluids.

See also

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Physics /  Fluid Dynamics / Percolation