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In many practical cases the Radial Flow Pressure Diffusion is getting 

reservoir fluid flow created by well is getting aligned with a radial direction towards or away from well.

This type of reservoir fluid flow is called radial fluid flow and corresponding pressure diffusion models provide a diagnostic basis for pressure-rate base reservoir flow analysis.

The radial flow can be infinite acting or boundary dominated or transiting from one to another.

Although the actual reservoir fluid flow may not have an axial symmetry around the well-reservoir contact or around reservoir inhomogeneities (like boundary and faults and composite areas) but still  in many practical cases the long-term correlation between the flowrate and bottom-hole pressure response can be approximated by a radial flow pressure modelevolving towards pressure stabilization and can be efficiently analyzed using the steady-state flow model.


Inputs & Outputs

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InputsOutputs

LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
bodyp(r)

reservoir pressure

LaTeX Math Inline
body{p_i}

initial formation pressure

LaTeX Math Inline
bodyp_{wf}

well bottomhole pressure

LaTeX Math Inline
body\sigma

transmissibility,

LaTeX Math Inline
body\sigma = \frac{k \, h}{\mu}



LaTeX Math Inline
bodyS

skin-factor

LaTeX Math Inline
bodyr_w

wellbore radius

LaTeX Math Inline
bodyr_e

drainage radius

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