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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 model


Inputs & Outputs

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InputsOutputs

LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
bodyp(t,r)

reservoir pressure

LaTeX Math Inline
body{p_i}

initial formation pressure

LaTeX Math Inline
body{p_{wf}(t)}

well bottomhole pressure

LaTeX Math Inline
body\sigma

transmissibility,

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



LaTeX Math Inline
body\chi

pressure diffusivity,

LaTeX Math Inline
body\chi = \frac{k}{\mu} \, \frac{1}{\phi \, c_t}



LaTeX Math Inline
bodyS

skin-factor

LaTeX Math Inline
bodyr_w

wellbore radius

LaTeX Math Inline
bodyr_e

drainage radius (could be infinite)


Expand
titleDetailing


LaTeX Math Inline
bodyk

absolute permeability

LaTeX Math Inline
bodyc_t

total compressibility,

LaTeX Math Inline
bodyc_t = c_r + c

LaTeX Math Inline
bodyh

effective thickness

LaTeX Math Inline
body{c_r}

pore compressibility

LaTeX Math Inline
body\mu

dynamic fluid viscosity

LaTeX Math Inline
bodyc

fluid compressibility

LaTeX Math Inline
body{\phi}

porosity


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