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LaTeX Math Block
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q = q_1 + q_2




LaTeX Math Block
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p_{wf} = p_e + q/J



LaTeX Math Block
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J = J_1 + J_2



LaTeX Math Block
anchorpe
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p_e = \Delta p_f + \frac{J_1 \cdot p_1 + J_2 \cdot (p_2- \rho \, g \, h)delta p_2)}{J_1 + J_2}



LaTeX Math Block
anchorpe
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p_e = \frac{J_1 \cdot p_1 + J_2 \cdot p_c}{J_1 + J_2}



LaTeX Math Block
anchorpc
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p_c = (1 + \frac{J_1}{J_2} \Delta p_f + p_2 - \delta p_2)


where

Well

LaTeX Math Inline
bodyq

total subsurface flowrate of the well

LaTeX Math Inline
bodyJ

total well productivity Index

LaTeX Math Inline
bodyp_e

apparent formation pressure of dual-layer formation

LaTeX Math Inline
bodyh

true vertical height between the layers tops

LaTeX Math Inline
body\rho

wellbore fuid density

LaTeX Math Inline
bodyg

gravity constant

LaTeX Math Inline
body\Delta p_f

fracture opening pressure
Layer #1

LaTeX Math Inline
body--uriencoded--p_%7Bwf%7D

bottom-hole pr4essure at Layer #1 top

LaTeX Math Inline
bodyq_1

total subsurface flowrate of the Layer #1

LaTeX Math Inline
bodyp_1

formation pressure of the Layer #1

LaTeX Math Inline
bodyJ_1

productivity Index of the Layer #1
Layer #2

LaTeX Math Inline
body--uriencoded--p_%7Bwf2%7D = p_%7Bwf%7D + \rho \, g\, h

bottom-hole pr4essure at Layer #2 top

LaTeX Math Inline
bodyq_2

total subsurface flowrate of the Layer #2

LaTeX Math Inline
bodyp_2

formation pressure of the Layer #2

LaTeX Math Inline
bodyJ_2

productivity Index of the Layer #2

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