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LaTeX Math Block
anchor23CBN
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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 = \frac{J_1 \cdot p_1 + J_2 \cdot p_2}{J_1 + J_2}


where

LaTeX Math Inline
bodyq

total subsurface flowrate of the well

LaTeX Math Inline
bodyJ

total well productivity Index

LaTeX Math Inline
bodyp_e

apparanet formation pressure of dual-layer formation

LaTeX Math Inline
bodyq_1

total subsurface flowrate of the Layer #1

LaTeX Math Inline
bodyp_

2

1

formation pressure of the Layer #1

LaTeX Math Inline
bodyJ_1

productivity Index of the Layer #1

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


The above equations are valid for both producers and injectors.

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