GLOSSARY

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LaTeX Math Inline
body\Sigma_k

well-reservoir contact of the 

LaTeX Math Inline
bodyk
-th well

LaTeX Math Inline
body--uriencoded--d %7B\bf \Sigma%7D

normal vector of differential area on the well-reservoir contact, pointing inside wellbore

LaTeX Math Inline
bodym_k(t)

mass rate at 

LaTeX Math Inline
bodyk
-th well 
LaTeX Math Inline
bodym_k(t) = \rho(p) \cdot q_k(t)


Then use the following equality:

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