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Implication that pressure 

LaTeX Math Inline
bodyp(t, {\bf r})
 at any point
LaTeX Math Inline
body{\bf r}
 of a porous reservoir is a linear sum of pressure responses 
LaTeX Math Inline
body\delta p_k(t, {\bf r})
to individual rate variations 
LaTeX Math Inline
bodyq_k(t)
 in all wells 
LaTeX Math Inline
bodyk
 connected wells connected to this reservoir:

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anchorSP
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p(t, {\bf r}) = p_i + \sum_k \delta p_k(t, {\bf r}) = p_i + \sum_k  \int_0^t p_{uk}(t-\tau, {\bf r}) \, dq_k(\tau)

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