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Equation, expressing that total pressure  p(t, {\bf r}) in any point of a reservoir  {\bf r} is a sum of pressure responses  \delta p_k(t, {\bf r}) to individual rate variations  q_k(t) all offset wells  k:

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(\tau)


Applies to single-layer linear diffusion model

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