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The decomposition algorithm is based on the minimisation of correlation functional between generating well pressure variation 

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body\delta p_G(t)
and delta pressure pressure trend 
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body\delta p_{R,tr}(t)
at receiving well after deducting the simulated pressure pulse-code response:

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p_G(t) = p_{G,0tr}(t) - \delta p_G(t), \quad \delta p_G(t) = \int_0^t p_{uGG}(t-\tau) \, dq_G(\tau)

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p_R(t) = p_{R,tr}(t) - \delta p_R(t), \delta p_R(t) -= \int_0^t p_{uGR}(t-\tau) \, dq_G(\tau)

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