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The decomposition algorithm is based on the minimisation of correlation functional
between generating well pressure variation
and pressure trend
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| body | \delta p_{R,{\rm tr}}(t) |
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at receiving well after deducting the simulated pressure pulse-code response:
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X[p_{uGG}, p_{uGR}] = \left < | \delta p_{R,{\rm tr}}(t) | , \, |\delta p_G(t)| \right > \rightarrow \min |
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p_G(t) = p_{G,{\rm tr}}(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,{\rm tr}}(t) - \delta p_R(t), \delta p_R(t) = \int_0^t p_{uGR}(t-\tau) \, dq_G(\tau) |
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