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Specific implementation of pressure spatial decomposition based on recognising the time pattern of flowrate variation pulse sequence in pressure response.


It constitutes the key interpretation procedure for PCT.


The decomposition algorithm is based on the minimisation of correlation functional between generating well pressure variation  p_k(t) and delta pressure at receiving well after deducting the simulated pressure pulse-code response:

(1) X[p_{umk}] = \left < p_m(t) - p_{mi} - \int_0^t p_{umk}(t-\tau) \, dq_k(\tau) , \, p_k(t) \right > \rightarrow \min







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