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The decomposition algorithm is based on the minimisation of correlation functional 

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bodyX
 between generating well pressure variation 
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body\delta p_G(t)
and pressure trend 
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bodyp_{R,{\rm tr}}(t)
at receiving well after deducting the simulated pressure pulse-code response:

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anchorTPTM2puGG
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X[p_{uGG}] = \left < | p_{G,{\rm tr}}(t) | , \, |\delta p_G(t)| \right > \rightarrow \min


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anchorpuGR
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X[p_{uGR}] = \left < | p_{R,{\rm tr}}(t) | , \, |\delta p_G(t)| \right > \rightarrow \min

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