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The generator's flowrate history 

LaTeX Math Inline
body q_G(t)

, generator's wellbore pressure history 

LaTeX Math Inline
body p_{G,{\rm tr}}(t)

  and receiver's wellbore pressure history 

LaTeX Math Inline
body p_{R,{\rm tr}}(t)

  are assumed to be known for the whole period of the test. 

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The pressure trends at generator 

LaTeX Math Inline
body p_{G,{\rm tr}}(t)

 and receiver 

LaTeX Math Inline
body p_{R,{\rm tr}}(t)

 may have unknown origin but in order for decomposition to work they should have minimum correlation with generating well pressure flowrate variation 

LaTeX Math Inline
body \delta pq_G(t)

. In terms of spectral analysis this means that pressure trend 's spectrum contains minimum overlap with spectrum of pressure flowrate variation 

LaTeX Math Inline
body \delta pq_G(t)

 at generator.The contamination components of the trends should either have

This particularly means that pressure trends at generating and receiving wells may contain:

• low frequencies (created by monotonous

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• activities of distant wells), which are lower than frequency range of the generating well flow variation 

  LaTeX Math Inline
  body q_G(t)

or

• high frequencies (created by lift instability at generating/receiving well), which are higher than frequency range of the generating well flow variation 

  LaTeX Math Inline
  body q_G(t)

If pressure .If for some reasons the trends contain components correlated with 

LaTeX Math Inline
body \delta pq_G(t)

 (for example receiving well or distant wells have been synchronously varying the rates with generating well) then decomposition is not unique and should not be considered.

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