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Inverse problem to spatial superposition with:


Input


\{ q_k(t_j) \}_{k=1..N, \, j= 1..T}

flowrate variation history

\{ p_k(t_j) \}_{k=1..N, \, j= 1..T}

pressure variation history

Output


p_{umm}(\tau)

drawdown transient response (DTR)

p_{umk}(\tau)

cross-well transient response (CTR)



Input



 



Output









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