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For the pressure diffusion with constant diffusion coefficients and linear homogeneous boundary conditions the pressure response 

LaTeX Math Inline
bodyp(t)
in one well to a complex flowrate history 
LaTeX Math Inline
bodyq(t)
in the same well honours the convolution equation:

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[ Well & Reservoir Surveillance ] [ Pressure Diffusion ] [ Pressure drawdown ]

[ Pressure Deconvolution  ] [ MDCV ]

[ Convolution @math ]

References

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Arthur Aslanyan, Mathematical aspects of Multiwell Deconvolution and its relation to Capacitance Resistance Model, arxiv.org/abs/2203.01319