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In single-well deconvolution: Sandface pressure response drop 

LaTeX Math Inline
bodyp_u(t)>0
 to the constant unit-rate production 
LaTeX Math Inline
bodyq(t)=1
 :

LaTeX Math Block
anchor1
alignmentleft
p_u(t) = p_{\rm wf}(0) - p_{\rm wf}(t)|_{q = 1} >0


In multi-well deconvolution: Sandface pressure response drop 

LaTeX Math Inline
bodyp_{u,mm}(t) > 0
 in   in well "m" to the constant unit-rate production 
LaTeX Math Inline
bodyq_m=1
 from the same well "m":

LaTeX Math Block
anchor9ZA0I
alignmentleft
p_{u,mm}(t) = p_{{\rm wf}, mm}(0) -p_{{\rm wf}, mm}(t)|_{q = 1} >0

By definition:

LaTeX Math Block
anchor5ZLOE
alignmentleft
p_{u}(0) = 0 \ , \ p_{u,mk}(0) = 0



Fig. 1. A sample of typical DTR (pressure drop P in blue and log-derivative P' in red) presented on PTA type-library log-log plot

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