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( also called  unit-rate self-response )


In single-well deconvolution

Sandface pressure response 

LaTeX Math Inline
bodyp_u(t)

drop 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, \quad p_{u}(0) = 0

...


In multi-well deconvolution

Sandface pressure response 

LaTeX Math Inline
bodyp_{u,mm}(t)

...

drop  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_m = 1} >0, \quad p_{u,mk}(0) = 0



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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


See

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Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing / Unit-rate transient response (UTR)

Cross-well Transient Response (CTR) ]