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LaTeX Math Block
anchorqup
alignmentleft
q_1^{\uparrow}(t)=J \cdot \left( p_e(t) - p_{wf}(t) \right)

and as such depends on completion/lift settings  settings (defining 

LaTeX Math Inline
body--uriencoded--p_%7Bwf%7D(t)
) and how formation pressure is maintained 
LaTeX Math Inline
bodyp_e = p_e(t)
 over time.

It keeps declining due to to the offtakes:

LaTeX Math Block
anchorpeup
alignmentleft
p_e(t) = p_e[q_1^{\uparrow}(t), q_2^{\uparrow}(t), q_3^{\uparrow}(t), \dots]

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The combination of 

LaTeX Math Block Reference
anchorqup
LaTeX Math Block Reference
anchorpeup
 and 
LaTeX Math Block Reference
anchorpedown
 lead to the correlation between production raterates, injection rates and bottomhole pressure variation.

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  • Create short-term prediction model on production response to various multi-well production regimes

  • Compare the well dynamics and and cross-well connectivity with expectations and identify the candidates for drilling, workover or additional well surveillance

  • Assess dynamic reservoir properties


Outputs

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Production History



Simulated total subsurface flowrate history,

LaTeX Math Inline
bodyq_t(t)

Simulated BHP history,

LaTeX Math Inline
body--uriencoded--p_%7Bwf%7D(t)

Simulated formation pressure history,

LaTeX Math Inline
bodyp_e(t)

Simulated Productivity Index history,

LaTeX Math Inline
bodyJ_t(t)

Simulated Cross-well interference history

LaTeX Math Inline
body--uriencoded--p_%7Bk \rightarrow m%7D(t)

Production Forecast

Rate forecast under Pressure Control regime, 

LaTeX Math Inline
body--uriencoded--p_k(t), \%7B q_m(t) \%7D \rightarrow q_k(t)

BHP forecast under Liquid Control regime, 

LaTeX Math Inline
body--uriencoded--\%7B q_m(t) \%7D \rightarrow p_%7Bwf, \, k%7D(t)

Formation pressure forecast under Liquid Control regime, 

LaTeX Math Inline
body--uriencoded--\%7B q_m(t) \%7D \rightarrow p_%7Be, \, k%7D(t)

Diagnostic Metrics









Cross-well interference map
Unit-rate Transient Response Matrix (UTRM)
Unit-rate Transient Response Spider (UTRS)
Material Balance Pressure Plot
Inflow Performance Relationship (IPR)
Cumulative Productivity Plot (Hall Plot)
J-plots
WOR diagnostics
GOR diagnostics
Primary Well & Reservoir properties


Potential drainage volume
Current dynamic drainage volume
Secondary Well & Reservoir properties




Apparent transmissibility
Apparent skin-factor 
Fracture half-length
Dynamic fracture pressure threshold


Inputs

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