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Definition
Primary Production Analysis is the specific workflow and report template on Primary Well & Reservoir Performance Indicators.
Application
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Limitations
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Technology
Primary Production Analysis is built around production data against material balance and require current FDP volumetrics, PVT and SCAL models.
The PRIME workflow has certain specifics for oil producers, water injectors, gas injectors and field/sector analysis.
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title | PRIME Metrics |
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Background = Structure
Bubbles = qo, qg , qw, qinj
Number = CurVRR, Pe
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Background = STOIIP
Bubbles = Qo, Qg , Qw, Qinj
Number = CumVRR, Pe
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Background = STOIIP & Structure
Bubbles = VRR
Number = Pe , Pem
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Left Axis = qo, qg , qw, qinj,
Rigth Axis = Yw, GOR, Pe , Np, Ninj
Hor Axis = Elapsed Time
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Decline Curve Analysis
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Left Axis = qo1, qliq1, qinj1,
Rigth Axis = Yw, GOR, VRR, Pe
Hor Axis = Elapsed Time
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Left Axis = qo1, qliq1, qinj1
Rigth Axis =Yw, GOR, VRR, Pe, Pem
Hor Axis = RF
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Left Axis = Yw, Ywm
Hor Axis = qliq
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Left Axis = GOR, GORgm
Hor Axis =qo
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Injection Efficiency Diagnostics
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Left Axis = PIR , PIRm
Hor Axis = Yw
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Left Axis = Pwf_IPR , Pwf_VLP
Hor Axis = qo
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Productivity Index Diagnostic
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Left Axis = JPI, JPIm
Hor Axis = dP = Pwf - Pe
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title | PRIME Mathematics |
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Cumulative Voidage Replacement Ratio
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{\rm VRR_{cum}} = \frac{B_w \, Q_{WI}}{B_w \, Q_W + B_o \, Q_O + B_g Q_G - B_g R_s Q_O} |
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Current Voidage Replacement Ratio
(month over month)
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{\rm VRR_{cur}} = \frac{B_w \, q_{WI}}{B_w \, q_W + B_o \, q_O + B_g (q_G - R_s Q_O)} |
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Recovery Factor
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{\rm RF} = \frac{Q_O}{V_{STOIIP}} |
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Watercut (production)
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{\rm Y_w} = \frac{q_W}{q_{LIQ}} |
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{\rm Y_{wm}} = \frac{1}{1 + \frac{K_{ro}}{K_{rw}} \cdot \frac{ \mu_w}{\mu_o} \cdot \frac{B_w}{B_o} } |
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s_w = s_{wi} + (1-s_{wi}-s_{or}) \cdot \rm RF |
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{\rm GOR} = \frac{q_g}{q_o} |
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{\rm GOR_m} = R_s + \frac{k_{rg}}{k_{ro}}
\cdot \frac{\mu_o}{\mu_g}
\cdot \frac{B_o }{B_g} |
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q_{LIQ} = q_O + q_W |
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PIR
Production Injection Ratio (production)
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{\rm PIR} = \frac{Q_O}{Q_{WI}} |
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{\rm PIR_m} = { \frac{1}{VRR} } \cdot { \frac{1-Y_w}{ Y_w + (1-Y_w) \bigg[ \frac{B_o}{B_w} - \frac{B_g}{B_w}(GOR - R_s) \bigg] } } |
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{\rm J_{O}} = \frac{q_O}{P_e - P_{wf}} {\quad \Rightarrow \quad} P_{wf} = P_e - \frac{1}{J_O} q_O |
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JPI
Total Productivity Index (production)
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{\rm J_t} = \frac{q_t}{P_e - P_{wf}} |
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{\rm J_{tm} } = \frac{2 \pi \sigma}{\ln \frac{r_e}{r_w} +0.5 + S} |
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{\rm j_t} = \frac{q_t}{h \cdot (P_e - P_{wf})} |
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{\rm j_{tm} } = \frac{2 \pi <k/\mu>}{\ln \frac{r_e}{r_w} +0.5 + S} |
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title | Derivation of PIR equation |
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VRR = \frac{B_w \, q_{WI}}{B_w \, q_W + B_o \, q_O + B_g \, [ q_G - R_s \, q_O] } = \frac{B_w \, q_{WI}}{B_w \, q_W + B_o \, q_O + B_g \, [ GOR - R_s] q_O } = \frac{B_w \, q_{WI}}{B_w \, q_W + [ B_o + B_g \, ( GOR - R_s) ] \, q_O } |
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VRR = \frac{q_{WI}}{q_W + \bigg[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( GOR - R_s) \bigg] \, q_O } |
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Y_w=\frac{q_W}{q_W + q_O} \rightarrow \frac{q_O}{q_W} = \frac{1-Y_w}{Y_w} \rightarrow q_W = \frac{Y_w}{1-Y_w} \, q_O |
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VRR = \frac{q_{WI}}{q_O} \cdot \frac{1}{\frac{Y_w}{1-Y_w} + \bigg[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( GOR - R_s) \bigg] } =
\frac{q_{WI}}{q_O} \cdot \frac{1-Y_w}{Y_w + (1-Y_w) \, \bigg[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( GOR - R_s) \bigg] } |
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PIR=\frac{q_O}{q_{WI}} = \frac{1}{VRR} \cdot \frac{1-Y_w}{Y_w + (1-Y_w) \, \bigg[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( GOR - R_s) \bigg] } |
Sample Case 1 – Waterflood Sector Analysis
Fig. 1.1. Production History Map | Fig. 1.2. Recovery Map |
Fig. 2.1. Cross-section & PLT, permeability, GOC, OWC | Fig. 2.2. Cross-section & PLT, STOIIP, GOC, OWC |
Fig. 3.1. Production History Graphs | Fig. 3.2. Production Forecasts |
Fig. 4.1. Recovery History | Fig. 4.2. Recovery Forecasts |
Fig. 5.1. WOR Diagnostic | Fig. 5.2. GOR Diagnostic |
Fig. 6.1. Specific Productivity Index Diagnostic | Fig. 6.2. Specific Injectivity Index Diagnostic |
Sample Case 2 – Oil Producer Analysis
Fig. 5.1. Watercut Diagnostic
Fig. 7 |
Sample Case 3 – Water Injector Analysis
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Injection Efficiency Diagnostics |
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
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