Introduction to nodal analysis
Instructional Objectives
1. Explain the concept of Nodal Analysis. 2. List 4 segments in the reservoir/well system where pressure loss occurs. 3. Define the following terms: inflow performance curve, outflow performance curve, system graph, solution node.
Pressure Losses in Well System
ΔP4 = (Pwh - Psep) Pwh Psep
Liquid Gas
Sales line Stock tank
ΔP1= Pr - Pwfs ΔP3 = Pwf - Pwh ΔP2 = Pwfs - Pwf ΔP3 = Pwf - Pwh ΔP4 = Pwh - Psep ΔPT = Pr - Psep
= Loss in reservoir = Loss across completion = Loss in tubing = Loss in flowline = Total pressure loss
Pwf
Pwfs
Pr
Pe
ΔP1 = (Pr - Pwfs) ΔP2 = (Pwfs - Pwf)
Adapted from Mach et al, SPE 8025, 1979.
Nodal Analysis
ΔP4 = (Pwh - Psep) Pwh Psep
Liquid Gas
Sales line Stock tankΔP1 = Pr - Pwfs ΔP3 = Pwf - Pwh ΔP2 = Pwfs - Pwf ΔP3 = Pwf - Pwh ΔP4 = Pwh - Psep ΔPT = Pr - Psep
= Loss in reservoir = Loss across completion = Loss in tubing = Loss in flowline = Total pressure loss
Pwf
Pwfs
Pr
Pe
ΔP1 = (Pr - Pwfs) ΔP2 = (Pwfs - Pwf)
Adapted from Mach et al, SPE 8025, 1979.
Inflow Performance Curve
3500
Inflow (Reservoir) Curve Flowing bottomholepressure, psi
3000
2500
2000
1500
1000
500
0 0 500 1000 1500 2000 2500 3000 3500 4000 4500
Production rate, STB/D
Outflow Performance Curve
3500
Flowing bottomhole pressure, psi
3000
Outflow (Tubing) Curve
2500
2000
1500
1000
500
0 0 500 1000 1500 2000 2500 3000 3500 4000 4500
Production rate, STB/D
System Graph
3500
Flowing bottomholepressure, psi
3000
Inflow (Reservoir) Curve Outflow (Tubing) Curve
2500
1957.1 psi
2000
1500
1000
500
2111 STB/D
0 0 500 1000 1500 2000 2500 3000 3500 4000 4500
Production rate, STB/D
Solution Node At Wellhead
ΔP4 = (Pwh - Psep) Pwh Psep
Liquid Gas
Sales line Stock tank
ΔP1 = Pr - Pwfs ΔP3 = Pwf - Pwh ΔP2 = Pwfs - Pwf ΔP3 = Pwf - Pwh ΔP4 = Pwh - Psep ΔPT = Pr- Psep
= Loss in reservoir = Loss across completion = Loss in tubing = Loss in flowline = Total pressure loss
Pwf
Pwfs
Pr
Pe
ΔP1 = (Pr - Pwfs) ΔP2 = (Pwfs - Pwf)
Adapted from Mach et al, SPE 8025, 1979.
System Graph - Wellhead Node
1600 1400
Inflow Curve Outflow Curve
Flowing wellhead pressure, psi
1200 1000 800
500 psi
600 400 200 0 0 500 1000 1500 2000 25003000
2050 STB/D
Production rate, STB/D
Nodal Analysis : Uses
• Estimation of Reservoir Parameters e.g
Skin Permeability Reservoir Pressure Note : Non unique solutions unless only one unknown
• Evaluation of Potential Stimulation Treatments
Primarily through reduction in skin Parameter sensitivity studies are important
Nodal Analysis
Two Main Components
• Inflow PerformanceCurve/Relationship (IPR) Oil or Gas Flowrate vs Bottomhole Flowing Pressure Ordinate Origin = Reservoir Pressure (Δp = 0 Abscissa Intercept = Absolute Open Flow Potential (Δp = pr • Outflow Curve (Tubing Intake) Function of Hydrostatic, Friction & Acceleration Components Curves Shifted by Wellhead Pressure & Artificial Lift • Intercept of Curves Gives FBHP (psi) & Flowrate q = Max) q = 0)
NodalAnalysis
Reservoir Pressure Inflow Pressure at Node Operating Point
Pressure PWF
Outflow
Operating Flowrate
Flowrate (stb/d)
The Inflow Performance Relationship Dependent On:
• Fluid Properties • Oil – Viscosity, Gas oil Ratio, Bubble Point – Formation Volume Factor, Density • Gas – Viscosity, Z Factor, Compressibility – Density • Inflow Correlation Used e.g. Oil - Darcy, Vogel,Gas - Jones, Darcy • Well Geometry i.e. Vertical or Horizontal • Formation Properties • Reservoir Pressure • Permeability • Skin (Includes deviation, perforation, damage etc) • Net Pay Height
Effect of Skin on IPR
Pressure at Node
Inflow (IPR) Outflow SKIN 10 5 0 -1 -3
Flowrate
ln re +S rw Note : Log effect
qo α 1/
Effect of Pressure Depletion on IPR
Reservoir with no...
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