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SINTEF ICT 1
Multi-segment wells and well modeling
Kai Bao
Department of Applied Mathematics, [email protected]
OPM meeting, Oslo, June 1st, 2016
SINTEF ICT 2
Outline
■ Introduction to well modeling
■ Multi-segment wells
■ Re-factoring of well models
■ Summary
SINTEF ICT 3
A typical reservoir simulation procedure
Reservoir WellsReservoir Wells
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SINTEF ICT 5
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Connections
BHP reference depth
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Well related equations
■ For each well we have four primary variables (threephase blackoil model)
■ Mass balance equations
■ Well control equation– BHP control
– Rate control (oil)
Inflow
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Inflow equations
Rate, phase, connection
Connection transmissibility
Mobility
Nodal pressure BHP
Well-bore hydrostatic pressure head
between connection and BHP
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Some of the advantages and limitations
■ Advantages– Relatively simple
– Hydrostatic pressure drop between connections
– Crossflow is described
■ Limitations– A single set of variables for the whole wellbore
– Multilateral wells
– Horizontal wells • friction pressure gradient
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Outline
■ Introduction to well modeling
■ Multi-segment wells
■ Re-factoring of well models
■ Summary
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An example of multilateral well
Part of simulation grid
Well head
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Multi-segment well representationsegment node
flow path
a segment
Top segment
branch junction
Part of simulation grid
BHP reference
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Segment structuresegment node
flow path
a segment
Top segment
outlet segment
Part of simulation grid
BHP reference
inlet segments
Well head
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Well related equations
■ For each segment, we have four primary variables
■ Mass balance equations– For each segment, each phase
Change of phase p in the segment
flow rate from inlet segments
inflow rate from the reservoir
through connections
flow rate towards the outlet segment
inlet segments
outlet segment
Inflow
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Inflow equations
Rate, phase, connection
Connection transmissibility
Mobility
from Eclipse Technical Description
Pcell
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■ Options to calculate the pressure drop– Homogeneous flow model– Built-in 'drift flux' slip model– Pre-calculated Vertical Flow Performance (VFP) table
Pressure equation for each segment
PP-1
hydrostatic pressure drop
friction pressure drop
acceleration pressure drop
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Pressure (control) equation for the top segment
■ The pressure of the top segment is BHP for the well
■ The rates of the top segment are the well rates
■ BHP control
■ Rate control (oil)
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Example 1
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Example 2
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What we can get with multi-segment wells
■ More detailed and fexible well-bore simulation
■ Horizontal and multilateral wells
■ Advanced inflow control devices
■ Pipeline networks
■ Fracturing
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Outline
■ Introduction to well modeling
■ Multi-segment wells
■ Re-factoring of well models
■ Summary
SINTEF ICT 22
Originally
BlackoilModel
BlackoilPolymerModel
BlackoilModelBase
Reservoir Wells
Polymer
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Originally
BlackoilModel
BlackoilPolymerModel
BlackoilModelBase
BlackoilMultisegmentModel
Reservoir Wells
PolymerMulti-segment
Wells
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Originally
BlackoilModel
BlackoilPolymerModel
BlackoilModelBase
BlackoilMultisegmentModel
BlackoilPolymer with Multisegment Wells
Reservoir Wells
PolymerMulti-segment
Wells
PolymerMulti-segment Wells
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BlackoilPolymerModel
BlackoilModelBase
Reservoir
Polymer
WellModel
StandardWells
Multisegment Wells
Now
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BlackoilPolymerModel
BlackoilModelBase
Reservoir
Polymer
WellModel
StandardWells
Multisegment Wells
BlackoilModelBlackoilMultisegmentModel
Now
SINTEF ICT 27
BlackoilPolymerModel
BlackoilModelBase
Reservoir
Polymer
WellModel
StandardWells
Multisegment Wells
BlackoilModelBlackoilMultisegmentModel
BlackoilPolymer with StandardWells
BlackoilPolymer with Multisegment Wells
Now
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Multi-segment wells + polymer
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Multi-segment well + polymer
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Summary
■ Conventional well model
■ Multisegment wells
■ Refactoring
■ Some features are still yet to be developed– VFP, drift-flux, ICD, etc.
■ Major efforts have been focused on framework development
■ A solid foundation for future development
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Thank You
