# Gas-Lift Optimization in Satellite Wells ... OptIntro 1/31 Gas-Lift Optimization in Satellite Wells...

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OptIntro 1 / 31

Gas-Lift Optimization in Satellite Wells

Eduardo Camponogara

Department of Automation and Systems Engineering Federal University of Santa Catarina

October 2016

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Summary

Motivation

Problem Formulation

Santos Multi-Reservoir Production System

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Motivation

Summary

Motivation

Problem Formulation

Santos Multi-Reservoir Production System

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Motivation

Motivation: production from mature fields

Young oil field

OptIntro 5 / 31

Motivation

Motivation: production from mature fields

Mature oil field (without artificial lifting)

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Motivation

Motivation: production from mature fields

Mature oil field (with artificial lifting)

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Motivation

Motivation: production from mature fields

Gas-lift system

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Motivation

Motivation: production from mature fields

60% of Brazilian oil fields are gas-lifted

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Problem Formulation

Summary

Motivation

Problem Formulation

Santos Multi-Reservoir Production System

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Problem Formulation

Practical Application

Petrobras bundled:

I An in-house well simulator (Marlim)

I Algebraic Modeling Languages (GAMS and AMPL)

I Optimization solvers (CPLEX, Gurobi, and CBC)

in a software package denominated BR-SIOP. It is available in Infogrid platform to run on a computer cluster.

Remarks:

I The baseline version of BR-SIOP optimizes daily production of platforms that operate with gas-lifted satellite wells.

I It is the most common configuration in Campos Basin.

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Problem Formulation

Practical Application

Petrobras bundled:

I An in-house well simulator (Marlim)

I Algebraic Modeling Languages (GAMS and AMPL)

I Optimization solvers (CPLEX, Gurobi, and CBC)

in a software package denominated BR-SIOP. It is available in Infogrid platform to run on a computer cluster.

Remarks:

I The baseline version of BR-SIOP optimizes daily production of platforms that operate with gas-lifted satellite wells.

I It is the most common configuration in Campos Basin.

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Problem Formulation

BR-SIOP GLC

I Mathematical model for gas-lift optimization of satellite wells in offshore operations.

I Model implemented in BR-SIOP, Petrobras.

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Problem Formulation

FPSO Cidade de Santos

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Problem Formulation

FPSO Cidade de Santos

FPSO Santos produces from two reservoirs, Tambau and Urugua.

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Problem Formulation

Sets

I N : set of production wells.

I P iwh: breakpoints for well-head pressure of well i . I Qigl: breakpoints for gas-lift injection rate of well well i .

I Ri : breakpoint pairs considering well-head pressure and lift-gas rate for well i , P iwh ×Qigl, including naturally flowing conditions.

I Ri+: breakpoint pairs not considering naturally flowing conditions, P iwh × {Q igl \ {0}}.

I Ri0: breakpoint pairs considering only zero gas-lift injection rate, P iwh × {0}.

OptIntro 14 / 31

Problem Formulation

Sets

I N : set of production wells.

I P iwh: breakpoints for well-head pressure of well i . I Qigl: breakpoints for gas-lift injection rate of well well i .

I Ri : breakpoint pairs considering well-head pressure and lift-gas rate for well i , P iwh ×Qigl, including naturally flowing conditions.

I Ri+: breakpoint pairs not considering naturally flowing conditions, P iwh × {Q igl \ {0}}.

I Ri0: breakpoint pairs considering only zero gas-lift injection rate, P iwh × {0}.

OptIntro 14 / 31

Problem Formulation

Sets

I N : set of production wells.

I P iwh: breakpoints for well-head pressure of well i . I Qigl: breakpoints for gas-lift injection rate of well well i .

I Ri : breakpoint pairs considering well-head pressure and lift-gas rate for well i , P iwh ×Qigl, including naturally flowing conditions.

I Ri+: breakpoint pairs not considering naturally flowing conditions, P iwh × {Q igl \ {0}}.

I Ri0: breakpoint pairs considering only zero gas-lift injection rate, P iwh × {0}.

OptIntro 14 / 31

Problem Formulation

Sets

I N : set of production wells.

I Ri+: breakpoint pairs not considering naturally flowing conditions, P iwh × {Q igl \ {0}}.

I Ri0: breakpoint pairs considering only zero gas-lift injection rate, P iwh × {0}.

OptIntro 14 / 31

Problem Formulation

Sets

I N : set of production wells.

I Ri+: breakpoint pairs not considering naturally flowing conditions, P iwh × {Q igl \ {0}}.

I Ri0: breakpoint pairs considering only zero gas-lift injection rate, P iwh × {0}.

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Problem Formulation

Parameters

I q̂ io(whp i , qigl): oil rate from well i , at well-head pressure whp

i and

lift-gas injection qigl.

I gor i : gas-oil ration for well i .

I wcut i : water cut.

I qigl,min: minimum lift-gas injection rate.

I qigl,max: maximum lift-gas injection rate.

I whpimin: minimum pressure.

I whpimax: maximum pressure.

OptIntro 15 / 31

Problem Formulation

Parameters

I q̂ io(whp i , qigl): oil rate from well i , at well-head pressure whp

i and

lift-gas injection qigl.

I gor i : gas-oil ration for well i .

I wcut i : water cut.

I qigl,min: minimum lift-gas injection rate.

I qigl,max: maximum lift-gas injection rate.

I whpimin: minimum pressure.

I whpimax: maximum pressure.

OptIntro 15 / 31

Problem Formulation

Parameters

I q̂ io(whp i , qigl): oil rate from well i , at well-head pressure whp

i and

lift-gas injection qigl.

I gor i : gas-oil ration for well i .

I wcut i : water cut.

I qigl,min: minimum lift-gas injection rate.

I qigl,max: maximum lift-gas injection rate.

I whpimin: minimum pressure.

I whpimax: maximum pressure.

OptIntro 15 / 31

Problem Formulation

Parameters

I q̂ io(whp i , qigl): oil rate from well i , at well-head pressure whp

i and

lift-gas injection qigl.

I gor i : gas-oil ration for well i .

I wcut i : water cut.

I qigl,min: minimum lift-gas injection rate.

I qigl,max: maximum lift-gas injection rate.

I whpimin: minimum pressure.

I whpimax: maximum pressure.

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Problem Formulation

Parameters

I ql,max: Liquid handling capacity of the platform.

I qw,max: Water handling capacity of the platform.

I qflare,max: Limit for gas flaring.

I qflare,min: Minimum rate for gas flaring.

I qgtc: Gas compression capacity.

I qturbine: Gas demand for electric turbine.

I qmaxexp : Maximum rate for gas exportation.

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Problem Formulation

Parameters

I ql,max: Liquid handling capacity of the platform.

I qw,max: Water handling capacity of the platform.

I qflare,max: Limit for gas flaring.

I qflare,min: Minimum rate for gas flaring.

I qgtc: Gas compression capacity.

I qturbine: Gas demand for electric turbine.

I qmaxexp : Maximum rate for gas exportation.

OptIntro 16 / 31

Problem Formulation

Parameters

I ql,max: Liquid handling capacity of the platform.

I qw,max: Water handling capacity of the platform.

I qflare,max: Limit for gas flaring.

I qflare,min: Minimum rate for gas flaring.

I qgtc: Gas compression capacity.

I qturbine: Gas demand for electric turbine.

I qmaxexp : Maximum rate for gas exportation.

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Problem Formulation

Parameters

I (t ilb and t i ub) are two parameters that impose conditions on well

operations:

I (0, 0) forces well i to be closed during the optimization process. I (0, 1) allows the optimization algorithm to decide whether to

operate well i or not. I (1, 1) forces well i to be producing. I (1, 0) not a viable setting.

I enablei allows well i to operate without gas-lift injection, naturally flowing production.