Abstract

In onshore oilfields, sucker rod pumps are deployed to lift fluids from wells to the surface, which are then transferred by a pipeline network to a central facility. Each pump operates according to a cyclic control policy that alternates between a period of production and a period of recess, allowing the reservoir to replenish the fluids. To minimize the peak in the electric power drawn by the sucker rods, previous works have considered the scheduling of the control policies over time. However, when the production system sprawls over a large area, the energy required to force the flow through the pipelines and the pressure drops are significant. To this end, this article develops mixed-integer nonlinear formulations and mixed-integer linear approximations for baseline control-policy scheduling and reconfiguration.

References

References
1.
Thomas
,
J. E.
,
2001
,
Fundamentos de Engenharia de Petróleo
,
Interciência
,
Rio de Janeiro
.
2.
Villasante
,
J. A.
,
Mantovano
,
L. O.
,
Ernst
,
H. A.
, and
Pereyra
,
M. G.
,
2015
, “
Development of a New Hollow Sucker Rod Family for Rotating Pumping (Progressive Cavity Pump Systems)
,”
J. Petroleum Sci. Eng.
,
134
, pp.
277
289
. 10.1016/j.petrol.2015.02.005
3.
Bhatkar
,
S.
, and
Anwar
,
S. O.
,
2013
, “
Optimizing Crude Oil Production in Sucker Rod Pumping Wells Using QRod Simulator
,”
Adv. Eng. Appl. Sci. Int. J.
,
3
(
1
), pp.
1
4
.
4.
Lollback
,
P.
,
Wang
,
G.
, and
Rahman
,
S.
,
1997
, “
An Alternative Approach to the Analysis of Sucker-rod Dynamics in Vertical and Deviated Wells
,”
J. Pet. Sci. Eng.
,
17
(
3–4
), pp.
313
320
. 10.1016/S0920-4105(96)00070-8
5.
Liu
,
X.
, and
Qi
,
Y.
,
2011
, “
A Modern Approach to the Selection of Sucker Rod Pumping Systems in CBM Wells
,”
J. Pet. Sci. Eng.
,
76
(
3–4
), pp.
100
108
. 10.1016/j.petrol.2011.01.012
6.
Ribeiro
,
P. J. P.
ed.,
2012
,
Fourth Technical Meeting of Well Automation
,
Petrobras
,
Natal, Brazil
(in Portuguese).
7.
Camponogara
,
E.
,
Oliveira
,
M. D.
, and
de Aguiar
,
M. A. S.
,
2015
, “
Scheduling Pumpoff Operations in Onshore Oilfields Under Electric-Power Constraints
,”
Eur. J. Operat. Res.
,
247
(
3
), pp.
945
956
. 10.1016/j.ejor.2015.06.001
8.
Camponogara
,
E.
,
Guardini
,
L. A.
, and
de Assis
,
L. S.
,
2018
, “
Scheduling Pumpoff Operations in Onshore Oilfields With Electric-Power Constraints and Variable Cycle Time
,”
Comput. Operat. Res.
,
91
, pp.
247
257
. 10.1016/j.cor.2017.09.012
9.
Solbraekke
,
K.
ed.,
2014
,
Seminar on Cooperation Between Norway and Brazil Within RD&I in the Oil and Gas Industry
,
SINTEF
,
Rio de Janeiro, Brazil
.
10.
Cafieri
,
S.
,
Monies
,
F.
,
Mongeau
,
M.
, and
Bes
,
C.
,
2016
, “
Plunge Milling Time Optimization via Mixed-Integer Nonlinear Programming
,”
Comput. Ind. Eng.
,
98
, pp.
434
445
. 10.1016/j.cie.2016.06.015
11.
Lamba
,
K.
,
Singh
,
S. P.
, and
Mishra
,
N.
,
2019
, “
Integrated Decisions for Supplier Selection and Lot-Sizing Considering Different Carbon Emission Regulations in Big Data Environment
,”
Comput. Ind. Eng.
,
128
, pp.
1052
1062
. 10.1016/j.cie.2018.04.028
12.
Boujelben
,
M. K.
,
Gicquel
,
C.
, and
Minoux
,
M.
,
2016
, “
A MILP Model and Heuristic Approach for Facility Location Under Multiple Operational Constraints
,”
Comput. Ind. Eng.
,
98
, pp.
446
461
. 10.1016/j.cie.2016.06.022
13.
Cafaro
,
V. G.
,
Cafaro
,
D. C.
,
Méndez
,
C. A.
, and
Cerdá
,
J.
,
2015
, “
Optimization Model for the Detailed Scheduling of Multi-Source Pipelines
,”
Comput. Ind. Eng.
,
88
, pp.
395
409
. 10.1016/j.cie.2015.07.022
14.
Seman
,
L. O.
,
Miyatake
,
L. K.
,
Camponogara
,
E.
,
Giuliani
,
C. M.
, and
Vieira
,
B. F.
,
Sep 2020
, “
Derivative-Free Parameter Tuning for a Well Multiphase Flow Simulator
,”
J. Pet. Sci. Eng.
,
192
, p.
107288
. 10.1016/j.petrol.2020.107288
15.
McCormick
,
G. P.
,
1976
, “
Computability of Global Solutions to Factorable Nonconvex Programs: Part I—Convex Underestimating Problems
,”
Math. Program.
,
10
(
1
), pp.
147
175
. 10.1007/BF01580665
16.
Floudas
,
C. A.
,
1995
,
Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications
, 1st ed.
Oxford University Press
,
Oxford, UK
.
17.
LLC Gurobi Optimization
,
2020
,
Gurobi Optimizer Reference Manual
.
18.
Westerman
,
G. W.
,
1977
, “
Successful Application of Pump-Off Controllers
,”
Proceedings of the SPE Annual Fall Technical Conference and Exhibition
,
Denver, CO
,
October
, pp.
9
12
.
19.
Liu
,
W. H.
, and
Guo
,
L. J.
,
2010
, “
Pressure Drop for Oilwater Two Phase Flow in Horizontal Pipe
,”
AIP. Conf. Proc.
,
1207
(
1
), pp.
665
673
.
20.
Chakrabarti
,
D. P.
,
Das
,
G.
, and
Ray
,
S.
,
2005
, “
Pressure Drop in Liquid-Liquid Two Phase Horizontal Flow: Experiment and Prediction
,”
Chem. Eng. Technol.
,
28
(
9
), pp.
1003
1009
. 10.1002/ceat.200500143
21.
Amooey
,
A. A.
,
Jul 2016
, “
Prediction of Pressure Drop for Oil-Water Flow in Horizontal Pipes Using an Artificial Neural Network System
,”
J. Appl. Fluid Mech.
,
9
(
5
), pp.
2469
2474
.
22.
Shakouri
,
H.
,
Nadimi
,
R.
, and
Ghaderi
,
S. F.
,
2017
, “
Investigation on Objective Function and Assessment Rule in Fuzzy Regressions Based on Equality Possibility, Fuzzy Union and Intersection Concepts
,”
Comput. Indust. Eng.
,
110
, pp.
207
215
. 10.1016/j.cie.2017.05.032
23.
Reid
,
S.
,
Tibshirani
,
R.
, and
Friedman
,
J.
,
2016
, “
A Study of Error Variance Estimation in Lasso Regression
,”
Stat. Sinica
,
26
(
1
), pp.
35
67
.
24.
Vielma
,
J. P.
,
Ahmed
,
S.
, and
Nemhauser
,
G.
,
2010
, “
Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions
,”
Operat. Res.
,
58
(
2
), pp.
303
315
. 10.1287/opre.1090.0721
25.
Camponogara
,
E.
, and
Nakashima
,
P. H. R.
,
2006
, “
Optimizing Gas-Lift Production of Oil Wells: Piecewise-Linear Formulation and Computational Analysis
,”
IIE Trans.
,
38
(
2
), pp.
173
183
. 10.1080/07408170500327345
26.
Camponogara
,
E.
, and
Nazari
,
L. F.
,
2015
, “
Models and Algorithms for Optimal Piecewise-Linear Function Approximation
,”
Math. Problems Eng.
,
2015
, p.
9
. 10.1155/2015/876862
27.
Fourer
,
R.
,
Gay
,
D. M.
, and
Kernighan
,
B. W.
,
2002
,
AMPL: A Modeling Language for Mathematical Programming
,
Duxbury Press
,
London, UK
.
28.
Wächter
,
A.
, and
Biegler
,
L. T.
,
2006
, “
On the Implementation of a Primal-Dual Interior Point Filter Line Search Algorithm for Large-Scale Nonlinear Programming
,”
Math. Program.
,
106
(
1
), pp.
25
27
. 10.1007/s10107-004-0559-y
29.
Lima
,
M. L.
,
Camponogara
,
E.
,
Campos
,
M. C. M.M.
, and
Miyatake
,
L. K.
,
2019
, “
Automatic Control of Flow Gathering Networks: A Mixed-Integer Receding Horizon Control Applied to an Onshore Oilfield
,”
Control. Eng. Pract.
,
86
, pp.
48
55
. 10.1016/j.conengprac.2019.02.005
You do not currently have access to this content.