Joint optimization of well placement and control for nonconventional well types

Abstract Optimal well placement and optimal well control are two important areas of study in oilfield development. Although the two problems differ in several respects, both are important considerations in optimizing total oilfield production, and so recent work in the field has considered the problem of addressing both problems jointly. Two general approaches to addressing the joint problem are a simultaneous approach, where all parameters are optimized at the same time, or a sequential approach, where a distinction between placement and control parameters is maintained by separating the optimization problem into two (or more) stages, some of which consider only a subset of the total number of variables. This latter approach divides the problem into smaller ones which are easier to solve, but may not explore search space as fully as a simultaneous approach. In this paper we combine a stochastic global algorithm (particle swarm optimization) and a local search (mesh adaptive direct search) to compare several simultaneous and sequential approaches to the joint placement and control problem. In particular, we study how increasing the complexity of well models (requiring more variables to describe the well׳s location and path) affects the respective performances of the two approaches. The results of several experiments with synthetic reservoir models suggest that the sequential approaches are better able to deal with increasingly complex well parameterizations than the simultaneous approaches.

[1]  Atulya K. Nagar,et al.  Hybrid differential evolution and particle swarm optimization for optimal well placement , 2013, Computational Geosciences.

[2]  Hanqiao Jiang,et al.  Optimization of well placement by combination of a modified particle swarm optimization algorithm and quality map method , 2014, Computational Geosciences.

[3]  Louis J. Durlofsky,et al.  Generalized Field-Development Optimization With Derivative-Free Procedures , 2014 .

[4]  Geir Nævdal,et al.  Production Optimization Using Derivative Free Methods Applied to Brugge Field Case , 2014 .

[5]  Louis J. Durlofsky,et al.  A New Well-Pattern-Optimization Procedure for Large-Scale Field Development , 2011 .

[6]  Louis J. Durlofsky,et al.  Application of derivative-free methodologies to generally constrained oil production optimization problems , 2010, ICCS.

[7]  Mathias C. Bellout,et al.  Joint optimization of oil well placement and controls , 2012, Computational Geosciences.

[8]  Chaohui Chen,et al.  Closed-loop reservoir management on the Brugge test case , 2010 .

[9]  Sébastien Le Digabel,et al.  Algorithm xxx : NOMAD : Nonlinear Optimization with the MADS algorithm , 2010 .

[10]  Carlos A. Coello Coello,et al.  Solving Engineering Optimization Problems with the Simple Constrained Particle Swarm Optimizer , 2008, Informatica.

[11]  Jan Dirk Jansen,et al.  Adjoint-based optimization of multi-phase flow through porous media – A review , 2011 .

[12]  Silvana M. B. Afonso,et al.  Surrogate based optimal waterflooding management , 2013 .

[13]  Robert Michael Lewis,et al.  Pattern Search Algorithms for Bound Constrained Minimization , 1999, SIAM J. Optim..

[14]  Xin-She Yang,et al.  Computational Optimization and Applications in Engineering and Industry , 2013, Computational Optimization and Applications in Engineering and Industry.

[15]  Gijs van Essen,et al.  Adjoint-Based Well-Placement Optimization Under Production Constraints , 2008 .

[16]  Roland N. Horne,et al.  Uncertainty Assessment of Well-Placement Optimization , 2004 .

[17]  Iftekhar A. Karimi,et al.  Optimal producer well placement and production planning in an oil reservoir , 2013, Comput. Chem. Eng..

[18]  A. Reynolds,et al.  Theoretical connections between optimization algorithms based on an approximate gradient , 2013, Computational Geosciences.

[19]  Charles Audet,et al.  Analysis of Generalized Pattern Searches , 2000, SIAM J. Optim..

[20]  Hui Zhao,et al.  Maximization of a Dynamic Quadratic Interpolation Model for Production Optimization , 2011, ANSS 2011.

[21]  Louis J. Durlofsky,et al.  Biobjective optimization for general oil field development , 2014 .

[22]  Louis J. Durlofsky,et al.  Optimization of Nonconventional Well Type, Location and Trajectory , 2002 .

[23]  Wei Zheng,et al.  Co-evolutionary particle swarm optimization to solve constrained optimization problems , 2009, Comput. Math. Appl..

[24]  L. Durlofsky,et al.  Optimization of nonconventional wells under uncertainty using statistical proxies , 2006 .

[25]  L. Durlofsky,et al.  Application of a particle swarm optimization algorithm for determining optimum well location and type , 2010 .

[26]  Tapan Mukerji,et al.  Derivative-Free Optimization for Oil Field Operations , 2011, Computational Optimization and Applications in Engineering and Industry.

[27]  Luís N. Vicente,et al.  PSwarm: a hybrid solver for linearly constrained global derivative-free optimization , 2009, Optim. Methods Softw..

[28]  Mrinal K. Sen,et al.  On optimization algorithms for the reservoir oil well placement problem , 2006 .

[29]  Albert C. Reynolds,et al.  A Two-Stage Well Placement Optimization Method Based on Adjoint Gradient , 2010 .

[30]  Ronald D. Haynes,et al.  Simultaneous and sequential approaches to joint optimization of well placement and control , 2014, Computational Geosciences.

[31]  A. Reynolds,et al.  Joint optimization of number of wells, well locations and controls using a gradient-based algorithm , 2014 .

[32]  Lianlin Li,et al.  A variable-control well placement optimization for improved reservoir development , 2012, Computational Geosciences.

[33]  A. Reynolds,et al.  Optimal well placement using an adjoint gradient , 2010 .

[34]  Hong Liu,et al.  A systematic integrated approach for waterflooding optimization , 2013 .

[35]  Charles Audet,et al.  Globalization strategies for Mesh Adaptive Direct Search , 2008, Comput. Optim. Appl..

[36]  Dilza Szwarcman,et al.  Well Placement Optimization Using a Genetic Algorithm With Nonlinear Constraints , 2009 .

[37]  Charles Audet,et al.  OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions , 2008, SIAM J. Optim..

[38]  Roland N. Horne,et al.  Reservoir Development and Design Optimization , 1997 .

[39]  Roddy V. Amenta An interactive FORTRAN program for cross-correlation of signals on a PC with CGA graphics: an application in marine geoacoustics , 1990 .

[40]  B. Jafarpour,et al.  A simultaneous perturbation stochastic approximation algorithm for coupled well placement and control optimization under geologic uncertainty , 2013, Computational Geosciences.

[41]  Riccardo Poli,et al.  Analysis of the publications on the applications of particle swarm optimisation , 2008 .

[42]  Ling Wang,et al.  A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization , 2007, Appl. Math. Comput..

[43]  Jan Dirk Jansen,et al.  Adjoint-Based Well-Placement Optimization Under Production Constraints , 2008 .

[44]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[45]  Charles Audet,et al.  Mesh Adaptive Direct Search Algorithms for Constrained Optimization , 2006, SIAM J. Optim..

[46]  L. Durlofsky,et al.  A derivative-free methodology with local and global search for the constrained joint optimization of well locations and controls , 2014, Computational Geosciences.

[47]  M. Clerc,et al.  Particle Swarm Optimization , 2006 .

[48]  A. Auger,et al.  Well placement optimization with the covariance matrix adaptation evolution strategy and meta-models , 2011, Computational Geosciences.

[49]  Chunhong Wang,et al.  Production Optimization in Closed-Loop Reservoir Management , 2009 .

[50]  Luís N. Vicente,et al.  A particle swarm pattern search method for bound constrained global optimization , 2007, J. Glob. Optim..

[51]  Karim Salahshoor,et al.  Application of multi-criterion robust optimization in water-flooding of oil reservoir , 2013 .