A Multistage Stochastic Programming Approach for the Planning of Offshore Oil or Gas Field Infrastructure Under Decision Dependent Uncertainty

The planning of offshore oil or gas field infrastructure under uncertainty is addressed in this article. The main uncertainties considered are in the initial maximum oil or gas flowrate, the recoverable oil or gas volume, and the water breakthrough time of the reservoir, which are represented by discrete distributions. Furthermore, it is assumed that these uncertainties are not immediately realized, but are gradually revealed as a function of design and operation decisions. To account for these decision-dependent uncertainties, we propose a multistage stochastic programming model that captures the complex economic objectives and nonlinear reservoir behavior and simultaneously optimizes the investment and operating decisions over the entire planning horizon. The proposed solution algorithm relies on a duality-based branch-and-bound method involving subproblems as nonconvex mixed-integer nonlinear programs. Several examples involving nonlinear reservoir models are presented to illustrate the application of ...

[1]  Arthur W. Westerberg,et al.  Assuring a global optimum by the use of an upper bound on the lower (dual) bound , 1978 .

[2]  Richard C. Larson,et al.  Model Building in Mathematical Programming , 1979 .

[3]  Marshall L. Fisher,et al.  An Applications Oriented Guide to Lagrangian Relaxation , 1985 .

[4]  Dag Haugland,et al.  Mathematical and computer modelling reports: Models for petroleum field exploitation , 1988 .

[5]  Georg Ch. Pflug On-Line Optimization of Simulated Markovian Processes , 1990, Math. Oper. Res..

[6]  Peter Behrenbruch Offshore Oilfield Development Planning , 1993 .

[7]  R. Raman,et al.  Modelling and computational techniques for logic based integer programming , 1994 .

[8]  Eduardo S. Schwartz,et al.  Investment Under Uncertainty. , 1994 .

[9]  Nilay Shah,et al.  Optimisation of oilfield exploitation under uncertainty , 1996 .

[10]  Andrzej Ruszczynski,et al.  Decomposition methods in stochastic programming , 1997, Math. Program..

[11]  Nilay Shah,et al.  RTN-based rolling horizon algorithms for medium term scheduling of multipur-pose plants , 1997 .

[12]  Tore Wiig Jonsbråten,et al.  Optimization models for petroleum field exploitation , 1998 .

[13]  A. S. Cullick,et al.  Optimal Planning and Scheduling of Offshore Oil Field Infrastructure Investment and Operations , 1998 .

[14]  David L. Woodruff,et al.  A class of stochastic programs withdecision dependent random elements , 1998, Ann. Oper. Res..

[15]  I. Grossmann,et al.  A Bilevel Decomposition Algorithm for Long-Range Planning of Process Networks , 1998 .

[16]  Ignacio E. Grossmann,et al.  An Iterative Aggregation/Disaggregation Approach for the Solution of a Mixed-Integer Nonlinear Oilfield Infrastructure Planning Model , 2000 .

[17]  Ignacio E. Grossmann,et al.  Integrating complex economic objectives with the design and planning of offshore oilfield infrastructures , 2000 .

[18]  Shabbir Ahmed,et al.  Strategic Planning Under Uncertainty: Stochastic Integer Programming Approaches , 2000 .

[19]  I. Grossmann,et al.  A Lagrangean Decomposition Heuristic for the Design and Planning of Offshore Hydrocarbon Field Infrastructures with Complex Economic Objectives , 2001 .

[20]  R. Bratvold,et al.  Improving Investment Decisions Using a Stochastic Integrated Asset Model , 2001 .

[21]  Dimitri P. Bertsekas,et al.  Incremental Subgradient Methods for Nondifferentiable Optimization , 2001, SIAM J. Optim..

[22]  Reidar Brumer Bratvold,et al.  Would You Know a Good Decision if You Saw One , 2002 .

[23]  I. Grossmann Review of Nonlinear Mixed-Integer and Disjunctive Programming Techniques , 2002 .

[24]  Ignacio E. Grossmann,et al.  A stochastic programming approach to planning of offshore gas field developments under uncertainty in reserves , 2004, Comput. Chem. Eng..

[25]  Emmanuel Manceau,et al.  Uncertainty management: From geological scenarios to production scheme optimization , 2004 .

[26]  James P. Kelly,et al.  Optimizing Multiple-Field Scheduling and Production Strategy With Reduced Risk , 2004 .

[27]  S. Peeta,et al.  Investing in the Links of a Stochastic Network to Minimize Expected Shortest Path. Length , 2004 .

[28]  Miguel J. Bagajewicz,et al.  Financial Risk Management in Offshore Oil Infrastructure Planning and Scheduling , 2004 .

[29]  W. Bailey,et al.  Field Optimization Tool for Maximizing Asset Value , 2005 .

[30]  Denis José Schiozer,et al.  VALUE OF INFORMATION DURING APPRAISAL AND DEVELOPMENT OF PETROLEUM FIELDS , 2005 .

[31]  David L. Woodruff,et al.  Heuristics for Multi-Stage Interdiction of Stochastic Networks , 2005, J. Heuristics.

[32]  M.C.A. Carvalho,et al.  An MILP model and solution technique for the planning of infrastructure in offshore oilfields , 2006 .

[33]  Jose M. Pinto,et al.  A bilevel decomposition technique for the optimal planning of offshore platforms , 2006 .

[34]  Ignacio E. Grossmann,et al.  A Class of stochastic programs with decision dependent uncertainty , 2006, Math. Program..

[35]  Ignacio E. Grossmann,et al.  A novel branch and bound algorithm for optimal development of gas fields under uncertainty in reserves , 2006, Comput. Chem. Eng..

[36]  Nina Linn Ulstein,et al.  Tactical planning of offshore petroleum production , 2007, Eur. J. Oper. Res..

[37]  Ignacio E. Grossmann,et al.  A multistage stochastic programming approach with strategies for uncertainty reduction in the synthesis of process networks with uncertain yields , 2008, Comput. Chem. Eng..

[38]  Antonio Alonso Ayuso,et al.  Introduction to Stochastic Programming , 2009 .