Uncertain multi-objective optimal model of oilfield development planning and its algorithm

In this paper, we discuss the formulation of the oilfield development plan in case of significant nondeterminacy in oilfield development. And the plan needs to ensure production and achieve minimum cost and maximum new recoverable reserves. The uncertain factors in oilfield development are analyzed in this paper, and we consider the uncertain nature of the stimulation effect of measures and new recoverable reserves per well and quantify them. On this basis, an uncertain multi-objective optimal model of oilfield development planning is constructed. The model aims to minimize the expectation of development cost and maximize the expectation of new recoverable reserves, and optimizes the workload of each measure under the constraints including the oil production and the resources limitation. Based on uncertainty theory, the model is transformed into a deterministic model. And a nondominated sorting genetic algorithm with elite strategy is developed to solve the model and get the Pareto solution set. Then the multi-attribute decision-making is applied to select the multiple development plans, which provides the basis for the decision-making of the oilfield development plan. Finally, a numerical example is given to verify the effectiveness of the model and algorithm, and their practical application values under the background of oilfield development planning.

[1]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[2]  Baoding Liu,et al.  Uncertain Multiobjective Programming and Uncertain Goal Programming , 2015 .

[3]  Ignacio E. Grossmann,et al.  Multistage stochastic programming approach for offshore oilfield infrastructure planning under production sharing agreements and endogenous uncertainties , 2014 .

[4]  Xi Chen,et al.  Fuzzy Goal Programming Model and Algorithm for Oilfield Development , 2009, ICFIE.

[5]  I. Karimi,et al.  Integrated Oil-Field Management: From Well Placement and Planning to Production Scheduling , 2016 .

[6]  Seyed Hossein Iranmanesh,et al.  Optimal planning of oil and gas development projects considering long-term production and transmission , 2014, Comput. Chem. Eng..

[7]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[8]  Jinwu Gao,et al.  Uncertain Shapley value of coalitional game with application to supply chain alliance , 2017, Appl. Soft Comput..

[9]  J. S. Aronofsky,et al.  A Linear Programming Model for Scheduling Crude Oil Production , 1958 .

[10]  Baoding Liu Uncertainty distribution and independence of uncertain processes , 2014, Fuzzy Optim. Decis. Mak..

[11]  Jinwu Gao,et al.  Bayesian equilibria for uncertain bimatrix game with asymmetric information , 2017, J. Intell. Manuf..

[12]  Jinwu Gao,et al.  Uncertain bimatrix game with applications , 2012, Fuzzy Optimization and Decision Making.

[13]  Baoding Liu Uncertain Risk Analysis and Uncertain Reliability Analysis , 2010 .

[14]  Xi Chen,et al.  Application of AHP and Fuzzy Multi-Objective Programming to Oilfield Development , 2009, 2009 International Conference on Management and Service Science.

[15]  Sajjad Golshannavaz,et al.  A multi-objective hybrid GA and TOPSIS approach for sizing and siting of DG and RTU in smart distribution grids , 2018, J. Ambient Intell. Humaniz. Comput..

[16]  Xiaowei Chen,et al.  A numerical method for solving uncertain differential equations , 2013, J. Intell. Fuzzy Syst..

[17]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[18]  Baoding Liu Fuzzy Process, Hybrid Process and Uncertain Process , 2008 .

[19]  Baoding Liu,et al.  Theory and Practice of Uncertain Programming , 2003, Studies in Fuzziness and Soft Computing.

[20]  Zhang Chuan APPLICATION OF CONTROLLING THEORY TO OUTPUT PROGRAMMING TECHNOLOGY FOR OIL AND GAS FIELD DEVELOPMENT , 2001 .

[21]  Baoding Liu Some Research Problems in Uncertainty Theory , 2009 .

[22]  Gang Liu,et al.  An uncertain goal programming model for machine scheduling problem , 2017, J. Intell. Manuf..

[23]  Jinwu Gao,et al.  Uncertain term structure model of interest rate , 2013, Soft Comput..

[24]  Bo Zhang,et al.  Uncertain goal programming models for bicriteria solid transportation problem , 2017, Appl. Soft Comput..

[25]  Basem Almadani QoS-aware real-time pub/sub middleware for drilling data management in petroleum industry , 2016, J. Ambient Intell. Humaniz. Comput..

[26]  Dong Hong APPLICATION OF OBJECT PLANNING IN THE PROGRAMMING OF OIL FIELD DEVELOPMENT PLAN , 2001 .

[27]  Yuan Wang,et al.  Integrated development optimization model and its solving method of multiple gas fields , 2016 .

[28]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[29]  Zhang Qian Multi-objective Optimization of Oilfield Development Plan Based on Quantum-Shuffled Frog-Leaping Algorithm , 2014 .

[30]  Jinwu Gao,et al.  Linear–Quadratic Uncertain Differential Game With Application to Resource Extraction Problem , 2016, IEEE Transactions on Fuzzy Systems.

[31]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[32]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.