基于最優(yōu)控制與SPSA算法的水驅(qū)油藏優(yōu)化方法研究
[Abstract]:Water drive is an important way of secondary exploitation of petroleum. Due to the heterogeneity of reservoir geology, the injected water enters into the high permeability zone first, and the high permeability path once the water appears, Oil in areas outside these paths is short-circuited by high permeability paths and cannot be driven out. How to develop oil fields efficiently and reasonably in water drive, improve the effect of controlling water and stabilizing oil production, and slow down the decline of oil production has become an urgent problem to be solved. However, the existing optimal control algorithms for water drive reservoirs have some problems, such as poor optimization effect and so on. It is under this background that the optimal injection strategy is established and the optimal control algorithm for water drive reservoir is studied in this paper. It has certain guiding and application significance in the realistic reservoir development. When studying the reservoir dynamic system, this paper takes the economic net present value as the objective function, selects the saturation as the state variable, takes the oil production and the water injection rate as the control variable, and selects the continuity equation, the boundary limitation and so on as the constraint conditions. Thus the mathematical model of optimal control of water drive reservoir is established. According to the reservoir characteristics, two kinds of optimization algorithms are selected to study the water drive reservoir optimization problem. One is the optimal control algorithm with gradient algorithm. For the selection of optimal control algorithm, this paper chooses the steepest descent method, in which the solution of gradient is a big difficulty. In this paper, the adjoint method is improved to improve the computational efficiency and reduce the computational complexity, aiming at the slow and complex computing speed of the adjoint method, and the improved steepest descent method is formed. The other is the non-gradient class algorithm, the SPSA (Simultaneous Perturbation Stochastic Approximation) algorithm. The algorithm approximates the optimal solution gradually by estimating the approximate gradient of the objective function, thus avoiding the complex solution of the gradient of the complex function. According to the research process of the two algorithms, the water drive reservoir optimization simulation program is designed, the reservoir model is established by Eclipse, and the simulation is carried out with MATLAB. The optimization method adopted in this paper can still achieve good results in the actual reservoir optimization, and the cost is low and the manpower is less.
【學(xué)位授予單位】:西南石油大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:TE357.6
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