多孔地下油藏多相流热力学严格模型的动态最优化
Dynamic Optimization of Thermodynamically Rigorous Models of Multiphase Flow in Porous Subsurface Oil Reservoirs
摘要：
本文研究了多孔介质中多组分三相流动的热力和等温采油过程的动态最优化问题。我们提出了严格的数学模型，这些过程的基础上1）质量和能量守恒，2）相平衡。守恒方程是偏微分方程。与热模型和等温模型相关的相平衡问题称为UV和VT闪蒸，它们基于热力学第二定律。我们将这些相平衡问题表示为最优化问题，并将相平衡条件表示为相应的一阶最优性条件。我们证明，热和等温流动模型是在一个半显式的微分代数形式，我们解决了动态最优化问题与以前开发的基于梯度的算法在C/C++中实现。我们提出了优化的热和等温采油策略的数值例子，并讨论了这些例子中的动态最优化算法的计算性能。
英文摘要：
In this paper, we consider dynamic optimization of thermal and isothermal oil recovery processes which involve multicomponent three-phase flow in porous media. We present thermodynamically rigorous models of these processes based on 1) conservation of mass and energy, and 2) phase equilibrium. The conservation equations are partial differential equations. The phase equilibrium problems that are relevant to thermal and isothermal models are called the UV and the VT flash, and they are based on the second law of thermodynamics. We formulate these phase equilibrium problems as optimization problems and the phase equilibrium conditions as the corresponding first order optimality conditions. We demonstrate that the thermal and isothermal flow models are in a semi-explicit differential-algebraic form, and we solve the dynamic optimization problems with a previously developed gradient-based algorithm implemented in C/C++. We present numerical examples of optimized thermal and isothermal oil recovery strategies and discuss the computational performance of the dynamic optimization algorithm in these examples.
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