Fracture model reduction and optimization for Forchheimer flows in reservoirs
Fracture model reduction and optimization for Forchheimer flows in reservoirs
复制标题
储层中 Forchheimer 流的裂缝模型简化和优化
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
M D Toda
中科院分区：
文献类型：
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作者：
P. Paranamana;E. Aulisa;A. Ibragimov;M D Toda
在这项研究中，我们分析了轻微可压缩流体在裂隙多孔介质中的渗流过程。考虑了多孔介质中的线性达西渗流和裂隙中的非线性Forchheimer方程，建立了耦合裂隙-多孔介质系统的数学模型。裂缝中的流动被建模为一个简化的低维边值问题，该问题与油藏中的流动方程耦合。证明了由于裂缝的厚度很小，简化模型的解可以很精确地逼近实际裂缝系统中高维流动的解。在分析中，我们考虑两种类型的Forchheimer流的裂缝：各向同性和各向异性，这是不同的性质。使用的方法减少，我们开发了一个配方的裂缝，最大限度地提高了固定几何形状的储层中的裂缝的能力的最佳设计。该方法基于设定点控制算法，研究了裂缝几何形状和β Forchheimer系数的耦合影响，分析了微可压缩流体在裂缝性多孔介质中的渗流过程。考虑了多孔介质中的线性达西渗流和裂隙中的非线性Forchheimer方程，建立了耦合裂隙-多孔介质系统的数学模型。裂缝中的流动被建模为一个简化的低维边值问题，该问题与油藏中的流动方程耦合。证明了由于裂缝的厚度很小，简化模型的解可以很精确地逼近实际裂缝系统中高维流动的解。在分析中，我们考虑两种类型的Forchheimer流的裂缝：各向同性和各向异性，这是不同的性质。使用的方法减少，我们开发了一个配方的裂缝，最大限度地提高了固定的几何形状的储层中的裂缝的能力的最佳设计。我们的方法，这是基于一个设定点控制…
In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear Forchheimer equation is used inside the fracture. Flow in the fracture is modeled as a reduced low dimensional boundary value problem which is coupled with an equation for flow in the reservoir. We prove that the solution of the reduced model can serve very accurately to approximate the solution of the actual high-dimensional flow in reservoir fracture system because the thickness of the fracture is small. In the analysis, we consider two types of Forchheimer flows in the fracture: isotropic and anisotropic, which are different in their nature. Using the method of reduction, we develop a formulation for an optimal design of the fracture, which maximizes the capacity of the fracture in the reservoir with fixed geometry. Our method, which is based on a set point control algorithm, explores the coupled impact of the fracture geometry and β Forchheimer coefficient.In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear Forchheimer equation is used inside the fracture. Flow in the fracture is modeled as a reduced low dimensional boundary value problem which is coupled with an equation for flow in the reservoir. We prove that the solution of the reduced model can serve very accurately to approximate the solution of the actual high-dimensional flow in reservoir fracture system because the thickness of the fracture is small. In the analysis, we consider two types of Forchheimer flows in the fracture: isotropic and anisotropic, which are different in their nature. Using the method of reduction, we develop a formulation for an optimal design of the fracture, which maximizes the capacity of the fracture in the reservoir with fixed geometry. Our method, which is based on a set point control ...