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Local Thermal Non-Equilibrium Interfacial Interactions in Heterogeneous Reservoirs - Divergence of Numerical Methods to Simulate the Fluid and Heat Flow

机译:异质储层局部热非平衡界面相互作用 - 模拟流体和热流的数值方法的分解

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This paper focuses on the impact that underground fluid velocity has in numerical algorithms used to model and solve fluid and energy flow problems in heterogeneous geothermal reservoirs. The discussion is based on the energy flow conservation equations for local thermal non-equilibrium conditions. The Integrated Finite Volume method is used here to illustrate this problem. The heat transfer from the solid matrix to the moving fluid at different temperature is modeled for several velocities and global different heat transfers. Especial attention is paid to the dynamic process of cold fluids injected into a reservoir at higher temperature: Water at 50°C is injected into a reservoir at 350°C; if the fluid migrates with constant speed through a permeable corridor from the injection point to a production zone, what is the fluid temperature profile? During the numerical simulation of coupled heat and mass flows in multiple porosity-permeability systems it is necessary to average highly variable physical parameters at the boundaries between different rock domains represented geometrically in a computational mesh. This can be effectively achieved using appropriate average techniques at the contact interfaces of the domains. The averaging process should represent also the correct behavior of the fluid velocity crossing different geologic areas of the reservoir. Therefore, the averages have a decisive influence on the numeric results of the reservoir simulation and in pressure test analysis. Many, if not all, numerical divergence problems arise from the fluid velocity value and the interfacial interactions at the boundaries of different continua. To understand the convergence behavior of the simulated temperature in the injection problem, a new analytical diffusion-convection model was created and its results compared to the finite volume method. A very stable, convergent differencing scheme emerges from this comparison. Two main objectives are achieved herein: the physical reason for the divergence of a numerical model, and the exploration of the range of validity of the local thermal equilibrium hypothesis during the injection of cold water into a hot reservoir.
机译:本文重点介绍了地下流体速度在用于模拟和解决异质地热储层中的流体和能量流问题的数值算法中的影响。讨论基于局部热非平衡条件的能量流动节约方程。这里使用集成的有限体积方法来说明这个问题。在不同温度下从固体基质到移动流体的热传递被建模用于若干速度和全局不同的热转移。特别注意在较高温度下注入储存器中的冷流体的动态过程:50℃下的水在350℃下注入贮存器中;如果流体通过从注射点到生产区的渗透走廊迁移恒定的速度,则是流体温度曲线?在多孔隙率介导系统中耦合热量和质量流动的数值模拟期间,在计算网格中几何上几何上表示的不同岩石域之间的边界的平均高度可变物理参数是必要的。这可以使用域的接触界面处使用适当的平均技术来实现。平均过程还应表示流体速度交叉的水库不同地质区域的正确行为。因此,平均值对储层模拟的数值结果和压力测试分析具有决定性的影响。许多,如果不是全部,则来自流体速度值和不同连续范围边界的界面相互作用产生数值发散问题。为了了解注射问题中的模拟温度的收敛行为,创建了一种新的分析扩散 - 对流模型及其结果与有限体积法相比。从这种比较中出现了非常稳定的,会聚差异方案。这里实现了两个主要目标:数值模型分歧的物理原因,以及在将冷水注入热储层期间局部热平衡假设的有效性探索。

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