论文标题
双重连续体模型的非本地多通用升级的分析
Analysis of Non-local Multicontinuum Upscaling for Dual Continuum Model
论文作者
论文摘要
在本文中，我们为双重连续模型开发并分析了一种严格的多尺度升级方法，该模型是地下形成应用程序中的强大工具。我们提出的方法能够通过构建局部多尺度函数来识别不同的连续性并捕获计算域中的非本地传递和有效属性。基础函数的构建包括解决在过采样区域定义的局部问题，但要限制能量最小的约束，即局部解决方案的平均值在所有持续图中均为零，除了靶向的局部解决方案。构造的基础函数显示具有良好的近似属性。结果表明该方法具有粗网格依赖性收敛性。我们提供了一些数值示例，以说明所提出的方法的性能。
In this paper, we develop and analyze a rigorous multiscale upscaling method for dual continuum model, which serves as a powerful tool in subsurface formation applications. Our proposed method is capable of identifying different continua and capturing non-local transfer and effective properties in the computational domain via constructing localized multiscale basis functions. The construction of the basis functions consists of solving local problems defined on oversampling computational region, subject to the energy minimizing constraints that the mean values of the local solution are zero in all continua except for the one targeted. The basis functions constructed are shown to have good approximation properties. It is shown that the method has a coarse mesh dependent convergence. We present some numerical examples to illustrate the performance of the proposed method.
