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    • 74. 发明申请
    • Multi-scale finite-volume method for use in subsurface flow simulation
    • 用于地下流动模拟的多尺度有限体积法
    • US20050177354A1
    • 2005-08-11
    • US10995764
    • 2004-11-22
    • Patrick JennySeong LeeHamdi Tchelepi
    • Patrick JennySeong LeeHamdi Tchelepi
    • G01V11/00G06F17/50G06G20060101G06G7/48
    • G06F17/5018G01V11/00G06F2217/16
    • A multi-scale finite-volume (MSFV) method to solve elliptic problems with a plurality of spatial scales arising from single or multi-phase flows in porous media is provided. Two sets of locally computed basis functions are employed. A first set of basis functions captures the small-scale heterogeneity of the underlying permeability field, and it is computed to construct the effective coarse-scale transmissibilities. A second set of basis functions is required to construct a conservative fine-scale velocity field. The method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly. The underlying idea is to construct transmissibilities that capture the local properties of a differential operator. This leads to a multi-point discretization scheme for a finite-volume solution algorithm. Transmissibilities for the MSFV method are preferably constructed only once as a preprocessing step and can be computed locally. Therefore, this step is well suited for massively parallel computers. Furthermore, a conservative fine-scale velocity field can be constructed from a coarse-scale pressure solution which also satisfies the proper mass balance on the fine scale. A transport problem is ideally solved iteratively in two stages. In the first stage, a fine scale velocity field is obtained from solving a pressure equation. In the second stage, the transport problem is solved on the fine cells using the fine-scale velocity field. A solution may be computed on the coarse cells at an incremental time and properties, such as a mobility coefficient, may be generated for the fine cells at the incremental time. If a predetermined condition is not met for all fine cells inside a dual coarse control volume, then the dual and fine scale basis functions in that dual coarse control volume are reconstructed.
    • 提供了一种多尺度有限体积(MSFV)方法,用于解决多孔介质中单相或多相流产生的多个空间尺度的椭圆问题。 采用两组本地计算的基函数。 第一组基础函数捕捉了潜在渗透率场的小规模异质性,并计算其构建有效的粗尺度透射率。 需要第二组基函数来构建保守的精细尺度速度场。 该方法有效地捕获了小格子对粗网格的影响,是保守的,并且正确地对待张量渗透率。 基本思想是构建捕获差分算子的局部属性的透射率。 这导致了用于有限体积解算法的多点离散化方案。 MSFV方法的透射优选仅作为预处理步骤构造一次,并且可以在本地计算。 因此,此步骤非常适合大规模并行计算机。 此外,保守的细小尺度速度场可以从粗尺度压力解决方案构建,也可以在精细尺度上满足适当的质量平衡。 运输问题在两个阶段反复理想地解决。 在第一阶段,通过求解压力方程得到了一个精细的尺度速度场。 在第二阶段,使用细小尺度速度场在细胞上解决运输问题。 可以在增量时间对粗细胞计算解,并且可以在增量时间为精细细胞产生诸如迁移率系数的性质。 如果对于双粗略控制体内的所有精细单元不满足预定条件,则重构该双重粗调控制体积中的双重和精细比例基准函数。