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Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs

机译:非均匀性保持裂缝中热传输的尺度   地热水库

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摘要

In simulation of fluid injection in fractured geothermal reservoirs, thecharacteristics of the physical processes are severely affected by the localoccurence of connected fractures. To resolve these structurally dominatedprocesses, there is a need to develop discretization strategies that also limitcomputational effort. In this paper we present an upscaling methodology forgeothermal heat transport with fractures represented explicitly in thecomputational grid. The heat transport is modeled by an advection-conductionequation for the temperature, and solved on a highly irregular coarse grid thatpreserves the fracture heterogeneity. The upscaling is based on differentstrategies for the advective term and the conductive term, respectively. Thecoarse scale advective term is constructed from sums of fine scale fluxes,whereas the coarse scale conductive term is constructed based on numericallycomputed basis functions. The method naturally incorporates a coupling betweenthe matrix and the fractures via the discretization, so that explicit transferterms that couple solution variables in the fractures and the matrix areavoided. Numerical results show that the upscaling methodology performs well,in particular for large upscaling ratios, and that it is applicable also tohighly complex fracture networks.
机译:在对裂缝性地热油藏流体注入的模拟中,物理过程的特征受到连接裂缝局部发生的严重影响。为了解决这些在结构上占主导地位的过程,需要开发离散化策略,这也限制了计算工作。在本文中,我们提出了一种地热传热的放大方法,其裂缝在计算网格中得到了明确表示。传热通过温度的对流传导方程来建模,并在高度不规则的粗网格上求解,该网格保留了裂缝的非均质性。升级分别基于对流项和传导项的不同策略。粗尺度对流项是由细尺度通量之和构成的,而粗尺度对流项是基于数值计算的基函数构造的。该方法自然通过离散化在基质和裂缝之间合并了耦合,因此显式传递项将裂缝和基质区域中的解变量耦合。数值结果表明,该放大方法尤其适用于较大的放大比例,效果很好,并且还适用于高度复杂的裂缝网络。

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