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首页> 外文期刊>Journal of Computational Physics >Accurate multiscale finite element method for numerical simulation of two-phase flow in fractured media using discrete-fracture model
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Accurate multiscale finite element method for numerical simulation of two-phase flow in fractured media using discrete-fracture model

机译：离散裂缝模型在裂隙介质两相流数值模拟中的精确多尺度有限元方法

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摘要

Numerical simulation in naturally fractured media is challenging because of the coexistence of porous media and fractures on multiple scales that need to be coupled. We present a new approach to reservoir simulation that gives accurate resolution of both large-scale and fine-scale flow patterns. Multiscale methods are suitable for this type of modeling, because it enables capturing the large scale behavior of the solution without solving all the small features. Dual-porosity models in view of their strength and simplicity can be mainly used for sugar-cube representation of fractured media. In such a representation, the transfer function between the fracture and the matrix block can be readily calculated for water-wet media. For a mixed-wet system, the evaluation of the transfer function becomes complicated due to the effect of gravity.In this work, we use a multiscale finite element method (MsFEM) for two-phase flow in fractured media using the discrete-fracture model. By combining MsFEM with the discrete-fracture model, we aim towards a numerical scheme that facilitates fractured reservoir simulation without upscaling. MsFEM uses a standard Darcy model to approximate the pressure and saturation on a coarse grid, whereas fine scale effects are captured through basis functions constructed by solving local flow problems using the discrete-fracture model. The accuracy and the robustness of MsFEM are shown through several examples. In the first example, we consider several small fractures in a matrix and then compare the results solved by the finite element method. Then, we use the MsFEM in more complex models. The results indicate that the MsFEM is a promising path toward direct simulation of highly resolution geomodels.
机译：由于多孔介质和多种尺度裂缝需要共存，因此天然裂缝介质的数值模拟具有挑战性。我们提出了一种新的油藏模拟方法，该方法可为大型和精细规模的流型提供准确的分辨率。多尺度方法适用于这种类型的建模，因为它可以捕获解决方案的大规模行为，而无需解决所有小的特征。鉴于其强度和简单性，双重孔隙度模型可主要用于裂缝介质的方糖表示。以这种表示，对于水润湿的介质，可以很容易地计算出裂缝和基质块之间的传递函数。对于混合湿系统，由于重力的影响，传递函数的评估变得复杂。在这项工作中，我们使用离散裂缝模型对裂缝介质中的两相流使用多尺度有限元方法（MsFEM） 。通过将MsFEM与离散裂缝模型相结合，我们的目标是建立一种数值方案，以简化裂缝储层模拟而无需扩大规模。 MsFEM使用标准的达西模型来近似估计粗网格上的压力和饱和度，而通过使用离散裂缝模型来解决局部流动问题而构建的基函数可以捕获精细尺度的效果。通过几个示例显示了MsFEM的准确性和鲁棒性。在第一个示例中，我们考虑了矩阵中的几个小裂缝，然后比较了有限元法求解的结果。然后，我们在更复杂的模型中使用MsFEM。结果表明，MsFEM是直接模拟高分辨率地质模型的有希望的途径。

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