页岩气在三维裂缝多孔介质中的流动数值模拟

Samuel J. Kazmouz, Andrea Giusti, Epaminondas Mastorakos
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引用次数: 10

摘要

本文提出了一种计算流体动力学(CFD)求解器,可以在宏观上模拟页岩气在多孔介质中的流动。页岩气的流动通过一个定制的控制方程来描述,其中流体性质和渗透率都表示为有效孔隙压力(应力效应)的函数,并通过表观渗透率包含Knudsen效应。该CFD求解器是在OpenFoam框架下开发的,可以模拟三维裂缝几何形状,而不受区域形状的限制。根据文献数据对求解器进行了评估和验证,在采收率和压力场剖面方面显示出良好的一致性。然后,该求解器用于探索影响页岩气动力学的两种不同现象:扩散行为和裂缝几何形状的影响。结果表明,页岩气流动在宏观层面上是一种以扩散为主的现象,其行为也可以用扩散方程定性地表示。研究还表明,页岩气的早期流动行为是由裂缝几何形状决定的,而储层尺寸对早期流动没有影响。最后,提出并讨论了一种新开发的“双区域”求解器,其中页岩基质和裂缝网络被建模为两个通过共同边界相互作用的不同区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical simulation of shale gas flow in three-dimensional fractured porous media

In this study, a Computational Fluid Dynamics (CFD) solver able to simulate shale gas flow as fluid flow in a porous medium on the macro level is presented. The shale gas flow is described by means of a tailored governing equation with both fluid properties and permeability expressed as a function of the effective pore pressure (stress effect) and with Knudsen effects included through an apparent permeability. This CFD solver, developed in the OpenFoam framework, allows for the simulation of three-dimensional fractured geometries without limitations on the shape of the domain. The solver was assessed and validated against literature data showing good agreement in terms of both recovery rate and pressure field profiles. The solver was then used to explore two different phenomena affecting shale gas dynamics: the diffusion behaviour and the influence of fracture geometry. It was shown that shale gas flow, on the macro level, is a diffusion-dominated phenomenon, and its behaviour can also be qualitatively represented by a diffusion equation. It was also shown that the early behaviour of shale gas flow is dictated by the fracture geometry, and that the reservoir dimensions have no effect on the flow at early times. Finally, a newly developed “dual-zone” solver, where the shale matrix and the fracture network are modelled as two distinct domains interacting through the common boundaries, is presented and discussed.

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