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首页> 外文期刊>Applied Mathematical Modelling >Fluid flow, relative permeabilities and capillary pressure curves through heterogeneous porous media
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Fluid flow, relative permeabilities and capillary pressure curves through heterogeneous porous media

机译：通过非均质多孔介质的流体流量，相对渗透率和毛细管压力曲线

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摘要

There is a growing interest in fluid flow through rocks which show a large range, or heterogeneity, in pore sizes (from order tens of nanometres up to a hundred microns) which lead to small porosities and permeabilities. Digital imagery of these rocks yield under-resolved pore structures or a gray-scale sample. In this work we use the gray-scale lattice Boltzmann (LB) method to determine flow of two, immiscible fluids through such three-dimensional porous media. The method yields transient and equilibrium flow fields from which we determine relative permeability and capillary pressure curves. The method is applied to real digital rock data to extract flow properties through the sample. Both single phase and multiphase LB simulations are carried out. We find low permeabilities (of the order of milli-Darcy) together with large residual saturations (between 50-75%), indicative of a rock sample which has void regions remote from each other, i.e. either disconnected or connected by very narrow pore throats. Crown Copyright (C) 2019 Published by Elsevier Inc. All rights reserved.
机译：人们对流经岩石的流体的兴趣日益浓厚，这些岩石表现出大范围的孔隙或不均匀的孔隙（从几十纳米到一百微米），从而导致较小的孔隙率和渗透率。这些岩石的数字图像产生了分辨率较差的孔隙结构或灰度样本。在这项工作中，我们使用灰度格子玻尔兹曼（LB）方法确定通过这种三维多孔介质的两种不混溶流体的流动。该方法产生瞬态和平衡流场，从中我们可以确定相对渗透率和毛细管压力曲线。该方法适用于真实的数字岩石数据，以提取通过样品的流动特性。进行了单相和多相LB仿真。我们发现渗透率低（大约达西数），而残余饱和度大（在50％至75％之间），表明岩石样品具有彼此远离的空隙区域，即通过非常狭窄的孔喉断开或连接。 Crown版权所有（C）2019，由Elsevier Inc.保留所有权利。

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