Permeability Upscaling Measured on a Block of Berea Sandstone: Results and Interpretation
Permeability Upscaling Measured on a Block of Berea Sandstone: Results and Interpretation
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在伯里亚砂岩块上测量的渗透率升级：结果和解释
DOI：
10.1023/a:1007568632217
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
John L. Wilson
中科院分区：
文献类型：
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作者：
V. Tidwell;John L. Wilson
为了对渗透率上升进行物理研究，在一块贝里亚砂岩上用四种不同的样品支架(即样品体积)测量了超过13,000个渗透率值。在每个样品支撑体上，在一致的流动几何和边界条件下，使用专门改装的微型渗透率测试系统，测量空间穷尽的渗透率数据集。在这里，我们介绍和分析了由2304个渗透率值组成的数据子集，这些数据来自于从垂直到分层的单一区块工作面。结果显示了一些不同和一致的趋势(即，升级)，将关键摘要统计数据的变化与越来越多的样本支持联系在一起。例如，样本均值和半方差函数范围随样本支持度的增加而增加，样本方差随样本支持度的增加而减少。为了帮助解释测量到的平均上标度，我们将其与仅适用于略有不同的流动几何形状的理论模型进行了比较。对比表明，微型渗透率计施加的不均匀流动和局部支撑体(即可获得数据的最小样本支撑体)尺度上的渗透率各向异性是测量上标度的主要控制因素。这项工作通过实验证明，将局部支承渗透率作为多孔介质的固有特征，即与其测量条件无关，并不总是合适的。
To physically investigate permeability upscaling, over 13,000 permeability values were measured with four different sample supports (i.e., sample volumes) on a block of Berea Sandstone. At each sample support, spatially exhaustive permeability datasets were measured, subject to consistent flow geometry and boundary conditions, with a specially adapted minipermeameter test system. Here, we present and analyze a subset of the data consisting of 2304 permeability values collected from a single block face oriented normal to stratification. Results reveal a number of distinct and consistent trends (i.e., upscaling) relating changes in key summary statistics to an increasing sample support. Examples include the sample mean and semivariogram range that increase with increasing sample support and the sample variance that decreases. To help interpret the measured mean upscaling, we compared it to theoretical models that are only available for somewhat different flow geometries. The comparison suggests that the nonuniform flow imposed by the minipermeameter coupled with permeability anisotropy at the scale of the local support (i.e., smallest sample support for which data is available) are the primary controls on the measured upscaling. This work demonstrates, experimentally, that it is not always appropriate to treat the local-support permeability as an intrinsic feature of the porous medium, that is, independent of its conditions of measurement.