Morphology and physical properties of Fontainebleau sandstone via a tomographic analysis
Morphology and physical properties of Fontainebleau sandstone via a tomographic analysis
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DOI：
10.1029/96jb00811
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发表时间：
1996-08-10
影响因子：
3.9
通讯作者：
Dunsmuir, JH
中科院分区：
文献类型：
--
作者：
Coker, DA;Torquato, S;Dunsmuir, JH
我们提出了一个枫丹白露砂岩的形态和整体物理性质的研究，通过X射线层析分析。基于同步辐射的X射线层析成像技术为我们提供了一个高分辨率（7.5 μ m），三维数字化表示的砂岩，留下完整的样品和不变的。为了估计枫丹白露砂岩标本的大量属性的广泛范围，我们从该图像中提取了一些不同的相关函数，这些相关函数统计表征孔隙空间形态和相关的孔隙空间长度和时间尺度。这些统计测量可从线性、平面和/或体积测量获得，包括孔隙度、比表面积、两点和三点概率函数、线性路径函数、弦长分布函数、孔径分布函数和粗糙度。特别地，孔径分布函数包含一定程度的连通性信息，因此只能从样品的三维表示中获得。砂岩的许多整体性质，例如平均存活时间τ（可从核磁共振弛豫研究获得）、流体渗透率k、有效电导率和热导率以及有效弹性模量，可以使用上述统计相关函数进行估计。具体来说，电导率（或等效地，地层因子F）、平均存活时间和流体渗透率是使用严格的界限确定的。平均存活时间和流体渗透率也发现使用直接模拟技术和跨属性的关系，分别。一个这样的交叉属性关系k取决于tau和F给出了渗透率估计，这是在实验结果的2倍。
We present a study of the morphology and bulk physical properties of a Fontainebleau sandstone via an X ray tomographic analysis. Synchrotron-based X ray tomographic techniques provide us with a high-resolution (7.5 mu m), three-dimensional digitized representation of the sandstone that leaves the sample intact and unaltered. To estimate a wide spectrum of bulk properties of the Fontainebleau sandstone specimen, we extract from this image a number of different correlation functions that statistically characterize the pore-space morphology and relevant pore-space length and time scales. These statistical measures are obtainable from lineal, plane, and/or volume measurements and include the porosity, specific surface, two-point and three-point probability functions, lineal-path function, chord-length distribution function, pore-size distribution function, and coarseness. The pore-size distribution function, in particular, contains a certain level of connectedness information and accordingly can only be obtained from a three-dimensional representation of the sample. Many bulk properties of the sandstone, such as the mean survival time tau (obtainable from Nuclear Magnetic Resonance relaxation studies), fluid permeability k, effective electrical and thermal conductivities, and effective elastic moduli, can be estimated using the aforementioned statistical correlation functions. Specifically, the electrical conductivity (or, equivalently, the formation factor F), mean survival time, and fluid permeability are determined using rigorous bounds. The mean survival time and fluid permeability are also found using direct simulation techniques and cross-property relations, respectively. One such cross-property relation for k depending on tau and F gives a permeability estimate that is within a factor of 2 of the experimental result.