论文标题
在均匀谷物包中建模水相对渗透性
Modeling water relative permeability in uniform grain packs
论文作者
论文摘要
由于其在土壤物理学和水文学以及石油和天然气的生产和恢复中的广泛应用，因此对水相对渗透率的准确估算引起了极大的兴趣。统计物理学的一种有前途的技术临界路径分析（CPA）众所周知，适用于具有广泛电导或孔径分布（PSD）的异质介质。通过异质性，我们的意思是孔隙空间的几何特性的变化。在这项研究中，我们证明CPA也适用于相同大小的球形包装，称为均匀的多孔介质。更具体地说，我们将CPA应用于对水相对渗透率（KRW）的单声尺寸球体包装的模型，其PSD相当狭窄。我们从（1）PSD和（2）估计KRW和（2）PSD和饱和依赖性的电导率（σ_R），用于排水和吸收过程。我们表明，单大球体的PSD大致遵循对数正态概率密度函数。与数值模拟的比较表明，与PSD相比，从PSD和σ_R数据中估计的吸收和排水KRW均可估计。我们表明，CPA可以精确地估计单个球体包装中的KRW。
Accurate estimation of water relative permeability has been of great interest in various research areas because of its broad applications in soil physics and hydrology as well as oil and gas production and recovery. Critical path analysis (CPA), a promising technique from statistical physics, is well known to be applicable to heterogeneous media with broad conductance or pore size distribution (PSD). By heterogeneity, we mean variations in the geometrical properties of pore space. In this study, we demonstrate that CPA is also applicable to packings of spheres of the same size, known as homogeneous porous media. More specifically, we apply CPA to model water relative permeability (krw) in mono-sized sphere packs whose PSDs are fairly narrow. We estimate the krw from (1) the PSD and (2) the PSD and saturation-dependent electrical conductivity (σ_r) for both drainage and imbibition processes. We show that the PSD of mono-sized sphere packs approximately follows the log-normal probability density function. Comparison with numerical simulations indicate that both the imbibition and drainage krw are estimated from the PSD and σ_r data more accurately than those from the PSD. We show that CPA can estimate krw in mono-sized sphere packs precisely.
