Estimating Permeability of Partially Frozen Soil Using Floating Random Walks

Estimating Permeability of Partially Frozen Soil Using Floating Random Walks
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使用浮动随机游走估计部分冻土的渗透性

DOI:
10.1029/2021wr030598
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发表时间:
2021-06
影响因子:
5.4
通讯作者:
Rempel Alan W.
Rempel Alan W.
中科院分区:
地球科学1区
文献类型:
--
作者:
Chen Jiangzhi;Mei Shenghua;Rempel Alan W.

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含冰或天然气水合物颗粒介质中部分冻结孔隙中的流动在包括甲烷运移和冻胀在内的各种现象中起着至关重要的作用。随着冻结的进行,冻结相在孔隙空间中生长并收缩流动路径,使得渗透率降低。以前的工作已经测量了渗透率和冻结相的体积分数之间的关系,并提出了各种相关性来预测水文和石油工业中的渗透率变化。然而,不同公式的预测可能相差几个数量级,导致建模结果存在很大的不确定性。我们提出了一种浮动随机游走方法来近似多孔流场和估计有效渗透率在各向同性颗粒介质与指定的颗粒尺寸分布,而无需求解整个流场的孔隙空间。在填充的球形颗粒中,该方法与Kozeny卡曼公式相比较有利。我们进一步扩展这种方法的概率解释的体积分数的冻结相,模拟不规则孔隙中的冻结效果,并预测渗透率的演变。在没有可调参数的情况下,我们的研究结果可以深入了解相变和渗透率变化之间的耦合,这在水合物的形成和分解以及永久冻土的融化和冻结以及冰川下的冰床耦合中起着重要作用。
Flow through partially frozen pores in granular media containing ice or gas hydrate plays an essential role in diverse phenomena including methane migration and frost heave. As freezing progresses, the frozen phase grows in the pore space and constricts flow paths so that the permeability decreases. Previous works have measured the relationship between permeability and volumetric fraction of the frozen phase, and various correlations have been proposed to predict permeability change in hydrology and the oil industry. However, predictions from different formulae can differ by orders of magnitude, causing great uncertainty in modeling results. We present a floating random walk method to approximate the porous flow field and estimate the effective permeability in isotropic granular media with specified particle size distributions, without solving for the entire flow field in the pore space. In packed spherical particles, the method compares favorably with the Kozeny‐Carman formula. We further extend this method with a probabilistic interpretation of the volumetric fraction of the frozen phase, simulate the effect of freezing in irregular pores, and predict the evolution of permeability. Employing no adjustable parameters, our results can provide insight into the coupling between phase transitions and permeability change, which plays important roles in hydrate formation and dissociation, as well as in the thawing and freezing of permafrost and ice‐bed coupling beneath glaciers.
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