Analytical solution for clay plug swelling experiments

Analytical solution for clay plug swelling experiments
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DOI:
10.1016/j.clay.2017.07.021
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发表时间:
2017-12
影响因子:
5.6
通讯作者:
S. Mathias;H. C. Greenwell;C. Withers;A. Erdoğan;J. McElwaine;C. MacMinn
S. Mathias;H. C. Greenwell;C. Withers;A. Erdoğan;J. McElwaine;C. MacMinn
中科院分区:
地球科学2区
文献类型:
--
作者:
S. Mathias;H. C. Greenwell;C. Withers;A. Erdoğan;J. McElwaine;C. MacMinn

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粘土膨胀实验经常涉及监测最初干燥的粘土塞在从其底部的供给源吸收水时随时间的一维位移。本文提出了一种新的解析解,用于解释此类实验,该解基于部分饱和多孔介质中的理查兹流动方程以及与水分比和孔隙比相关的线性经验函数。解析解仅由两个参数组描述。第一个参数组描述粘土的膨胀潜力。第二个参数组描述了膨胀塞达到平衡的速率,该速率由渗透率和毛细管压力控制。通过对伊利石和膨润土粘土膨胀实验的一维位移数据进行校准,证明了解析解的应用。
Clay swelling experiments frequently involve monitoring the one-dimensional displacement with time of an initially dry clay plug as it imbibes water from a supply at its base. This article presents a new analytical solution for interpreting such experiments based on Richards' equation for flow in a partially saturated porous medium combined with a linear empirical function relating moisture ratio with void ratio. The analytical solution is described by just two parameter groups. The first parameter group describes the swelling potential of the clay. The second parameter group describes the rate at which the swelling plug reaches equilibrium, which is controlled by permeability and capillary pressure. Application of the analytical solution is demonstrated by calibration to one-dimensional displacement data from clay swelling experiments for an illite and bentonite clay.