Spontaneous imbibition in fractal tortuous micro-nano pores considering dynamic contact angle and slip effect: phase portrait analysis and analytical solutions.
Spontaneous imbibition in fractal tortuous micro-nano pores considering dynamic contact angle and slip effect: phase portrait analysis and analytical solutions.
复制标题
DOI：
10.1038/s41598-018-21002-y
复制
发表时间：
2018-03-02
影响因子：
4.6
通讯作者：
Liu T
中科院分区：
文献类型：
--
作者：
Li C;Shen Y;Ge H;Zhang Y;Liu T
页岩具有丰富的微纳孔隙。同时，在水力压裂过程中，有相当数量的压裂液被自发吸收。弯曲微纳孔隙的自吸是页岩所特有的，动态接触角和滑动是两个重要特征。本文主要研究了分形弯曲毛细血管中考虑动态接触角和滑移效应的自发吸胀现象。引入相象分析来分析渗吸的动态状态和稳定性。推导了特殊情况下吸胀方程的解析解，并用已发表的数据进行了验证。最后讨论了滑移长度、动态接触角和重力对自吸的影响。分析表明，相画像是一种理想的分析自吸的工具，因为它可以在不求解复杂的常微分方程的情况下评价自吸过程。此外，动态接触角和滑移效应对分形弯曲毛细血管的吸胀也起着重要作用。忽略微纳孔隙中的滑动效应明显低估了吸胀能力，忽略接触角的变化会导致吸胀初期速度预测不准确。最后，重力是控制吸胀过程稳定性的因素之一。
Shales have abundant micro-nano pores. Meanwhile, a considerable amount of fracturing liquid is imbibed spontaneously in the hydraulic fracturing process. The spontaneous imbibition in tortuous micro-nano pores is special to shale, and dynamic contact angle and slippage are two important characteristics. In this work, we mainly investigate spontaneous imbibition considering dynamic contact angle and slip effect in fractal tortuous capillaries. We introduce phase portrait analysis to analyse the dynamic state and stability of imbibition. Moreover, analytical solutions to the imbibition equation are derived under special situations, and the solutions are verified by published data. Finally, we discuss the influences of slip length, dynamic contact angle and gravity on spontaneous imbibition. The analysis shows that phase portrait is an ideal tool for analysing spontaneous imbibition because it can evaluate the process without solving the complex governing ordinary differential equations. Moreover, dynamic contact angle and slip effect play an important role in fluid imbibition in fractal tortuous capillaries. Neglecting slip effect in micro-nano pores apparently underestimates imbibition capability, and ignoring variations in contact angle causes inaccuracy in predicting imbibition speed at the initial stage of the process. Finally, gravity is one of the factors that control the stabilisation of the imbibition process.
登录
查看更多内容
影响因子：
8.6
作者：
Bonaccurso, E;Kappl, M;Butt, HJ
通讯作者：
Butt, HJ
DOI：
10.1190/int-2016-0100.1
发表时间：
2017-05-01
影响因子：
1.2
作者：
Afsharpoor, Ali;Javadpour, Farzam;Liang, Quansheng
通讯作者：
Liang, Quansheng
DOI：
10.1115/1.1937420
发表时间：
2005-09-01
影响因子：
3
作者：
Bennion, DB;Thomas, FB
通讯作者：
Thomas, FB
影响因子：
2.9
作者：
BRYANT, S;BLUNT, M
通讯作者：
BLUNT, M
影响因子：
9.9
作者：
Hilpert, Markus
通讯作者：
Hilpert, Markus