Open Access

ARTICLE

Dimensionless Variation of Seepage in Porous Media with Cracks Stimulated by Low-Frequency Vibration

Liming Zheng^{1, 3, *}, Xiaodong Han^{2, 4}, Xinjun Yang¹, Qingzhong Chu¹, Guanghui Li¹

1 College of Vehicles and Energy in Yanshan University, Qinhuangdao, China.
2 Institute of Unconventional Oil and Gas Science and Technology, China University of Petroleum, Beijing, China.
3 Mechanical Engineering Postdoctoral Station in Yanshan University, Qinhuangdao, China.
4 China National Offshore Oil Corporation China Ltd., Tianjin Branch, Tianjin, China.

* Corresponding Author: Liming Zheng. Email: .

(This article belongs to the Special Issue: Advances in Modeling and Simulation of Complex Heat Transfer and Fluid Flow)

Computer Modeling in Engineering & Sciences 2020, 122(3), 1055-1080. https://doi.org/10.32604/cmes.2020.07588

Received 09 June 2019; Accepted 28 October 2019; Issue published 01 March 2020

Abstract

Pulse excitation or vibration stimulation was imposed on the low permeable formation with cracks to enhance the production or injection capacity. During that process, a coupling of wave-induced flow and initial flow in dual-porous media was involved. Researchers had done much work on the rule of wave propagation in fractured porous media, whereas attentions on the variation law of flow in developing low permeable formation with cracks under vibration stimulation were not paid. In this study, the effect of low-frequency vibration on the seepage in dual-porous media was examined for the application of wave stimulation technology in developing reservoirs with natural cracks. A model for seepage of single-phase liquid in porous media with cracks under low-frequency vibration excitation was built by combining wave propagating theory for porous media with cracks and dual-porous media seepage mechanics. A governing equation group for the model, which was expressed by dimensionless fluid and solid displacements, was derived and solved with a numerical method. Variable physical properties were simulated to check the applicability of external low-frequency vibration load on dual-porous media and a parametric study for various vibration parameters. Stimulation of low-frequency vibration affected flow velocities of crack and rock matrix fluids. Compared with that in single-porous media, the stimulation effect on the fluid inner matrix of dual-porous media was relatively weakened. Different optimal vibration parameters were needed to increase the channeling flow between the crack and rock matrix or to only promote the flow velocity in the rock matrix. The theoretical study examines wave-coupled seepage field in fractured porous media with results that are applicable for low-frequency stimulation technology.

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