STRESS SENSITIVITY ANALYSIS OF FRACTAL POROUS MEDIA BASED ON THE ELASTO-PLASTIC THICK-WALLED CYLINDER MODEL

Zhaoqin Huang, Xin Su (), Yanchao Li, Kai Zhang and Jun Yao
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Zhaoqin Huang: School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, P. R. China
Xin Su: School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, P. R. China
Yanchao Li: ��CNPC Chuanqing Drilling Engineering Company Limited, Chengdu 610051, P. R. China
Kai Zhang: School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, P. R. China
Jun Yao: School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-14

Abstract: The stress-dependent flow and transport behaviors of porous media are ubiquitous in various scientific and engineering applications. It has been shown that the change of effective stress has important effects on the permeability and porosity of porous media. In this paper, a new stress sensitivity model for porous media is developed based on the fractal theory and the elasto-plastic thick-walled cylinder model. The proposed model is able to predict the elasto-plastic deformation of the fractal porous media under loading–unloading stress cycles, which plays a crucial role on the permanent variations of the permeability and porosity. It is found that the permeability of stress-sensitivity porous media is related to the capillary fractal dimension, capillary fractal tortuosity dimension, minimum and maximum capillary diameters, Young’s modulus and Poisson’s ratio of capillary. Each parameter has a clear physical meaning. The validity of the developed fractal model is verified by comparing the model predictions with the available experimental data.

Keywords: Thick Walled Cylinder; Fractal; Stress; Permeability; Porosity (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21501620

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DOI: 10.1142/S0218348X21501620

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