4.6 Article

A NEW RELATIVE PERMEABILITY MODEL OF UNSATURATED POROUS MEDIA BASED ON FRACTAL THEORY

出版社

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X20500024

关键词

Relative Permeability; Water Retention Curve; Unsaturated Flow; Porous Media; Fractal

资金

  1. Natural Science Foundation of China [51876196]
  2. Zhejiang Provincial Natural Science Foundation of China [LR19E060001]
  3. State Key Laboratory Cultivation Base for Gas Geology and Gas Control of Henan Polytechnic University [WS2018A02]

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The multiphase flow through unsaturated porous media and accurate estimation of relative permeability are significant for oil and gas reservoir, grounder water resource and chemical engineering, etc. A new fractal model is developed for the multiphase flow through unsaturated porous media, where multiscale pore structure is characterized by fractal scaling law and the trapped water in the pores is taken into account. And the analytical expression for relative permeability is derived accordingly. The relationships between the relative permeability and capillary head as well as saturation are determined. The proposed model is validated by comparison with 14 sets of experimental data, which indicates that the fractal model agrees well with experimental data. It has been found that the proposed fractal model shows evident advantages compared with BC-B model and VG-M model, especially for the porous media with fine content and texture. Further calculations show that water permeability decreases as the fractal dimension increases under fixed saturation because the cumulative volume fraction of small pores increases with the increment of the fractal dimension. The present fractal model for the relative permeability may be helpful to understand the multiphase flow through unsaturated porous media.

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