FRACTAL ANALYSIS OF NON-NEWTON FLUID GROUTING IN SOIL COMPOSED OF ARBITRARY CROSS-SECTIONAL CAPILLARIES

Lei Kou, Ronghu Miao and Fengyang Miao
Additional contact information
Lei Kou: School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China†Key Laboratory of Geotechnical and Underground, Engineering of the Ministry of Education, Tongji University, Shanghai 200092, P. R. China
Ronghu Miao: School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China
Fengyang Miao: School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-10

Abstract: The fractal theory has been applied to understand the transport law for the non-Newton Herschel–Bulkley (H-B) fluid grouting in fractal soil consisting of a bunch of arbitrary cross-sectional tortuous capillaries. The fractal models for the average flow velocity, starting pressure gradient and effective permeability are the functions of the cross-sectional geometric factors of capillaries, minimum and maximum cross-sectional area of capillaries, porosity, fractal dimensions and characteristic parameters of H-B fluid. The proposed models are verified by comparing with the available models, and then the effects of cross-sectional shapes of capillaries and the characteristic parameters of H-B fluid on the average flow velocity, starting pressure gradient and effective permeability are also analyzed. The results show that the present models relate the characteristics of H-B fluid to the microstructure of soil, and both are the most important factors in determining the grouting effect.

Keywords: Fluid Grouting; Non-Newton Fluid; Cross-Sectional Capillaries; Microstructure of Soil; Fractal Theory (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21501395
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501395

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21501395

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().