Volume 49, Issue 12 pp. 2832-2848
RESEARCH ARTICLE

Vacuum Filtration Theory for Slurry Considering Bidirectional Deformation Based on Elliptical Cylinder Model

Jiahao Wang

Jiahao Wang

College of Civil Engineering and Architecture, Quzhou University, Quzhou, Zhejiang, China

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Li Shi

Corresponding Author

Li Shi

College of Civil Engineering, Zhejiang University of Technology, Hangzhou, Zhejiang, China

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Hongxu Jin

Hongxu Jin

College of Civil Engineering and Architecture, Quzhou University, Quzhou, Zhejiang, China

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Bo Chen

Bo Chen

College of Civil Engineering and Architecture, Quzhou University, Quzhou, Zhejiang, China

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Zhen Huang

Zhen Huang

College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, Zhejiang, China

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First published: 11 June 2025

Funding: This work was financially supported by National Natural Science Foundation of China (Grant Number: 52278377) and Natural Science Foundation of Zhejiang Province (Grant Number: LZ22E080009).

ABSTRACT

Vacuum preloading combined with prefabricated vertical drains is commonly used for enhancing the high water content slurry. However, the process of slurry dewatering, which is inherently a filtration problem, is difficult to describe using consolidation theories. This study presents a new vacuum filtration theory for slurry based on the elliptical cylinder model, where the radial and vertical deformations are governed by the equal settlement assumption. To describe the permeability and compressibility of slurry, the extended power function equations are adopted. The governing equations associated with the influenced zone and the moving boundary are essential components of the vacuum filtration theory, which are solved by the finite difference method. The applicability of the theory is confirmed by comparing the results of it with the laboratory tests and the radial filtration theory. Depending on the properties of the slurry used in the laboratory tests, the filtration behaviour are analysed. Finally, parametric analysis is carried out to investigate the effect of vacuum pressure on the filtration behaviour of the slurry.

Data Availability Statement

Some or all data, models or code that support the findings of this study are available from the corresponding author upon reasonable request.

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