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Models for liquid relative permeability of cementitious porous media at elevated temperature: comparisons and discussions
Author(s) -
Peng Zeng,
Lin Long Mu,
Yi Ming Zhang
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019198
Subject(s) - spall , cementitious , materials science , porous medium , pore water pressure , permeability (electromagnetism) , explosive material , relative permeability , work (physics) , composite material , porosity , mechanics , cement , thermodynamics , geotechnical engineering , chemistry , geology , physics , biochemistry , organic chemistry , membrane
Fire-loaded cementitious material such as concrete experiences a rapid and dramatic pore pressure buildup, resulting in potential explosive spalling-sudden loss of the heated section-which can jeopardize the structure. Pore pressure buildup processes in heated concrete are closely related to the relative permeabilities of concrete to gas and liquid denoted by k rg and k rl , respectively. While k rg has been widely investigated experimentally, k rl is conventionally determined by semi-analytical meth-ods such as Mualem's model, the reliability of which has been questioned by indirect experimentation but is not fully understood. In this work, we discuss the potential overestimation of k rl by conventional model in consideration of the achievements of previous research. Then, by using different models, the influences of k rl on the pore pressure p g are shown and compared through numerical simulations with a well established thermo-hydro-chemical (THC) multifield framework, revealing that the conventional model provides smaller values of p g than other models. Finally, through a comparison with water con-tent results obtained from nuclear magnetic resonance (NMR) tests in publications [1], we prove that some other models produce results that are more agreeable than those of the conventional model, which cannot reproduce the steep increase in the moisture content with depth observed experimentally.

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