Statistical damage model of rock considering pore water pressure and multifractal characteristics
- 1Guizhou Communications Polytechnic University, Guiyang, China
- 2The Finance Bureau of Suihua City, Heilongjiang Province, Suihua, China
Abstract
A statistical damage model incorporating multifractal characteristics is proposed for micro-fractured rocks subjected to pore water pressure. Based on the assumption that microelement strength follows a Weibull distribution, the unified strength theory is adopted as the statistical variable, and a relative fractal dimension λ is introduced to quantitatively characterize the heterogeneity and anisotropy of the material, thereby establishing a statistical damage model for the rock, which is finally validated through experiments. The results show that: (1) The model predictions agree well with test curves, effectively reflecting the mechanical responses under varying pore water pressures; (2) Increasing pore water pressure accelerates damage evolution, lowers the critical damage threshold, and promotes rock failure; (3) A larger relative fractal dimension λ reduces microelement strength concentration, brittleness, damage threshold, and overall strength, making the rock more prone to instability. This study provides a reference for safety analysis of rock engineering under stress‑seepage coupling conditions.
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BibTeX
@article{zhang2026statistical,
title = {{Statistical damage model of rock considering pore water pressure and multifractal characteristics}},
author = {Yonghui Zhang and Fangtao Li},
journal = {PLOS One},
year = {2026},
month = sep,
doi = {10.1371/journal.pone.0358254},
url = {https://doi.org/10.1371/journal.pone.0358254},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Statistical damage model of rock considering pore water pressure and multifractal characteristics
AU - Yonghui Zhang
AU - Fangtao Li
PY - 2026
DA - 2026/09/15
JO - PLOS One
DO - 10.1371/journal.pone.0358254
UR - https://doi.org/10.1371/journal.pone.0358254
AB - A statistical damage model incorporating multifractal characteristics is proposed for micro-fractured rocks subjected to pore water pressure. Based on the assumption that microelement strength follows a Weibull distribution, the unified strength theory is adopted as the statistical variable, and a relative fractal dimension λ is introduced to quantitatively characterize the heterogeneity and anisotropy of the material, thereby establishing a statistical damage model for the rock, which is finally validated through experiments. The results show that: (1) The model predictions agree well with test curves, effectively reflecting the mechanical responses under varying pore water pressures; (2) Increasing pore water pressure accelerates damage evolution, lowers the critical damage threshold, and promotes rock failure; (3) A larger relative fractal dimension λ reduces microelement strength concentration, brittleness, damage threshold, and overall strength, making the rock more prone to instability. This study provides a reference for safety analysis of rock engineering under stress‑seepage coupling conditions.
SN - 1932-6203
ER -