Fracturing dry and saturated porous media, Peridynamics and dispersion

Tao Ni; Lorenzo Sanavia; Mirco Zaccariotto; Ugo Galvanetto; Bernhard A. Schrefler

doi:10.1016/j.compgeo.2022.104990

Fracturing dry and saturated porous media, Peridynamics and dispersion

Tao Ni, Lorenzo Sanavia, Mirco Zaccariotto, Ugo Galvanetto, Bernhard A. Schrefler

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Peridynamics is currently widely used because of its superior ability to model dynamic crack propagation and branching. This is particularly important in geophysics problems involving seismicity, in steering of hydraulic fracture operations and in fracturing saturated/partially saturated geomaterials. Unfortunately, Peridynamics may exhibit an undesirable dispersion behavior. It is shown that in coupled peridynamics/finite element models for multiphase porous media the dispersion behavior is substantially improved because of the presence of a Laplacian in the mass balance equation of the fluid linked to Darcy flow. The ensuing rate dependence and connected length scales in 1D and 2D/3D situations are recalled. Numerical experiments show that the resulting behavior due to these length scales is generally acceptable.

Original language	English (US)
Article number	104990
Journal	Computers and Geotechnics
Volume	151
DOIs	https://doi.org/10.1016/j.compgeo.2022.104990
State	Published - Nov 2022

Keywords

Dispersion behavior
Finite element method
Hybrid model
Internal length scales
Peridynamics
Porous media

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Computer Science Applications

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10.1016/j.compgeo.2022.104990

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title = "Fracturing dry and saturated porous media, Peridynamics and dispersion",

abstract = "Peridynamics is currently widely used because of its superior ability to model dynamic crack propagation and branching. This is particularly important in geophysics problems involving seismicity, in steering of hydraulic fracture operations and in fracturing saturated/partially saturated geomaterials. Unfortunately, Peridynamics may exhibit an undesirable dispersion behavior. It is shown that in coupled peridynamics/finite element models for multiphase porous media the dispersion behavior is substantially improved because of the presence of a Laplacian in the mass balance equation of the fluid linked to Darcy flow. The ensuing rate dependence and connected length scales in 1D and 2D/3D situations are recalled. Numerical experiments show that the resulting behavior due to these length scales is generally acceptable.",

keywords = "Dispersion behavior, Finite element method, Hybrid model, Internal length scales, Peridynamics, Porous media",

author = "Tao Ni and Lorenzo Sanavia and Mirco Zaccariotto and Ugo Galvanetto and Schrefler, {Bernhard A.}",

note = "Funding Information: U. Galvanetto and M. Zaccariotto would like to acknowledge the support they received from MIUR under the research project PRIN2017-DEVISU and from University of Padua under the research projects BIRD2018 NR.183703/18 and BIRD2020 NR.202824/20. Funding Information: This research is also financially supported by the Funds for National Science Foundation for Outstanding Young Scholars, China , Grant 42125702 ; Funds for Creative Research Groups of China , Grant 41521002 ; State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Independent Research Project SKLGP2021Z026 . Funding Information: B.A. Schrefler gratefully acknowledges the support of the Technische Universit{\"a}t M{\"u}nchen - Institute for Advanced Study, Germany . Funding Information: T. Ni would like to acknowledge the support he received from MIUR under the research project PRIN2017-DEVISU. Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

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doi = "10.1016/j.compgeo.2022.104990",

language = "English (US)",

volume = "151",

journal = "Computers and Geotechnics",

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AU - Sanavia, Lorenzo

AU - Zaccariotto, Mirco

AU - Galvanetto, Ugo

AU - Schrefler, Bernhard A.

N1 - Funding Information: U. Galvanetto and M. Zaccariotto would like to acknowledge the support they received from MIUR under the research project PRIN2017-DEVISU and from University of Padua under the research projects BIRD2018 NR.183703/18 and BIRD2020 NR.202824/20. Funding Information: This research is also financially supported by the Funds for National Science Foundation for Outstanding Young Scholars, China , Grant 42125702 ; Funds for Creative Research Groups of China , Grant 41521002 ; State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Independent Research Project SKLGP2021Z026 . Funding Information: B.A. Schrefler gratefully acknowledges the support of the Technische Universität München - Institute for Advanced Study, Germany . Funding Information: T. Ni would like to acknowledge the support he received from MIUR under the research project PRIN2017-DEVISU. Publisher Copyright: © 2022 Elsevier Ltd

PY - 2022/11

Y1 - 2022/11

N2 - Peridynamics is currently widely used because of its superior ability to model dynamic crack propagation and branching. This is particularly important in geophysics problems involving seismicity, in steering of hydraulic fracture operations and in fracturing saturated/partially saturated geomaterials. Unfortunately, Peridynamics may exhibit an undesirable dispersion behavior. It is shown that in coupled peridynamics/finite element models for multiphase porous media the dispersion behavior is substantially improved because of the presence of a Laplacian in the mass balance equation of the fluid linked to Darcy flow. The ensuing rate dependence and connected length scales in 1D and 2D/3D situations are recalled. Numerical experiments show that the resulting behavior due to these length scales is generally acceptable.

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Fracturing dry and saturated porous media, Peridynamics and dispersion

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