### Abstract

We propose a numerical model of liquid-saturated porous material, based on a coupled approach combining a discrete elements method and finite difference method. An ensemble of discrete elements simulates processes of deformation of a porous solid and filtration of single-phase liquid in an interconnected network of "micropores". Mass transfer of a fluid between the "micropores" and "macropores" (the latter are considered as the areas between spatially separated and non-interacting discrete elements) is calculated on a finer grid superimposed on an ensemble of movable discrete elements. The developed model was applied to study a mechanical response of brittle samples with water-saturated pore volume. It has been shown that the strength of liquid-saturated samples is determined not only by strength properties of "dry" material and a pore pressure, but largely by sample geometry, deformation rate and characteristics of porosity of a material. We suggest a generalizing dependence of the uniaxial compressive strength of water-saturated permeable brittle material on the specific diameter of filtration channels, which is the ratio of the characteristic diameter of the filtration channels to the square root of the strain rate. Values of parameters of mentioned dependence are strongly connected with the character of the relation between pore volume and pressure of a liquid.

Original language | English |
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Title of host publication | Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 |

Publisher | International Center for Numerical Methods in Engineering |

Pages | 442-450 |

Number of pages | 9 |

ISBN (Print) | 9788494424472 |

Publication status | Published - 2015 |

Event | 4th International Conference on Particle-Based Methods, PARTICLES 2015 - Barcelona, Spain Duration: 28 Sep 2015 → 30 Sep 2015 |

### Other

Other | 4th International Conference on Particle-Based Methods, PARTICLES 2015 |
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Country | Spain |

City | Barcelona |

Period | 28.9.15 → 30.9.15 |

### Fingerprint

### Keywords

- Discrete elements
- Finite difference
- Liquid
- Porous media

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015*(pp. 442-450). International Center for Numerical Methods in Engineering.

**A theoretical investigation of a mechanical response of fluid-saturated porous materials based on a coupled discrete-continuum approach.** / Dimaki, Andrey V.; Shilko, Evgeny V.; Astafurov, Sergei V.; Psakhie, Sergei G.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015.*International Center for Numerical Methods in Engineering, pp. 442-450, 4th International Conference on Particle-Based Methods, PARTICLES 2015, Barcelona, Spain, 28.9.15.

}

TY - GEN

T1 - A theoretical investigation of a mechanical response of fluid-saturated porous materials based on a coupled discrete-continuum approach

AU - Dimaki, Andrey V.

AU - Shilko, Evgeny V.

AU - Astafurov, Sergei V.

AU - Psakhie, Sergei G.

PY - 2015

Y1 - 2015

N2 - We propose a numerical model of liquid-saturated porous material, based on a coupled approach combining a discrete elements method and finite difference method. An ensemble of discrete elements simulates processes of deformation of a porous solid and filtration of single-phase liquid in an interconnected network of "micropores". Mass transfer of a fluid between the "micropores" and "macropores" (the latter are considered as the areas between spatially separated and non-interacting discrete elements) is calculated on a finer grid superimposed on an ensemble of movable discrete elements. The developed model was applied to study a mechanical response of brittle samples with water-saturated pore volume. It has been shown that the strength of liquid-saturated samples is determined not only by strength properties of "dry" material and a pore pressure, but largely by sample geometry, deformation rate and characteristics of porosity of a material. We suggest a generalizing dependence of the uniaxial compressive strength of water-saturated permeable brittle material on the specific diameter of filtration channels, which is the ratio of the characteristic diameter of the filtration channels to the square root of the strain rate. Values of parameters of mentioned dependence are strongly connected with the character of the relation between pore volume and pressure of a liquid.

AB - We propose a numerical model of liquid-saturated porous material, based on a coupled approach combining a discrete elements method and finite difference method. An ensemble of discrete elements simulates processes of deformation of a porous solid and filtration of single-phase liquid in an interconnected network of "micropores". Mass transfer of a fluid between the "micropores" and "macropores" (the latter are considered as the areas between spatially separated and non-interacting discrete elements) is calculated on a finer grid superimposed on an ensemble of movable discrete elements. The developed model was applied to study a mechanical response of brittle samples with water-saturated pore volume. It has been shown that the strength of liquid-saturated samples is determined not only by strength properties of "dry" material and a pore pressure, but largely by sample geometry, deformation rate and characteristics of porosity of a material. We suggest a generalizing dependence of the uniaxial compressive strength of water-saturated permeable brittle material on the specific diameter of filtration channels, which is the ratio of the characteristic diameter of the filtration channels to the square root of the strain rate. Values of parameters of mentioned dependence are strongly connected with the character of the relation between pore volume and pressure of a liquid.

KW - Discrete elements

KW - Finite difference

KW - Liquid

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=84960350080&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84960350080&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84960350080

SN - 9788494424472

SP - 442

EP - 450

BT - Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015

PB - International Center for Numerical Methods in Engineering

ER -