### Abstract

The double porosity theory was first given by Bareblatt, Zheltov and Kochina, which considers the effect of fissures and matrix porosity in the rock-mass seepage problem, and they introduced an assumption that the mass flow between the two porosity systems is determined by the pressure gap of the two systems. It was extended to deformable porous media (i.e., consolidation theory). These conventional double porosity theory is based on a local-averaged mixture theory. The modern homogenization theory was developed for the materials with periodic micro-structures. Starting with Navier-Stokes and mass-conservation equations and applying the homogenization procedure to a porous media flow yield Darcy's law and the seepage equation. It is important that the flow field in porous media is determined on a balance of the pressure field and the velocity field, and that we can identify the local pressure/velocity field by the homogenization theory. We here present a new double porosity theory applying on a multiscale homogenization analysis method for porous materials with two-scale porosity systems.

Original language | English |
---|---|

Pages (from-to) | 130-134 |

Number of pages | 5 |

Journal | Zairyo/Journal of the Society of Materials Science, Japan |

Volume | 51 |

Issue number | 2 |

Publication status | Published - Feb 2002 |

Externally published | Yes |

### Fingerprint

### Keywords

- Double porosity
- Fissured rock
- Geomechanics
- Homogenization
- Multiscale analysis

### ASJC Scopus subject areas

- Chemical Engineering (miscellaneous)
- Metals and Alloys
- Polymers and Plastics

### Cite this

**Double porousity theory in geomechanics and multiscale homogenization analysis.** / Ichikawa, Yasuaki.

Research output: Contribution to journal › Article

*Zairyo/Journal of the Society of Materials Science, Japan*, vol. 51, no. 2, pp. 130-134.

}

TY - JOUR

T1 - Double porousity theory in geomechanics and multiscale homogenization analysis

AU - Ichikawa, Yasuaki

PY - 2002/2

Y1 - 2002/2

N2 - The double porosity theory was first given by Bareblatt, Zheltov and Kochina, which considers the effect of fissures and matrix porosity in the rock-mass seepage problem, and they introduced an assumption that the mass flow between the two porosity systems is determined by the pressure gap of the two systems. It was extended to deformable porous media (i.e., consolidation theory). These conventional double porosity theory is based on a local-averaged mixture theory. The modern homogenization theory was developed for the materials with periodic micro-structures. Starting with Navier-Stokes and mass-conservation equations and applying the homogenization procedure to a porous media flow yield Darcy's law and the seepage equation. It is important that the flow field in porous media is determined on a balance of the pressure field and the velocity field, and that we can identify the local pressure/velocity field by the homogenization theory. We here present a new double porosity theory applying on a multiscale homogenization analysis method for porous materials with two-scale porosity systems.

AB - The double porosity theory was first given by Bareblatt, Zheltov and Kochina, which considers the effect of fissures and matrix porosity in the rock-mass seepage problem, and they introduced an assumption that the mass flow between the two porosity systems is determined by the pressure gap of the two systems. It was extended to deformable porous media (i.e., consolidation theory). These conventional double porosity theory is based on a local-averaged mixture theory. The modern homogenization theory was developed for the materials with periodic micro-structures. Starting with Navier-Stokes and mass-conservation equations and applying the homogenization procedure to a porous media flow yield Darcy's law and the seepage equation. It is important that the flow field in porous media is determined on a balance of the pressure field and the velocity field, and that we can identify the local pressure/velocity field by the homogenization theory. We here present a new double porosity theory applying on a multiscale homogenization analysis method for porous materials with two-scale porosity systems.

KW - Double porosity

KW - Fissured rock

KW - Geomechanics

KW - Homogenization

KW - Multiscale analysis

UR - http://www.scopus.com/inward/record.url?scp=0036464255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036464255&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036464255

VL - 51

SP - 130

EP - 134

JO - Zairyo/Journal of the Society of Materials Science, Japan

JF - Zairyo/Journal of the Society of Materials Science, Japan

SN - 0514-5163

IS - 2

ER -