### Abstract

Lubrication theory is used to study the permeability of rough-walled rock fractures. Two idealized models of a fracture, in which the roughness follows a sinusoidal or a sawtooth variation, are studied in detail. The results are similar to those found previously from numerical analysis of fractures with random aperture distributions, in that the ratio of the hydraulic aperture depends mainly on the mean and the standard deviation of the aperture distribution. Higher-order approximations to the Navier-Stokes equations are then studied, and it is concluded that the validity of the lubrication approximation requires the fracture walls to be smooth over lengths on the order of one standard deviation of the aperture.

Original language | English (US) |
---|---|

Title of host publication | High Level Radioactive Waste Management |

Editors | Anon |

Publisher | Publ by ASCE |

Pages | 535-541 |

Number of pages | 7 |

ISBN (Print) | 0872628310 |

State | Published - 1991 |

Event | Proceedings of the 2nd Annual International Conference on High Level Radioactive Waste Management - Las Vegas, NV, USA Duration: Apr 28 1991 → May 3 1991 |

### Other

Other | Proceedings of the 2nd Annual International Conference on High Level Radioactive Waste Management |
---|---|

City | Las Vegas, NV, USA |

Period | 4/28/91 → 5/3/91 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*High Level Radioactive Waste Management*(pp. 535-541). Publ by ASCE.

**Lubrication theory analysis of the permeability of rough-walled fractures.** / Zimmerman, R. W.; Kumar, S.; Bodvarsson, G. S.

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

*High Level Radioactive Waste Management.*Publ by ASCE, pp. 535-541, Proceedings of the 2nd Annual International Conference on High Level Radioactive Waste Management, Las Vegas, NV, USA, 4/28/91.

}

TY - GEN

T1 - Lubrication theory analysis of the permeability of rough-walled fractures

AU - Zimmerman, R. W.

AU - Kumar, S.

AU - Bodvarsson, G. S.

PY - 1991

Y1 - 1991

N2 - Lubrication theory is used to study the permeability of rough-walled rock fractures. Two idealized models of a fracture, in which the roughness follows a sinusoidal or a sawtooth variation, are studied in detail. The results are similar to those found previously from numerical analysis of fractures with random aperture distributions, in that the ratio of the hydraulic aperture depends mainly on the mean and the standard deviation of the aperture distribution. Higher-order approximations to the Navier-Stokes equations are then studied, and it is concluded that the validity of the lubrication approximation requires the fracture walls to be smooth over lengths on the order of one standard deviation of the aperture.

AB - Lubrication theory is used to study the permeability of rough-walled rock fractures. Two idealized models of a fracture, in which the roughness follows a sinusoidal or a sawtooth variation, are studied in detail. The results are similar to those found previously from numerical analysis of fractures with random aperture distributions, in that the ratio of the hydraulic aperture depends mainly on the mean and the standard deviation of the aperture distribution. Higher-order approximations to the Navier-Stokes equations are then studied, and it is concluded that the validity of the lubrication approximation requires the fracture walls to be smooth over lengths on the order of one standard deviation of the aperture.

UR - http://www.scopus.com/inward/record.url?scp=0025791110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025791110&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025791110

SN - 0872628310

SP - 535

EP - 541

BT - High Level Radioactive Waste Management

A2 - Anon, null

PB - Publ by ASCE

ER -