### Abstract

The differential effective medium theory is used to model the velocity of carbonates with two predefined end-member pore types and under dry and water saturated conditions. The dual porosity DEM takes into account input parameters derived from digital image analysis of thin sections. In particular the respective amount of microporosity and macroporosity and the aspect ratio of the macropores are incorporated. A conceptual aspect ratio of 0.1 for micropores and a measured aspect ratio of 0.5 for macropores is used as input parameters for the differential effective medium (DEM) model. The model predicts that the compliant micropores have a strong influence on the sonic velocity of porous carbonates because increasing concentrations of micropores reduce the rock stiffness. The model values are compared to high frequency (1MHz) laboratory velocity measurements. These velocity predictions with the dual porosity DEM model show significant better velocity prediction than empirical models, e.g. the Wyllie times average equation. We obtain a root-mean-square-error of 392 m/s when comparing predicted with measured velocity values. Our results also show that a differential effective medium model that uses measured input parameters from quantitative digital image analysis improves estimates of acoustic properties of carbonates.

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

Title of host publication | Society of Exploration Geophysicists - 77th SEG International Exposition and Annual Meeting, SEG 2007 |

Publisher | Society of Exploration Geophysicists |

Pages | 1589-1593 |

Number of pages | 5 |

ISBN (Print) | 9781604238976 |

State | Published - Jan 1 2007 |

Event | 77th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2007 - San Antonio, United States Duration: Sep 23 2007 → Sep 26 2007 |

### Other

Other | 77th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2007 |
---|---|

Country | United States |

City | San Antonio |

Period | 9/23/07 → 9/26/07 |

### Fingerprint

### ASJC Scopus subject areas

- Geophysics

### Cite this

*Society of Exploration Geophysicists - 77th SEG International Exposition and Annual Meeting, SEG 2007*(pp. 1589-1593). Society of Exploration Geophysicists.

**Modeling velocity in carbonates using a dual porosity DEM model.** / Baechle, Gregor T.; Colpaert, Arnout; Eberli, Gregor P; Weger, Ralf J.

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

*Society of Exploration Geophysicists - 77th SEG International Exposition and Annual Meeting, SEG 2007.*Society of Exploration Geophysicists, pp. 1589-1593, 77th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2007, San Antonio, United States, 9/23/07.

}

TY - GEN

T1 - Modeling velocity in carbonates using a dual porosity DEM model

AU - Baechle, Gregor T.

AU - Colpaert, Arnout

AU - Eberli, Gregor P

AU - Weger, Ralf J.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The differential effective medium theory is used to model the velocity of carbonates with two predefined end-member pore types and under dry and water saturated conditions. The dual porosity DEM takes into account input parameters derived from digital image analysis of thin sections. In particular the respective amount of microporosity and macroporosity and the aspect ratio of the macropores are incorporated. A conceptual aspect ratio of 0.1 for micropores and a measured aspect ratio of 0.5 for macropores is used as input parameters for the differential effective medium (DEM) model. The model predicts that the compliant micropores have a strong influence on the sonic velocity of porous carbonates because increasing concentrations of micropores reduce the rock stiffness. The model values are compared to high frequency (1MHz) laboratory velocity measurements. These velocity predictions with the dual porosity DEM model show significant better velocity prediction than empirical models, e.g. the Wyllie times average equation. We obtain a root-mean-square-error of 392 m/s when comparing predicted with measured velocity values. Our results also show that a differential effective medium model that uses measured input parameters from quantitative digital image analysis improves estimates of acoustic properties of carbonates.

AB - The differential effective medium theory is used to model the velocity of carbonates with two predefined end-member pore types and under dry and water saturated conditions. The dual porosity DEM takes into account input parameters derived from digital image analysis of thin sections. In particular the respective amount of microporosity and macroporosity and the aspect ratio of the macropores are incorporated. A conceptual aspect ratio of 0.1 for micropores and a measured aspect ratio of 0.5 for macropores is used as input parameters for the differential effective medium (DEM) model. The model predicts that the compliant micropores have a strong influence on the sonic velocity of porous carbonates because increasing concentrations of micropores reduce the rock stiffness. The model values are compared to high frequency (1MHz) laboratory velocity measurements. These velocity predictions with the dual porosity DEM model show significant better velocity prediction than empirical models, e.g. the Wyllie times average equation. We obtain a root-mean-square-error of 392 m/s when comparing predicted with measured velocity values. Our results also show that a differential effective medium model that uses measured input parameters from quantitative digital image analysis improves estimates of acoustic properties of carbonates.

UR - http://www.scopus.com/inward/record.url?scp=85055675534&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055675534&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781604238976

SP - 1589

EP - 1593

BT - Society of Exploration Geophysicists - 77th SEG International Exposition and Annual Meeting, SEG 2007

PB - Society of Exploration Geophysicists

ER -