### Abstract

The SAGD process utilizes horizontal wells hence permeability anisotropy can play a very strong role in recovery. In fact, it has been well documented that poor vertical permeability kills the SAGD process because the steam chamber will not grow properly. Several authors have attempted to model this phenomenom by using time-independent averaging (e.g. harmonic, geometric averaging etc.) methods only to discover the inadequacy of such an approach as several field implementations reveal a definite time component to this effect. Consequently most studies on the effect of anisotropy during SAGD have involved only commercial simulators. However, there exists a need to describe this phenomenon quantitatively prior to any numerical simulation and delineating conditions where it can be considered important or not. Isotropy of permeability can be geometrically represented as a sphere (or circle in 2D) where the permeability radii are the same in all directions. Anisotropy can be represented as an ellipsoid (or ellipse in 2D) with varying permeability radii in different directions and the principal axes representing principal permeability directions. In this work, we assume that the principal axes point in the vertical and horizontal directions. We will show that the SAGD process has a unique geometry that allows a meaningful mapping of the steam chamber wall to the coordinate frame of such an ellipsoid. We will then use this transformation to incorporate permeability anisotropy within the framework of Butler type models. This will be done in dimensionless space and the results obtained can be used as type curves for correcting any isotropic SAGD model for anisotropic effects. Our results show that the effect of anisotropy is time dependent (generally obeying a sigmoid function) and there exists a given time for a given set of reservoir and fluid properties, after the effect of anisotropy ceases to exist. This is remarkable because it suggests a way to improve modeling efficiency for reservoirs with strong anisotropic permeabilities. Our results also explain why most other static averaging methods fail. The analytical expression can be used as a fast SAGD predictive model suitable for history matching purposes.

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

Title of host publication | Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011 |

Pages | 1766-1777 |

Number of pages | 12 |

State | Published - Dec 1 2011 |

Event | Canadian Unconventional Resources Conference 2011, CURC 2011 - Calgary, AB, Canada Duration: Nov 15 2011 → Nov 17 2011 |

### Publication series

Name | Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011 |
---|---|

Volume | 3 |

### Other

Other | Canadian Unconventional Resources Conference 2011, CURC 2011 |
---|---|

Country | Canada |

City | Calgary, AB |

Period | 11/15/11 → 11/17/11 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Geochemistry and Petrology
- Fuel Technology

### Cite this

*Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011*(pp. 1766-1777). (Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011; Vol. 3).

}

*Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011.*Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011, vol. 3, pp. 1766-1777, Canadian Unconventional Resources Conference 2011, CURC 2011, Calgary, AB, Canada, 11/15/11.

**Modeling the effect of permeability anisotropy on the steam-assisted gravity drainage (SAGD) process.** / Azom, Prince N.; Srinivasan, Sanjay.

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

TY - GEN

T1 - Modeling the effect of permeability anisotropy on the steam-assisted gravity drainage (SAGD) process

AU - Azom, Prince N.

AU - Srinivasan, Sanjay

PY - 2011/12/1

Y1 - 2011/12/1

N2 - The SAGD process utilizes horizontal wells hence permeability anisotropy can play a very strong role in recovery. In fact, it has been well documented that poor vertical permeability kills the SAGD process because the steam chamber will not grow properly. Several authors have attempted to model this phenomenom by using time-independent averaging (e.g. harmonic, geometric averaging etc.) methods only to discover the inadequacy of such an approach as several field implementations reveal a definite time component to this effect. Consequently most studies on the effect of anisotropy during SAGD have involved only commercial simulators. However, there exists a need to describe this phenomenon quantitatively prior to any numerical simulation and delineating conditions where it can be considered important or not. Isotropy of permeability can be geometrically represented as a sphere (or circle in 2D) where the permeability radii are the same in all directions. Anisotropy can be represented as an ellipsoid (or ellipse in 2D) with varying permeability radii in different directions and the principal axes representing principal permeability directions. In this work, we assume that the principal axes point in the vertical and horizontal directions. We will show that the SAGD process has a unique geometry that allows a meaningful mapping of the steam chamber wall to the coordinate frame of such an ellipsoid. We will then use this transformation to incorporate permeability anisotropy within the framework of Butler type models. This will be done in dimensionless space and the results obtained can be used as type curves for correcting any isotropic SAGD model for anisotropic effects. Our results show that the effect of anisotropy is time dependent (generally obeying a sigmoid function) and there exists a given time for a given set of reservoir and fluid properties, after the effect of anisotropy ceases to exist. This is remarkable because it suggests a way to improve modeling efficiency for reservoirs with strong anisotropic permeabilities. Our results also explain why most other static averaging methods fail. The analytical expression can be used as a fast SAGD predictive model suitable for history matching purposes.

AB - The SAGD process utilizes horizontal wells hence permeability anisotropy can play a very strong role in recovery. In fact, it has been well documented that poor vertical permeability kills the SAGD process because the steam chamber will not grow properly. Several authors have attempted to model this phenomenom by using time-independent averaging (e.g. harmonic, geometric averaging etc.) methods only to discover the inadequacy of such an approach as several field implementations reveal a definite time component to this effect. Consequently most studies on the effect of anisotropy during SAGD have involved only commercial simulators. However, there exists a need to describe this phenomenon quantitatively prior to any numerical simulation and delineating conditions where it can be considered important or not. Isotropy of permeability can be geometrically represented as a sphere (or circle in 2D) where the permeability radii are the same in all directions. Anisotropy can be represented as an ellipsoid (or ellipse in 2D) with varying permeability radii in different directions and the principal axes representing principal permeability directions. In this work, we assume that the principal axes point in the vertical and horizontal directions. We will show that the SAGD process has a unique geometry that allows a meaningful mapping of the steam chamber wall to the coordinate frame of such an ellipsoid. We will then use this transformation to incorporate permeability anisotropy within the framework of Butler type models. This will be done in dimensionless space and the results obtained can be used as type curves for correcting any isotropic SAGD model for anisotropic effects. Our results show that the effect of anisotropy is time dependent (generally obeying a sigmoid function) and there exists a given time for a given set of reservoir and fluid properties, after the effect of anisotropy ceases to exist. This is remarkable because it suggests a way to improve modeling efficiency for reservoirs with strong anisotropic permeabilities. Our results also explain why most other static averaging methods fail. The analytical expression can be used as a fast SAGD predictive model suitable for history matching purposes.

UR - http://www.scopus.com/inward/record.url?scp=84860606192&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860606192&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84860606192

SN - 9781618394217

T3 - Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011

SP - 1766

EP - 1777

BT - Society of Petroleum Engineers - Canadian Unconventional Resources Conference 2011, CURC 2011

ER -