An Upscaling Technique for Geomechanical Properties
Authors
Marc-Olivier Titeux and Jean-Laurent Mallet and Jean-Jacques Royer
Journal/Article/Conference
X European Conference on the Mathematics of Oil Proceedings
Abstract
Fine levels of details for mechanical rock properties can be
simulated at the reservoir modeling stages thanks to the impressive
growing in computer power efficiency. However, It is sometimes
necessary to model large scale reservoirs with large cells, while
rock properties are determined at smaller scales. Then, the
challenge is to determine the equivalent properties of heterogenous
elastic but transversely isotropic materials at an intermediate
scale of the reservoir and not only at the laboratory sample scale.
This work presents a new technique in Upscaling for mechanical rock
properties. It implies a Finite-Element approach and a least-square
approximation.
Each coarse cell is composed of several fine-scale cells. Each of the
small cells is supposed to have isotropic elastic mechanical properties.
The main point of this work is to assume that the coarse cells are transversely
isotropic. Then, it is possible to build a local equivalent compliance tensor
on a coarse cell from three "numerical mechanical" experiments (two odoemetric
tests, and one pure shear) using Finite Elements Analysis. This methodology was
proposed by (Royer, 2005; Mallet, 2005) for permeability upscaling, which is
suggested here to be extended to geomechanical problems.
IMAGES
BibTeX Reference
@INPROCEEDINGS{titeuxetal2006ECMOR,
| AUTHOR
|
=
{Marc-Olivier Titeux and Jean-Laurent Mallet and Jean-Jacques Royer}
,
|
| TITLE
|
=
{An {U}pscaling {T}echnique for {G}eomechanical {P}roperties},
|
| BOOKTITLE
|
=
{X {E}uropean {C}onference on the {M}athematics of {O}il {P}roceedings},
|
| YEAR
|
=
{2006},
|
| address
|
=
{Amsterdam, {T}he {N}etherlands},
|
| organization
|
=
{European {A}ssociation of {G}eoscientist and {E}ngineers},
|
| month
|
=
{September}
|
}
@INPROCEEDINGS{titeuxetal2006ECMOR,