Modelling the Elastic and Electrical Properties of Rocks with Complex Pore Geometries
P. Cilli and M. Chapman
Event name: 80th EAGE Conference and Exhibition 2018
Session: Rock Physics IV - Elastic and Electric Properties and Geothermal
Publication date: 11 June 2018
Info: Extended abstract, PDF ( 667.32Kb )
Price: € 20
The elastic and electrical modelling of rocks with complex pore geometries is a significant current challenge. Inclusion models allow overall physical properties to be related to idealised pore-geometries, but the applicability of these assumptions is open to question and results of application are often disappointing. In this paper, we combine inclusion models with an empirically derived power-law relation between porosity and pore-shape. For the electrical case, our work leads to a generalisation of Archie’s law with a physics-based relation between cementation factor and porosity. We test the resulting approach on several public domain laboratory datasets: 3 elastic, 4 electrical and 1 electrical-elastic. The power law model significantly reduces modelling error on both elastic and electrical data compared to a standard, single pore aspect ratio differential effective medium model, and the corrected Akaike Information Criterion test demonstrates our model is a significant improvement over the current techniques. Application to the electrical-elastic data suggests our approach may open the way to joint modelling of electrical and elastic properties with consistent pore-shape parameters.