1887

Abstract

Summary

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.

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/content/papers/10.3997/2214-4609.201801407
2018-06-11
2024-03-29
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References

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