Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics
We demonstrate that the static elastic properties of a carbonate sample, comprised of dolomite and calcite, could be accurately predicted by Digital Rock Physics (DRP), a non-invasive testing method for simulating laboratory measurements. We present a state-of-the-art algorithm that uses X-ray Compu...
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| Format: | Article |
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Frontiers Media S.A.
2021-02-01
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| Series: | Frontiers in Earth Science |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/feart.2021.628544/full |
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| author | Ken Ikeda Shankar Subramaniyan Beatriz Quintal Eric James Goldfarb Erik H. Saenger Erik H. Saenger Erik H. Saenger Nicola Tisato |
| author_facet | Ken Ikeda Shankar Subramaniyan Beatriz Quintal Eric James Goldfarb Erik H. Saenger Erik H. Saenger Erik H. Saenger Nicola Tisato |
| author_sort | Ken Ikeda |
| collection | DOAJ |
| description | We demonstrate that the static elastic properties of a carbonate sample, comprised of dolomite and calcite, could be accurately predicted by Digital Rock Physics (DRP), a non-invasive testing method for simulating laboratory measurements. We present a state-of-the-art algorithm that uses X-ray Computed Tomography (CT) imagery to compute the elastic properties of a lacustrine rudstone sample. The high-resolution CT-images provide a digital sample that is used for analyzing microstructures and performing quasi-static compression numerical simulations. Here, we present the modified Segmentation-Less method withOut Targets method: a combination of segmentation-based and segmentation-less DRP. This new method assigns the spatial distribution of elastic properties of the sample based on homogenization theory and overcomes the monomineralic limitation of the previous work, allowing the algorithm to be used on polymineralic rocks. The method starts by partitioning CT-images of the sample into smaller sub-images, each of which contains only two phases: a mineral (calcite or dolomite) and air. Then, each sub-image is converted into elastic property arrays. Finally, the elastic property arrays from the sub-images are combined and fed into a finite element algorithm to compute the effective elastic properties of the sample. We compared the numerical results to the laboratory measurements of low-frequency elastic properties. We find that the Young’s moduli of both the dry and the fully saturated sample fall within 10% of the laboratory measurements. Our analysis also shows that segmentation-based DRP should be used cautiously to compute elastic properties of carbonate rocks similar to our sample. |
| first_indexed | 2024-12-17T06:31:10Z |
| format | Article |
| id | doaj.art-405d142e08034bf3b74c83f55625f9bb |
| institution | Directory Open Access Journal |
| issn | 2296-6463 |
| language | English |
| last_indexed | 2024-12-17T06:31:10Z |
| publishDate | 2021-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Earth Science |
| spelling | doaj.art-405d142e08034bf3b74c83f55625f9bb2022-12-21T22:00:09ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632021-02-01910.3389/feart.2021.628544628544Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock PhysicsKen Ikeda0Shankar Subramaniyan1Beatriz Quintal2Eric James Goldfarb3Erik H. Saenger4Erik H. Saenger5Erik H. Saenger6Nicola Tisato7Jackson School of Geosciences, The University of Texas at Austin, Austin, TX, United StatesDepartment of Earth Sciences, ETH Zurich, Zurich, SwitzerlandInstitute of Earth Sciences, University of Lausanne, Lausanne, SwitzerlandJackson School of Geosciences, The University of Texas at Austin, Austin, TX, United StatesDepartment of Civil and Environmental Engineering, Bochum University of Applied Sciences, Bochum, GermanyFraunhofer IEG, Institution for Energy Infrastructures and Geothermal Systems, Bochum, GermanyRuhr Universität Bochum, Institute of Geology, Mineralogy and Geophysics, Bochum, GermanyJackson School of Geosciences, The University of Texas at Austin, Austin, TX, United StatesWe demonstrate that the static elastic properties of a carbonate sample, comprised of dolomite and calcite, could be accurately predicted by Digital Rock Physics (DRP), a non-invasive testing method for simulating laboratory measurements. We present a state-of-the-art algorithm that uses X-ray Computed Tomography (CT) imagery to compute the elastic properties of a lacustrine rudstone sample. The high-resolution CT-images provide a digital sample that is used for analyzing microstructures and performing quasi-static compression numerical simulations. Here, we present the modified Segmentation-Less method withOut Targets method: a combination of segmentation-based and segmentation-less DRP. This new method assigns the spatial distribution of elastic properties of the sample based on homogenization theory and overcomes the monomineralic limitation of the previous work, allowing the algorithm to be used on polymineralic rocks. The method starts by partitioning CT-images of the sample into smaller sub-images, each of which contains only two phases: a mineral (calcite or dolomite) and air. Then, each sub-image is converted into elastic property arrays. Finally, the elastic property arrays from the sub-images are combined and fed into a finite element algorithm to compute the effective elastic properties of the sample. We compared the numerical results to the laboratory measurements of low-frequency elastic properties. We find that the Young’s moduli of both the dry and the fully saturated sample fall within 10% of the laboratory measurements. Our analysis also shows that segmentation-based DRP should be used cautiously to compute elastic properties of carbonate rocks similar to our sample.https://www.frontiersin.org/articles/10.3389/feart.2021.628544/fullDigital Rock Physics (DRP)carbonateX-ray computed tomograghylow-frequency measurementnumerical simulationfinite element analysis |
| spellingShingle | Ken Ikeda Shankar Subramaniyan Beatriz Quintal Eric James Goldfarb Erik H. Saenger Erik H. Saenger Erik H. Saenger Nicola Tisato Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics Frontiers in Earth Science Digital Rock Physics (DRP) carbonate X-ray computed tomograghy low-frequency measurement numerical simulation finite element analysis |
| title | Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics |
| title_full | Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics |
| title_fullStr | Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics |
| title_full_unstemmed | Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics |
| title_short | Low-Frequency Elastic Properties of a Polymineralic Carbonate: Laboratory Measurement and Digital Rock Physics |
| title_sort | low frequency elastic properties of a polymineralic carbonate laboratory measurement and digital rock physics |
| topic | Digital Rock Physics (DRP) carbonate X-ray computed tomograghy low-frequency measurement numerical simulation finite element analysis |
| url | https://www.frontiersin.org/articles/10.3389/feart.2021.628544/full |
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