Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling
Natural depositional processes frequently give rise to the heterogeneous multilayer system, which is often overlooked but essential for the simulation of a geological process. The sediments undergo the large-strain process in shallow depth and the small-strain process in deep depth. With the transfo...
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Frontiers Media S.A.
2021-12-01
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Series: | Frontiers in Earth Science |
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Online Access: | https://www.frontiersin.org/articles/10.3389/feart.2021.762176/full |
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author | Jingchen Zhang Jingchen Zhang Jingsheng Ma Gary D. Couples Nicholas Izuchukwu Osuji |
author_facet | Jingchen Zhang Jingchen Zhang Jingsheng Ma Gary D. Couples Nicholas Izuchukwu Osuji |
author_sort | Jingchen Zhang |
collection | DOAJ |
description | Natural depositional processes frequently give rise to the heterogeneous multilayer system, which is often overlooked but essential for the simulation of a geological process. The sediments undergo the large-strain process in shallow depth and the small-strain process in deep depth. With the transform matrix and Laplace transformation, a new method of solving multilayer small-strain (Terzaghi) and large-strain (Gibson) consolidations is proposed. The results from this work match the numerical results and other analytical solutions well. According to the method of transform matrix which can consider the integral properties of multilayer consolidation, a relevant upscaling method is developed. This method is more effective than the normally used weighted average method. Correspondingly, the upscaling results indicate that the upscaled properties of a multilayer system vary in the consolidation process. |
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institution | Directory Open Access Journal |
issn | 2296-6463 |
language | English |
last_indexed | 2024-12-22T15:52:38Z |
publishDate | 2021-12-01 |
publisher | Frontiers Media S.A. |
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series | Frontiers in Earth Science |
spelling | doaj.art-f2e64002201c4b40bd750fbf8b679a3f2022-12-21T18:20:52ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632021-12-01910.3389/feart.2021.762176762176Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and UpscalingJingchen Zhang0Jingchen Zhang1Jingsheng Ma2Gary D. Couples3Nicholas Izuchukwu Osuji4China University of Petroleum, Beijing, ChinaInstitute of Petroleum Engineering, Heriot-Watt University, Edinburgh, United KingdomInstitute of Petroleum Engineering, Heriot-Watt University, Edinburgh, United KingdomInstitute of Petroleum Engineering, Heriot-Watt University, Edinburgh, United KingdomChina University of Petroleum, Beijing, ChinaNatural depositional processes frequently give rise to the heterogeneous multilayer system, which is often overlooked but essential for the simulation of a geological process. The sediments undergo the large-strain process in shallow depth and the small-strain process in deep depth. With the transform matrix and Laplace transformation, a new method of solving multilayer small-strain (Terzaghi) and large-strain (Gibson) consolidations is proposed. The results from this work match the numerical results and other analytical solutions well. According to the method of transform matrix which can consider the integral properties of multilayer consolidation, a relevant upscaling method is developed. This method is more effective than the normally used weighted average method. Correspondingly, the upscaling results indicate that the upscaled properties of a multilayer system vary in the consolidation process.https://www.frontiersin.org/articles/10.3389/feart.2021.762176/fullTerzaghiGibsonmultilayer consolidationanalytical solutionupscaling |
spellingShingle | Jingchen Zhang Jingchen Zhang Jingsheng Ma Gary D. Couples Nicholas Izuchukwu Osuji Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling Frontiers in Earth Science Terzaghi Gibson multilayer consolidation analytical solution upscaling |
title | Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling |
title_full | Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling |
title_fullStr | Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling |
title_full_unstemmed | Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling |
title_short | Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling |
title_sort | shallow compaction modeling and upscaling a one dimensional analytical solution and upscaling |
topic | Terzaghi Gibson multilayer consolidation analytical solution upscaling |
url | https://www.frontiersin.org/articles/10.3389/feart.2021.762176/full |
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