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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Main Authors: Jingchen Zhang, Jingsheng Ma, Gary D. Couples, Nicholas Izuchukwu Osuji
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-12-01
Series:Frontiers in Earth Science
Subjects:
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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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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AT jingchenzhang shallowcompactionmodelingandupscalingaonedimensionalanalyticalsolutionandupscaling
AT jingshengma shallowcompactionmodelingandupscalingaonedimensionalanalyticalsolutionandupscaling
AT garydcouples shallowcompactionmodelingandupscalingaonedimensionalanalyticalsolutionandupscaling
AT nicholasizuchukwuosuji shallowcompactionmodelingandupscalingaonedimensionalanalyticalsolutionandupscaling