Local time–space mesh refinement for simulation of elastic wave propagation in multi-scale media

Kostin, V. I.; Lisitsa, Vadim; Reshetova, Galina; Tcheverda, Vladimir

doi:10.1016/j.jcp.2014.10.047

Cited by 44 publications

(7 citation statements)

References 91 publications

(126 reference statements)

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“…The first one is the use of bigger images up to 8000 3 voxels, i.e., about 800 correlation lengths. This will allow us to estimate the REV for transport properties by simulating fluid flow in the samples or mechanical properties by static, quasi-static [Milani et al, 2016;Quintal et al, 2011], or dynamic seismic modeling [Saenger et al, 2016[Saenger et al, , 2000Lisitsa and Vishnevskiy, 2010], Kostin et al [2015]. The second one is the use of statistically generated images with given geometrical, topological, and statistical properties which are reliably determined from the small-size images.…”

Section: Discussionmentioning

confidence: 99%

Effect of CT image size and resolution on the accuracy of rock property estimates

et al. 2017

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In order to study the effect of the micro‐CT scan resolution and size on the accuracy of upscaled digital rock property estimation of core samples Bentheimer sandstone images with the resolution varying from 0.9 μm to 24 μm are used. We statistically show that the correlation length of the pore‐to‐matrix distribution can be reliably determined for the images with the resolution finer than 9 voxels per correlation length and the representative volume for this property is about 153 correlation length. Similar resolution values for the statistically representative volume are also valid for the estimation of the total porosity, specific surface area, mean curvature, and topology of the pore space. Only the total porosity and the number of isolated pores are stably recovered, whereas geometry and the topological measures of the pore space are strongly affected by the resolution change. We also simulate fluid flow in the pore space and estimate permeability and tortuosity of the sample. The results demonstrate that the representative volume for the transport property calculation should be greater than 50 correlation lengths of pore‐to‐matrix distribution. On the other hand, permeability estimation based on the statistical analysis of equivalent realizations shows some weak influence of the resolution on the transport properties. The reason for this might be that the characteristic scale of the particular physical processes may affect the result stronger than the model (image) scale.

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Section: Discussionmentioning

confidence: 99%

Effect of CT image size and resolution on the accuracy of rock property estimates

et al. 2017

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“…We need to develop a completely new kind of wavefield interpolation that is accurate enough for a high upsampling ratio. Recently, Kostin et al (2015) proposed a novel approach to local time-space grid refinement, which is able to handle a high upsampling ratio since the local refinement of the wavefield on a coarse grid is based on the Fourier interpolation. Whereas, their method is valid only for an odd upsampling ratio.…”

Section: Introductionmentioning

confidence: 99%

Exact local refinement using Fourier interpolation for nonuniform-grid modeling

Zhang¹,

Yao²

2017

Earth and Planetary Physics

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Numerical solver using a uniform grid is popular due to its simplicity and low computational cost, but would be unfeasible in the presence of tiny structures in large‐scale media. It is necessary to use a nonuniform grid, where upsampling the wavefield from the coarse grid to the fine grid is essential for reducing artifacts. In this paper, we suggest a local refinement scheme using the Fourier interpolation, which is superior to traditional interpolation methods since it is theoretically exact if the input wavefield is band limited. Traditional interpolation methods would fail at high upsampling ratios (say 50); in contrast, our scheme still works well in the same situations, and the upsampling ratio can be any positive integer. A high upsampling ratio allows us to greatly reduce the computational burden and memory demand in the presence of tiny structures and large‐scale models, especially for 3D cases.

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“…Dumbser et al [17] associated space-time grids with the finite volume method to solve nonlinear systems like Euler equations for compressive gas dynamics or magnetohydrodynamics problems. Space-time grids have also been used with finite difference-like methods to solve wave propagation problems [18,19]. These methods are well known for going through a strong dependence on mesh properties.…”

Section: Introductionmentioning

confidence: 99%

An alternative space–time meshless method for solving transient heat transfer problems with high discontinuous moving sources

Sophy

Silva

Kribèche

et al. 2016

Numerical Heat Transfer, Part B: Fundamentals

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The aim of this work is the development of a space-time diffuse approximation meshless method (DAM) to solve heat equations containing discontinuous sources. This work is devoted to transient heat transfer problems with static and moving heat sources applied on a metallic plate and whose power presents temporal discontinuities. The space-time DAM using classical weight function is convenient for continuous transient heat transfer. Nevertheless, for problems including discontinuities, some spurious oscillations for the temperature field occur. A new weight function, respecting the principle of causality, is used to eradicate the physically unexpected oscillations.

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Local time–space mesh refinement for simulation of elastic wave propagation in multi-scale media

Cited by 44 publications

References 91 publications

Effect of CT image size and resolution on the accuracy of rock property estimates

Effect of CT image size and resolution on the accuracy of rock property estimates

Exact local refinement using Fourier interpolation for nonuniform-grid modeling

An alternative space–time meshless method for solving transient heat transfer problems with high discontinuous moving sources

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