Digital rock physics: Calculation of effective elastic properties of heterogeneous materials using graphical processing units (GPUs)

IF 4.2 2区地球科学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers & Geosciences Pub Date : 2024-11-06 DOI:10.1016/j.cageo.2024.105749

Yury Alkhimenkov

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Abstract

An application based on graphical processing units (GPUs) applied to 3-D digital images is described for computing the linear anisotropic elastic properties of heterogeneous materials. The application can also retrieve the property contribution tensors of individual inclusions of any shape. The code can be executed on professional GPUs as well as on a basic laptop or personal computer Nvidia GPUs. The application is extremely fast: a calculation of the effective elastic properties of volumes consisting of about 7 million voxel elements (191³) takes less than 4 s of computational time using a single A100 GPU; 3 min for 100 million voxel elements (479³) using a single A100 GPU; 14 min for 350 million voxel elements (703³) using a single A100 GPU. Several comparisons against analytical solutions are provided. In addition, an evaluation of the anisotropic effective elastic properties of a 3-D digital image of a cracked Carrara marble sample is presented. The software can be downloaded from a permanent repository Zenodo, the link with a doi is given in the manuscript.

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数字岩石物理学：利用图形处理器（GPU）计算异质材料的有效弹性特性

介绍了一种基于图形处理单元（GPU）应用于三维数字图像的应用程序，用于计算异质材料的线性各向异性弹性特性。该应用程序还可以检索任何形状的单个夹杂物的属性贡献张量。代码既可以在专业 GPU 上执行，也可以在基本的笔记本电脑或个人电脑 Nvidia GPU 上执行。该应用程序运行速度极快：使用单个 A100 GPU 计算由约 700 万个体素（1913 个）组成的体积的有效弹性特性只需不到 4 秒钟；使用单个 A100 GPU 计算 1 亿个体素（4793 个）只需 3 分钟；使用单个 A100 GPU 计算 3.5 亿个体素（7033 个）只需 14 分钟。提供了与分析解决方案的若干比较。此外，还介绍了对卡拉拉裂纹大理石样品三维数字图像的各向异性有效弹性特性的评估。该软件可从永久存储库 Zenodo 下载，手稿中提供了带 doi 的链接。

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来源期刊

Computers & Geosciences 地学-地球科学综合

CiteScore

9.30

自引率

6.80%

发文量

164

审稿时长

3.4 months

期刊介绍： Computers & Geosciences publishes high impact, original research at the interface between Computer Sciences and Geosciences. Publications should apply modern computer science paradigms, whether computational or informatics-based, to address problems in the geosciences.