arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.11244cs.LG
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Machine learning applied in the multi-scale 3D stress modelling

Schlumberger Digital and Integration(斯伦贝谢数字与一体化)

Xavier Garcia, Adrian Rodriguez-Herrera

英文摘要:

This paper proposes a methodology to estimate stress in the subsurface by a hybrid method combining finite element modeling and neural networks. This methodology exploits the idea of obtaining a multi-frequency solution in the numerical modeling of systems whose behavior involves a wide span of length scales. One low-frequency solution is obtained via inexpensive finite element modeling at a coarse scale. The second solution provides the fine-grained details introduced by the heterogeneity of the free parameters at the fine scale. This high-frequency solution is estimated via neural networks -trained with partial solutions obtained in high-resolution finite-element models. When the coarse finite element solutions are combined with the neural network estimates, the results are within a 2\% error of the results that would be computed with high-resolution finite element models. This paper discusses the benefits and drawbacks of the method and illustrates their applicability via a worked example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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