Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2019WR026493 |
Multilevel Monte Carlo predictions of First passage times in three‐dimensional discrete fracture networks: A graph‐based approach | |
S. Berrone; J. D. Hyman; S. Pieraccini | |
2020-05-13 | |
发表期刊 | Water Resources Research
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出版年 | 2020 |
英文摘要 | We present a method combining multilevel Monte Carlo (MLMC) and a graph‐based primary subnetwork identification algorithm to provide estimates of the mean and variance of the distribution of first passage times in fracture media at significantly lower computational cost than standard Monte Carlo (MC) methods. Simulations of solute transport are performed using a discrete fracture network (DFN) and instead of using various grid resolutions for levels in the MLMC, which is standard practice in MLMC, we identify a hierarchy of subnetworks in the DFN based on the shortest topological paths through the network using a graph‐based method. While the mean of these ensembles is of critical importance, the variance is also essential in fractured media where uncertainty is an overarching theme and understanding variability across an ensemble is a requirement for safety assessments. The method provides good estimates of the mean and variance at two orders of magnitude lower computational cost than MC. |
领域 | 资源环境 |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/267640 |
专题 | 资源环境科学 |
推荐引用方式 GB/T 7714 | S. Berrone,J. D. Hyman,S. Pieraccini. Multilevel Monte Carlo predictions of First passage times in three‐dimensional discrete fracture networks: A graph‐based approach[J]. Water Resources Research,2020. |
APA | S. Berrone,J. D. Hyman,&S. Pieraccini.(2020).Multilevel Monte Carlo predictions of First passage times in three‐dimensional discrete fracture networks: A graph‐based approach.Water Resources Research. |
MLA | S. Berrone,et al."Multilevel Monte Carlo predictions of First passage times in three‐dimensional discrete fracture networks: A graph‐based approach".Water Resources Research (2020). |
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