Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2018WR022735 |
Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks | |
Delgoshaie, Amir H.1; Jenny, Patrick2; Tchelepi, Hamdi A.1 | |
2018-05-01 | |
发表期刊 | WATER RESOURCES RESEARCH
![]() |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:5页码:3376-3391 |
文章类型 | Article |
语种 | 英语 |
国家 | USA; Switzerland |
英文摘要 | Monte Carlo (MC) simulations of transport in random porous networks indicate that for high variances of the lognormal permeability distribution, the transport of a passive tracer is non-Fickian. Here we model this non-Fickian dispersion in random porous networks using discrete temporal Markov models. We show that such temporal models capture the spreading behavior accurately. This is true despite the fact that the slow velocities are strongly correlated in time, and some studies have suggested that the persistence of low velocities would render the temporal Markovian model inapplicable. Compared to previously proposed temporal stochastic differential equations with case-specific drift and diffusion terms, the models presented here require fewer modeling assumptions. Moreover, we show that discrete temporal Markov models can be used to represent dispersion in unstructured networks, which are widely used to model porous media. A new method is proposed to extend the state space of temporal Markov models to improve the model predictions in the presence of extremely low velocities in particle trajectories and extend the applicability of the model to higher temporal resolutions. Finally, it is shown that by combining multiple transitions, temporal models are more efficient for computing particle evolution compared to correlated CTRW with spatial increments that are equal to the lengths of the links in the network. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000442351300009 |
WOS关键词 | RANDOM-WALK METHOD ; ANOMALOUS TRANSPORT ; SOLUTE TRANSPORT ; UNCERTAINTY QUANTIFICATION ; HETEROGENEOUS AQUIFERS ; DISPERSION ; MODELS ; SIMULATION ; FLOW |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
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/21000 |
专题 | 资源环境科学 |
作者单位 | 1.Stanford Univ, Dept Energy Resources Engn, Stanford, CA 94305 USA; 2.Swiss Fed Inst Technol, Inst Fluid Dynam, Zurich, Switzerland |
推荐引用方式 GB/T 7714 | Delgoshaie, Amir H.,Jenny, Patrick,Tchelepi, Hamdi A.. Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks[J]. WATER RESOURCES RESEARCH,2018,54(5):3376-3391. |
APA | Delgoshaie, Amir H.,Jenny, Patrick,&Tchelepi, Hamdi A..(2018).Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks.WATER RESOURCES RESEARCH,54(5),3376-3391. |
MLA | Delgoshaie, Amir H.,et al."Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks".WATER RESOURCES RESEARCH 54.5(2018):3376-3391. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论