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DOI | 10.1029/2018WR023033 |
Lagrangian Modeling of Reactive Transport in Heterogeneous Porous Media with an Automatic Locally Adaptive Particle Support Volume | |
Sole-Mari, Guillem1,2; Fernandez-Garcia, Daniel1,2 | |
2018-10-01 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:10页码:8309-8331 |
文章类型 | Article |
语种 | 英语 |
国家 | Spain |
英文摘要 | The particle support volume is crucial for simulating reactive transport with Lagrangian methods as it dictates the interaction among particles. Assuming that it is constant in space, the particle support volume can be selected by means of kernel density estimation theory, an approach that has been shown to provide accurate estimates in simple setups. However, the particle support volume should intuitively vary with the particle position and evolve with time so as to mimic the local behavior of the solute plume. In this paper, we present a new approach to select a locally optimal particle support volume in reactive transport simulations. We consider that each particle has a different support volume that can locally adapt its shape and size with time based on the nearby particle distribution. By introducing a new optimality criterion, closed-form expressions of the particle support volume are presented under certain assumptions. In advection-dominated transport, we propose to orient the support volume along the local velocities. Numerical simulations of solute transport in a randomly heterogeneous porous medium demonstrate that the new approach can substantially increase accuracy with a more rapid convergence to the true solution with the number of particles. The error reduction seen in local approaches is particularly important in regions with extreme (high and low) density of particles. The method is shown to be computationally efficient, displaying better results than traditional histogram or global kernel methods for the same computational effort. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000450726000065 |
WOS关键词 | KERNEL DENSITY-ESTIMATION ; RANDOM-WALK SOLUTION ; NUMERICAL-SIMULATION ; BANDWIDTH SELECTION ; BREAKTHROUGH CURVES ; SOLUTE TRANSPORT ; TRACKING METHOD ; DIFFUSION ; BIODEGRADATION ; PREDICTION |
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/21476 |
专题 | 资源环境科学 |
作者单位 | 1.Univ Politecn Cataluna, Dept Civil & Environm Engn DECA, Barcelona, Spain; 2.UPC, Hydrogeol Grp, CSIC, Barcelona, Spain |
推荐引用方式 GB/T 7714 | Sole-Mari, Guillem,Fernandez-Garcia, Daniel. Lagrangian Modeling of Reactive Transport in Heterogeneous Porous Media with an Automatic Locally Adaptive Particle Support Volume[J]. WATER RESOURCES RESEARCH,2018,54(10):8309-8331. |
APA | Sole-Mari, Guillem,&Fernandez-Garcia, Daniel.(2018).Lagrangian Modeling of Reactive Transport in Heterogeneous Porous Media with an Automatic Locally Adaptive Particle Support Volume.WATER RESOURCES RESEARCH,54(10),8309-8331. |
MLA | Sole-Mari, Guillem,et al."Lagrangian Modeling of Reactive Transport in Heterogeneous Porous Media with an Automatic Locally Adaptive Particle Support Volume".WATER RESOURCES RESEARCH 54.10(2018):8309-8331. |
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