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عنوان فارسی مقاله:
ارتقاء حمل و نقل املاح در مواد متخلخل بی نظم توسط تحولات موج ضربه ای
عنوان انگلیسی مقاله:
Upscaling of solute transport in disordered porous media by wavelet transformations
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
It is of fundamental and practical importance to incorporate the spatial heterogeneity of porous geological formations in the models of flow and transport in such media (Dagan et al., 1989; Rubin, 2003; Sahimi, 2011). At the field scale (e.g. orders of 102 − 103 m), subsurface properties, such as the permeability, vary many orders of magnitude across multiple length scales (e.g. from 1 m to 103 m or larger) (Dagan et al., 1989; Rubin, 2003; Sahimi, 2011). It is well recognized that the spatial fluctuations of the permeability field, i.e. many orders of magnitude difference between permeability values, have a significant role in the spreading rates of solute plumes, as well as estimates of their early or late arrival times. Thus, neglecting the effect of subsurface heterogeneity, and in particular the spatial distribution of the permeability, in numerical simulation leads to erroneous prediction of solute transport, which will have severe consequences for health risk assessment (de Barros and Rubin, 2008; Maxwell et al., 1999), the likelihood of extreme events (de Barros and Fiori, 2014; Dentz and Tartakovsky, 2010; Henri et al., 2015), and for reactive mixing (Dentz et al., 2011; Luo et al., 2008). In general, to obtain accurate predictions for solute mixing at the field scale and calculate the properties that characterize the process, such as the distribution of travel times and the dispersion coefficients, numerical simulation of flow and transport in large-scale porous media requires a computational grid with high enough resolution to represent the variability of the hydrogeological properties (Ababou et al., 1989; de Dreuzy et al., 2007). Simulation with such high-resolution computational grids entails solving several million discretized equations over thousands of time steps, leading to a very high computational burden. The resolution of the grid depends, of course, on the available data that are used to construct the grid blocks. But, for the same of argument we consider blocks whose linear size is 1 m. Thus, numerical simulation of solute transport at the field scale might become prohibitively expensive, particularly when such highly-resolved models are subject to uncertainty and must be cast within a Monte Carlo sampling (Rubin, 2003; Sahimi, 2011). As a result, a key aspect of the simulation is how to distribute the limited computational resources in an efficient manner in order to reduce the simulation cost (Leube et al., 2013; 2012; Moslehi et al., 2015). To alleviate the computational burden, upscaling methods are used
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کلمات کلیدی:
Pore-scale modeling of dispersion in disordered porous media. - NCBI www.ncbi.nlm.nih.gov/pubmed/21440952 Feb 15, 2011 - We employ a direct pore-level model of incompressible flow that uses the ... this model to simulate solute transport in disordered porous media. Pore-scale modeling of dispersion in disordered porous media piriresearchgroup.com/wp-content/uploads/2016/09/PDF.18.pdf by S Ovaysi - 2011 - Cited by 44 - Related articles We further develop this model to simulate solute transport in disordered porous media. The governing equations of flow and transport at the pore level, i.e., ... Simulations of solute transport in fractured porous media using 2D ... link.springer.com/article/10.1007/s10040-004-0363-z by C Rivard - 2004 - Cited by 19 - Related articles Abstract. Two-dimensional percolation networks have been used to model a disordered and fractured porous medium. The advantage of percolation networks is ... Solute Transport in Porous Media. Media with Capillaries as Voids https://epubs.siam.org/doi/pdf/10.1137/070695228 We study solute transport in porous media with periodic microstructures ... Key words. porous media, solute transport, hydrodynamic dispersion, ...... [57] M. Sahimi, H. T. Davis, and L. E. Scriven, Dispersion in disordered porous media, Chem. Upscaling solute transport in naturally fractured porous media with the ... onlinelibrary.wiley.com/doi/10.1029/2010WR009133/pdf by S Geiger - 2010 - Cited by 40 - Related articles [1] Solute transport in fractured porous media is typically “non‐Fickian”; that is, it is characterized ...... work, by noting that the disorder associated with any given. Vadose Zone Hydrology: Cutting Across Disciplines https://books.google.com/books?isbn=0198026994 Marc B. Parlange, Jan W. Hopmans - 1999 - Science Transport in ordered and disordered porous media I: the cellular average and the use ... porous media IV: large-scale mass equilibrium for solute transport with ...
