Computational Modelling of Multi-scale Solute Dispersion in Porous Media

This research monograph presents a mathematical approach based on stochastic calculus which tackles the “cutting edge” in porous media science and engineering – prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis,...

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Idioma:inglês
Publicado em: IntechOpen 2023
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collection Directory of Open Access Books
description This research monograph presents a mathematical approach based on stochastic calculus which tackles the “cutting edge” in porous media science and engineering – prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis, for enhanced recovery by injection of miscible gases, etc. This book explains a generalised mathematical model and effective numerical methods that may highly impact the stochastic porous media hydrodynamics. The book starts with a general overview of the problem of scale dependence of the dispersion coefficient in porous media. Then a review of pertinent topics of stochastic calculus that would be useful in the modeling in the subsequent chapters is succinctly presented. The development of a generalised stochastic solute transport model for any given velocity covariance without resorting to Fickian assumptions from laboratory scale to field scale is discussed in detail. The mathematical approaches presented here may be useful for many other problems related to chemical dispersion in porous media.
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institution Directory of Open Access Books
language eng
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher IntechOpen
publisherStr IntechOpen
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spelling doab-20.500.12854ir-1290652024-04-14T10:28:11Z Computational Modelling of Multi-scale Solute Dispersion in Porous Media Kulasiri, Don Computer modelling & simulation thema EDItEUR::U Computing and Information Technology::UY Computer science::UYM Computer modelling and simulation This research monograph presents a mathematical approach based on stochastic calculus which tackles the “cutting edge” in porous media science and engineering – prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis, for enhanced recovery by injection of miscible gases, etc. This book explains a generalised mathematical model and effective numerical methods that may highly impact the stochastic porous media hydrodynamics. The book starts with a general overview of the problem of scale dependence of the dispersion coefficient in porous media. Then a review of pertinent topics of stochastic calculus that would be useful in the modeling in the subsequent chapters is succinctly presented. The development of a generalised stochastic solute transport model for any given velocity covariance without resorting to Fickian assumptions from laboratory scale to field scale is discussed in detail. The mathematical approaches presented here may be useful for many other problems related to chemical dispersion in porous media. 2023-12-01T14:47:36Z 2023-12-01T14:47:36Z 2011 book ONIX_20231201_9789533077260_172 9789533077260 9789535157021 https://directory.doabooks.org/handle/20.500.12854/129065 eng image/jpeg n/a https://www.intechopen.com/books/2855 https://mts.intechopen.com/storage/books/2855/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/3189 10.5772/3189 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9789533077260 9789535157021 IntechOpen 244 open access
spellingShingle Computer modelling & simulation
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYM Computer modelling and simulation
Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title_full Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title_fullStr Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title_full_unstemmed Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title_short Computational Modelling of Multi-scale Solute Dispersion in Porous Media
title_sort computational modelling of multi scale solute dispersion in porous media
topic Computer modelling & simulation
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYM Computer modelling and simulation
topic_facet Computer modelling & simulation
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYM Computer modelling and simulation
url ONIX_20231201_9789533077260_172