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A semianalytical approach to spatial averaging of hydraulic conductivity in heterogeneous aquifersстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 10 апреля 2019 г.
- Авторы: Pozdniakov S.P., Tsang C.F.
- Журнал: Journal of Hydrology
- Том: 216
- Номер: 1-2
- Год издания: 1999
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- Первая страница: 78
- Последняя страница: 98
- DOI: 10.1016/S0022-1694(98)00290-X
- Аннотация: Numerical models of groundwater flow require hydraulic conductivity values for the gridblocks covering the flow domain. However, field conductivity data are usually measured at a different scale (usually smaller) than that of the gridblocks. The present paper describes an approach for upscaling to block-scale, which combines the rigorous result of small-value perturbation analysis with a plausible generalization of the first-order results to large variance. Steady-state flow through a block of stochastically heterogeneous medium, with constant values of the hydraulic head at the two opposite sides, is analysed. An upscaling rule and relationship is obtained between the local-scale hydraulic conductivity and the expected mean and variance of blockscale conductivity, where the block size is comparable with the correlation scale of the local conductivity field. The rather simple expressions that are obtained are validated using data from numerical experiments. Further, a generalized spatial power-averaging method to calculate the block-scale conductivity from values of local-scale conductivity is developed, in which the exponent value is given as a function of the ratios of flow domain dimensions to the respective correlation length.
- Добавил в систему: Поздняков Сергей Павлович