Application of fractional derivatives for simulating diffusion into porous matrix in mathematical modeling of the contaminant transport in a confined fractured porous aquifer

Sergei Fomin, Vladimir Chugunov, Toshiyuki Hashida

研究成果: Conference contribution

抄録

Solute transport in the fractured porous confined aquifer is modeled by the advection-dispersion equation with fractional time derivative of order γ, which may vary from 0 to 1. Accounting for diffusion in the surrounding rock mass leads to the introduction of an additional fractional time derivative of order 1/2 in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties are modeled and analyzed.

本文言語English
ホスト出版物のタイトルProceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Fluids Engineering Division
出版社American Society of Mechanical Engineers (ASME)
ISBN(印刷版)0791837904, 9780791837900
DOI
出版ステータスPublished - 2006 1 1
イベント2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States
継続期間: 2006 11 52006 11 10

出版物シリーズ

名前American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
ISSN(印刷版)0888-8116

Other

Other2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006
CountryUnited States
CityChicago, IL
Period06/11/506/11/10

ASJC Scopus subject areas

  • Engineering(all)

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