0
TECHNICAL PAPERS

Simulation of Contaminant Transport in a Fractured Porous Aquifer

[+] Author and Article Information
Sergei Fomin

Department of Mathematics and Statistics, California State University, Chico, CA 95928sfomin@csuchico.edu

Vladimir Chugunov

Department of Applied Mathematics, Kazan State University, Kazan, Russia

Toshiyuki Hashida

Fracture & Reliability Research Institute, School of Engineering, Tohoku University, Sendai, Japan

J. Fluids Eng 129(9), 1157-1163 (Mar 30, 2007) (7 pages) doi:10.1115/1.2754327 History: Received August 27, 2006; Revised March 30, 2007

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 12 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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic of the model

Grahic Jump Location
Figure 2

Variation of concentration in the aquifer C in streamwise direction for the permanent uniform source of concentration C0=1 in the inlet of the aquifer

Grahic Jump Location
Figure 3

Distributions of concentrations in the confining porous rocks C1 with respect to transverse coordinate Y over the period of contamination, 0<t<t* (solid lines), and after the elimination of the source of contamination, t>t* (dashed lines) at X∕Pe=0.5, b=1 and different γ: (a)γ=0.2 and (b)γ=0.8

Grahic Jump Location
Figure 4

Distributions of concentrations in the confining from above porous rocks C1 with respect to transverse coordinate Y over the period of contamination, 0<t<t* (solid lines), and after the elimination of the source of contamination, t>t* (dashed lines) for γ=0.2 and different t*, X, and b

Grahic Jump Location
Figure 5

Distributions of concentrations in the aquifer C along the aquifer over the period of contamination, 0<t<t* (solid lines), and after the elimination of the source of contamination, t>t* (dashed lines), for different b and γ: (a)b=1, γ=0.2; (b)b=1, γ=0.8; (c)b=0.1, γ=0.2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In