TECHNICAL PAPERS
Oct 1, 1984

An Eigenvalue Technique for Solute Transport

Publication: Journal of Hydraulic Engineering
Volume 110, Issue 10

Abstract

The spatially discretized linear equation of groundwater solute transport in a steady flow field was solved by an eigenvalue technique. The methods employed to impose the commonly encountered boundary conditions in the formulation and solution procedures are described in detail. Using the eigenvalue technique the dynamic system equation is decoupled and the time integration can be done independently and continuously for each nodal point. Finally, an explicit expression is obtained for each nodal point as a function of time. This method can provide convenience of data retrieval, particularly in ground‐water management modeling.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bellman, R. E., Introduction to Matrix Analysis, McGraw‐Hill Book Co., Inc., New York, N.Y., 1960.
2.
Chen, C. T., Introduction to Linear System Theory, Holt, Rinehart and Winston, Inc., New York, N.Y., 1970.
3.
Desai, C. S., Elementary Finite Element Method, Prentice Hall, New York, N.Y., 1979.
4.
Faust, C. R., and Mercer, J. W., “Groundwater Modeling: Recent Developments,” Groundwater, Vol. 18, No. 6, 1980, pp. 569–577.
5.
Freeze, R. A., and Cherry, J. A., Groundwater, Prentice Hall, New York, N.Y., 1979.
6.
Gureghian, A. B., Ward, D. S., and Cleary, R. W., “A Finite‐Element Model for the Migration of Leachate from a Sanitary Landfill in Long Island, New York,” Water Resour. Bulletin, Vol. 16, No. 5, 1980, pp. 900–906.
7.
Guymon, G. L., “A finite Element Solution of the One‐Dimensional Diffusion‐Convection Equation,” Water Resour. Res., Vol. 6, No. 1, 1970, pp. 204–210.
8.
Huyakorn, P. S., and Nilkuha, K., “Solution of Transient Transport Equation Using Upstream Finite Element Scheme,” Appl. Math. Model., IPC Business Press, Vol. 3, No. 1, 1979, pp. 7–17.
9.
Hwang, J. C., and Koerner, R. M., “Groundwater Pollution Source Identification from Limited Monitoring Well Data: Part I—Theory and Feasibility,” Journal of Hazardous Material, 1983.
10.
Hwang, J. C., and Koerner, R. M., “Determination of Location and Number of Groundwater Monitoring Wells,” presented at the ASCE Spring Convention, held at Philadelphia, Pa. 1983.
11.
Kagstrom, B., and Ruhe, A., “Algorithm 560 JNF, An Algorithm for Numerical Computation of the Jordan Normal of a Complex Matrix,” ACM Transaction on Math. Software, Vol. 6, No. 3, 1980, pp. 437–443.
12.
Kuiper, L. K., “Analytical Solution of Spatially Discretized Groundwater Flow Equations,” Water Resour. Res., Vol. 9, No. 4, 1973, pp. 1094–1097.
13.
Pinder, G. F., and Frind, E. O., “Application of Galerkin's Procedure to Aquifer Analysis,” Water Resour. Res., Vol. 8, No. 1, 1972, pp. 108–120.
14.
Sahuquillo, A., “An Eigenvalue Numerical Technique for Solving Unsteady Linear Groundwater Models Continuously in Time,” Water Resour. Res., Vol. 19, No. 1, 1983, pp. 87–93.
15.
Scheidegger, A. E., “General Theory of Dispersion in Porous Media,” J. Geophys. Res., Vol. 66, No. 10, 1961, pp. 3273–3278.
16.
Smith, B. T., et al., “Matrix Eigensystems Routines—EISPACK Guide,” 2nd ed., Springer‐Verlag, 1976.
17.
Willis, R., “A Planning Model for the Management of Groundwater Quality,” Water Resour. Res., Vol. 15, No. 6, 1979, pp. 1305–1312.
18.
Yeh, G. T., and Ward, D. A., “FEMWASTE, A Finite‐Element Model of Waste Transport through Saturated‐Unsaturated Porous Media,” Oak Ridge National Lab., Report No. 5601, 1981.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 110Issue 10October 1984
Pages: 1302 - 1314

History

Published online: Oct 1, 1984
Published in print: Oct 1984

Permissions

Request permissions for this article.

Authors

Affiliations

Jack C. Hwang
Asst. Prof., Dept. of Civ. Engrg., Drexel Univ., Philadelphia, Pa.
Robert M. Koerner, Members ASCE
Prof., Dept. of Civ. Engrg., Drexel Univ.
Woncheol C. Cho
Grad. Student, Drexel Univ.
Kai S. Yeung
Visiting Prof., Drexel Univ.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share