TECHNICAL PAPERS
Jan 1, 1997

Dynamic Optimal Ground-Water Reclamation with Treatment Capital Costs

Publication: Journal of Water Resources Planning and Management
Volume 123, Issue 1

Abstract

A dynamic optimal control algorithm for ground-water remediation was extended to incorporate treatment facility capital costs, as a function of the peak operating rate. Our approach to including the capital costs of treatment required no additional control variables and only a single additional state variable. Incorporation of the capital costs of the treatment facility had the greatest impact on design when the pumping policies were changed at intervals of six months or fewer. For longer management periods, inclusion of treatment facility capital costs had little effect on the selected optimal policies. This work demonstrates that capital treatment costs may significantly impact a dynamic management policy and that these capital costs should be explicitly incorporated into a dynamic management model.

Get full access to this article

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

References

1.
Ahlfeld, D. P.(1990). “Two-stage ground-water remediation design.”J. Water Resour. Plng. and Mgmt., ASCE, 116(4), 517–529.
2.
Ahlfeld, D. P., Mulvey, J. M., Pinder, G. F., and Wood, E. F.(1988). “Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory, 2, Analysis of a field site.”Water Resour. Res., 24(3), 443–452.
3.
Andricevic, R., and Kitanidis, P. K.(1990). “Optimization of the pumping schedule in aquifer remediation under uncertainty.”Water Resour. Res., 26(5), 875–885.
4.
Chang, L. C., Shoemaker, C. A., and Liu, P. L. F.(1992). “Optimal time-varying pumping rates for groundwater remediation: Application of a constrained optimal control algorithm.”Water Resour. Res., 28(12), 3157–3171.
5.
Clark, R. M.(1982). “Cost estimating for conventional water treatment.”J. Envir. Engrg. Div., ASCE, 108(5), 819–834.
6.
Culver, T. B. (1991). “Dynamic optimal control of groundwater remediation with management periods: Linearized and quasi-Newton approaches,” PhD thesis, Cornell Univ., Ithaca, N.Y.
7.
Culver, T. B., and Shoemaker, C. A.(1992). “Dynamic optimal control for groundwater remediation with flexible management periods.”Water Resour. Res., 28(3), 629–641.
8.
Culver, T. B., and Shoemaker, C. A.(1993). “Optimal control for groundwater remediation by differential dynamic programming with quasi-Newton approximations.”Water Resour. Res., 29(4), 823–831.
9.
Greenwald, R. M., and Gorelick, S. M.(1989). “Particle travel times of contaminants incorporated into a planning model for groundwater plume capture.”J. Hydro., Amsterdam, The Netherlands, 107, 73–98.
10.
Karatzas, G. P., and Pinder, G. F.(1993). “Groundwater management using numerical simulation and the outer approximation method for global optimization.”Water Resour. Res., 29(10), 3371–3378.
11.
Lee, S.-I., and Kitanidis, P. K.(1991). “Optimal estimation and scheduling in aquifer remediation with incomplete information.”Water Resour. Res., 27(9), 2203–2217.
12.
Lin, T. W.(1990). “Well behaved penalty functions for constrained optimization.”J. Chinese Inst. Engrs., Taipei, Taiwan, 13(2), 157–166.
13.
Marryott, R. A., Dougherty, D. E., and Stollar, R. L.(1993). “Optimal groundwater management—2. Application of simulated annealing to a field-scale contamination site.”Water Resour. Res., 29(4), 847–860.
14.
McKinney, D. C., and Lin, M.-D.(1994). “Genetic algorithm solution of groundwater management models.”Water Resour. Res., 30(6), 1897–1906.
15.
McKinney, D. C., and Lin, M. D.(1995). “Approximate mixed-integer nonlinear programming methods for optimal aquifer remediation design.”Water Resour. Res., 31(3), 731–740.
16.
Minsker, B. S., and Shoemaker, C. A.(1996). “Differentiating a finite element biodegradation simulation model for optimal control.”Water Resour. Res., 32(1), 187–192.
17.
Pinder, G. F. (1979). “Galerkin finite element models for aquifer simulation.”Rep. 76-WR-5, Dept. of Civ. Engrg., Princeton Univ., Princeton, N.J.
18.
Ritzel, B. J., Eheart, J. W., and Ranjithan, S.(1994). “Using genetic algorithms to solve a multiple-objective groundwater pollution containment-problem.”Water Resour. Res., 30(5), 1589–1603.
19.
Rogers, L. L., and Dowla, F. U.(1994). “Optimization of groundwater remediation using artificial neural networks with parallel solute transport modeling.”Water Resour. Res., 30(2), 457–481.
20.
Wagner, B. J., and Gorelick, S. M.(1987). “Optimal groundwater quality management under parameter uncertainty.”Water Resour. Res., 23(7), 1162–1174.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 123Issue 1January 1997
Pages: 23 - 29

History

Published online: Jan 1, 1997
Published in print: Jan 1997

Permissions

Request permissions for this article.

Authors

Affiliations

Teresa B. Culver, Associate Member, ASCE,
Asst. Prof., Civ. Engrg. and Appl. Mech., Univ. of Virginia, Charlottesville, VA 22903-2442.
Christine A. Shoemaker, Member, ASCE
Prof., Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY 14853.

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