TECHNICAL PAPERS
May 1, 1993

ARMA Processes and Reliability‐Based Design of Wastewater‐Treatment Facilities

Publication: Journal of Environmental Engineering
Volume 119, Issue 3

Abstract

The applicability of univariate uncorrelated, univariate ARMA, and diagonalized vector autoregressive moving average (ARMA) processes was studied and compared to published procedures for reliability‐based design of wastewater‐treatment plants. Three applications are presented. In the first application, influent biological oxygen demand (BOD) mass loading was simulated using a univariate, weekly periodic autoregressive process to calculate sustained peak loading. In the second application, three water‐quality variables were simulated jointly using a diagonalized vector autoregressive process to calculate potential nutrient deficiencies in activated sludge processes. In the third application, effluent BOD concentrations were simulated using a univariate autoregressive process to calculate the reliability of meeting permit limits of various durations. It was found that by more completely modeling the statistical structure of available historical data, the ARMA modeling techniques were effective for reliability‐based design applications for which duration is important, as distinct from instantaneous peak loading.

Get full access to this article

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

References

1.
Adeyemi, S. O., Wu, S. M., and Berthouex, P. M. (1979). “Modeling and control of a phosphorus removal process by multivariate time series method.” Water Res., 13, 105–119.
2.
Berthouex, P. M., and Fan, R. (1986). “Evaluation of treatment plant performance: causes, frequency, and duration of upsets.” J. Water Pollution Control Fed., 58(5), 368–375.
3.
Berthouex, P. M. (1989). “Constructing control charts for wastewater treatment plant operation,” J. Water Pollution Control Fed., 61(9), 1534–1551.
4.
Box, G. E. P., and Jenkins, G. M. (1976). Time series analysis forecasting and control. Holden‐Day, San Francisco, Calif.
5.
Debelak, K. A., and Sims, C. A. (1981). “Stochastic modeling of an industrial activated sludge process.” Water Res., 15, 1173–1183.
6.
Ellis, G. W., Ge, X., and Grasso, D. (1990). “Time series analysis of wastewater quality.” Proc., 5th IAWPRC Workshop on Instrumentation, Control and Automation of Water and Wastewater Treatment Systems, Int. Assoc. on Water Pollution Res. and Control, 441–448.
7.
Ellis, G. W. (1989). Discussion of “Load allocation for toxics using Monte Carlo techniques.” by J. K. Marr and R. P. Canale. J. Water Pollution Control Fed., 61(1), 97–99.
8.
Huck, P. M., and Farquhar, G. J. (1974). “Water quality models using Box‐Jenkins method.” J. of Envir. Engrg., 100(1), 733–752.
9.
Jayawardena, A. W., and Lai, F. (1989). “Time series analysis of water quality data in Pearl River, China.” J. of Envir. Engrg., 115(3), 590–607.
10.
Lohani, B. N., and Wang, M. M. (1987). “Water quality data analysis in Chung Kand River.” J. of Envir. Engrg., 113(1), 186–195.
11.
Liu, L.‐M., and Hudak, G. B. (1986). The SCA statistical system, reference manual for forecasting and time series analysis. Scientific Computing Assoc., DeKalb, Ill.
12.
Niku, S., Schroeder, E. D., and Samaniego, F. J. (1979). “Performance of activated sludge processes and reliability‐based design.” J. Water Pollution Control Fed., 51(2), 2841–2857.
13.
Patry, C. G., and Marino, M. A. (1984). “Real‐time forecasting of water quality in combined sewer systems.” Sciences et Techiques de L'Eau, 17(2), 159–162.
14.
Salas, J. D., Tabios, G. Q., and Bartolini, P. (1985). “Approaches to multivariate modeling of water resources time series.” Water Resour. Bull., 21(4), 683–708.
15.
Sawyer, C. (1940). “Activated sludge oxidation, V: The influence of nutrition in determining activated sludge characteristics.” Sewage Works J., 12(1), 1.
16.
Stanier, R. Y., Ingraham, J. L., Wheelis, M. L., and Painter, P. R. (1986). The microbial world. 5th Ed., Prentice‐Hall, Englewood Cliffs, N.J.
17.
Tiao, G. C., and Box, G. E. P. (1981). “Modeling multiple time series with applications.” J. Am. Statistical Assoc., 76(376), 802–816.
18.
Umashankar, S., and Ledolter, J. (1983). “Forecasting with diagonal multiple time series models: An extension of univariate models.” J. of Marketing Res., 20, 58–63.
19.
Wastewater engineering. (1991). 3rd Ed., McGraw‐Hill, New York, N.Y.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 119Issue 3May 1993
Pages: 463 - 477

History

Received: Oct 29, 1990
Published online: May 1, 1993
Published in print: May 1993

Permissions

Request permissions for this article.

Authors

Affiliations

G. W. Ellis, Associate Member, ASCE
Asst. Prof., Dept. of Civ. and Envir. Engrg., Clarkson Univ., Potsdam, NY 13699
D. Grasso, Member, ASCE
Asst. Prof., Dept. of Civ. Engrg., and The Envir. Res. Inst., Univ. of Connecticut, Storrs, CT 06269‐3037
X. Ge
Grad. Asst., Dept. of Civ. and Envir. Engrg., Clarkson Univ., Potsdam, NY 13699

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