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Effect of Temporal and Spatial Aggregation on Cross Correlation of Indoor Residential Water Demands

Moughton, Lynette Jane

Abstract Details

2009, MS, University of Cincinnati, Engineering : Environmental Engineering.
Cross correlation between nodal demands may influence the hydraulic performance (e.g., flow velocities, minimum pressures) and associated quality metrics (e.g., disinfectant residual, water age) in a drinking water distribution system. Despite the potential impact of correlated demands on network behavior, the magnitude of cross correlation among indoor water demands in a real network is unknown. In this study, measurements of domestic indoor water use were analyzed to: (i) estimate the magnitude of cross correlation between concurrent indoor residential water demands at different homes for each day of the week and (ii) examine how the level of cross correlation changes with temporal averaging (size of time step) and with spatial aggregation (number of homes at a node). High resolution indoor residential water demands measured in 1997 at 21 single family homes in Milford, Ohio, were screened and averaged at 60-s, 600-s, and 3,600-s intervals for non-overlapping 24-hour periods. The resulting data set, with over 4,130 home-days of indoor water demand observations, was used to estimate the cross correlation between indoor residential water use at two hypothetical nodes formed by randomly assigning home-days to two equally sized groups ranging from 1 to 250 residences. Results show that the magnitude of cross correlation between indoor residential water demands increases with temporal averaging and spatial aggregation. These empirical findings corroborate theoretical predictions formulated in a separate investigation. A case study using the Cherry Hills/Brushy Plain water distribution network indicates that the amount of mass reaching consumers over a 3-day period following 1-hour, 4-hour, and 16-hour contamination events is not significantly affected by the presence of cross correlation among nodal indoor water demands. In addition, while mean travel time differences between the two cases show significant differences from zero, there is no way to determine whether it is caused by cross correlation.
Steven Buchberger, PhD (Committee Chair)
James Uber, PhD (Committee Member)
Dominic Boccelli, PhD (Committee Member)
538 p.

Recommended Citations

Citations

  • Moughton, L. J. (2009). Effect of Temporal and Spatial Aggregation on Cross Correlation of Indoor Residential Water Demands [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1250351156

    APA Style (7th edition)

  • Moughton, Lynette. Effect of Temporal and Spatial Aggregation on Cross Correlation of Indoor Residential Water Demands. 2009. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1250351156.

    MLA Style (8th edition)

  • Moughton, Lynette. "Effect of Temporal and Spatial Aggregation on Cross Correlation of Indoor Residential Water Demands." Master's thesis, University of Cincinnati, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1250351156

    Chicago Manual of Style (17th edition)