Nonuniqueness

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W Wang - One of the best experts on this subject based on the ideXlab platform.

Min-zhong Wang - One of the best experts on this subject based on the ideXlab platform.

G Mahinthakumar - One of the best experts on this subject based on the ideXlab platform.

  • contamination source identification in water distribution systems using an adaptive dynamic optimization procedure
    Journal of Water Resources Planning and Management, 2011
    Co-Authors: Ranji S Ranjithan, G Mahinthakumar
    Abstract:

    Contamination source identification involves the characterization of the contaminant source based on observations that stream from a set of sensors in a water distribution system (WDS). The streaming data can be processed adaptively to provide an estimate of the source characteristics at any time once the contamination event is detected. In this paper, an adaptive dynamic optimization technique (ADOPT) is proposed for providing a real-time response to a contamination event. A new multiple population–based search that uses an evolutionary algorithm (EA) is investigated. To address Nonuniqueness in the initial stages of the search and prevent premature convergence of the EA to an incorrect solution, the multiple populations are designed to maintain a set of alternative solutions that represent various nonunique solutions. As more observations are added, the EA solutions not only migrate to better solution states but the number of solutions decreases as the degree of Nonuniqueness diminishes. This new algori...

Jiakang Xie - One of the best experts on this subject based on the ideXlab platform.

  • On the Nonuniqueness of the Coupled Origin Time–Velocity Tomography Problem
    Bulletin of the Seismological Society of America, 2006
    Co-Authors: William Menke, R. Chadwick Holmes, Jiakang Xie
    Abstract:

    When earthquakes are used as sources in velocity tomography, the unknown velocity structure and the unknown hypocentral parameters (that is, source location and origin time) must be simultaneously estimated during the imaging process. This coupling allows the two sets of unknowns to trade off, and increases the degree of Nonuniqueness of the resulting tomographic image above what would have been present had the hypocentral parameters been precisely known. We analyze, in detail, the Nonuniqueness associated with unknown origin time, which we argue is often a more important source of Nonuniqueness than is unknown location. While this type of Nonuniqueness has long been understood to be a problem in teleseimic tomography, we show here that it is of equal importance in all coupled problems. We provide a practical method for calculating null solutions and calculate them for several commonly encountered experimental geometries. We also show that the attenuation tomography possesses a mathematically identical Nonuniqueness, with unknown source amplitude being the analogue to unknown origin time.

Josef Kalas - One of the best experts on this subject based on the ideXlab platform.