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Global Optimal Design of Ground Water Monitoring Network Using Embedded Kriging

Rosberg, Jan-Erik LU and Bjelm, Leif LU (2009) In Ground Water 47(6). p.816-821
Abstract
We present a methodology for global optimal design of ground water quality monitoring networks using a linear mixed-integer formulation. The proposed methodology incorporates ordinary kriging (OK) within the decision model formulation for spatial estimation of contaminant concentration values. Different monitoring network design models incorporating concentration estimation error, variance estimation error, mass estimation error, error in locating plume centroid, and spatial coverage of the designed network are developed. A big-M technique is used for reformulating the monitoring network design model to a linear decision model while incorporating different objectives and OK equations. Global optimality of the solutions obtained for the... (More)
We present a methodology for global optimal design of ground water quality monitoring networks using a linear mixed-integer formulation. The proposed methodology incorporates ordinary kriging (OK) within the decision model formulation for spatial estimation of contaminant concentration values. Different monitoring network design models incorporating concentration estimation error, variance estimation error, mass estimation error, error in locating plume centroid, and spatial coverage of the designed network are developed. A big-M technique is used for reformulating the monitoring network design model to a linear decision model while incorporating different objectives and OK equations. Global optimality of the solutions obtained for the monitoring network design can be ensured due to the linear mixed-integer programming formulations proposed. Performances of the proposed models are evaluated for both field and hypothetical illustrative systems. Evaluation results indicate that the proposed methodology performs satisfactorily. These performance evaluation results demonstrate the potential applicability of the proposed methodology for optimal ground water contaminant monitoring network design. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Ground Water
volume
47
issue
6
pages
816 - 821
publisher
John Wiley & Sons
external identifiers
  • wos:000270900900017
  • scopus:70350138735
ISSN
0017-467X
DOI
10.1111/j.1745-6584.2009.00591.x
language
English
LU publication?
yes
id
7964dd18-e807-4868-8be7-8bb08b981a78 (old id 1506344)
date added to LUP
2009-11-23 15:29:48
date last changed
2017-10-29 03:57:57
@article{7964dd18-e807-4868-8be7-8bb08b981a78,
  abstract     = {We present a methodology for global optimal design of ground water quality monitoring networks using a linear mixed-integer formulation. The proposed methodology incorporates ordinary kriging (OK) within the decision model formulation for spatial estimation of contaminant concentration values. Different monitoring network design models incorporating concentration estimation error, variance estimation error, mass estimation error, error in locating plume centroid, and spatial coverage of the designed network are developed. A big-M technique is used for reformulating the monitoring network design model to a linear decision model while incorporating different objectives and OK equations. Global optimality of the solutions obtained for the monitoring network design can be ensured due to the linear mixed-integer programming formulations proposed. Performances of the proposed models are evaluated for both field and hypothetical illustrative systems. Evaluation results indicate that the proposed methodology performs satisfactorily. These performance evaluation results demonstrate the potential applicability of the proposed methodology for optimal ground water contaminant monitoring network design.},
  author       = {Rosberg, Jan-Erik and Bjelm, Leif},
  issn         = {0017-467X},
  language     = {eng},
  number       = {6},
  pages        = {816--821},
  publisher    = {John Wiley & Sons},
  series       = {Ground Water},
  title        = {Global Optimal Design of Ground Water Monitoring Network Using Embedded Kriging},
  url          = {http://dx.doi.org/10.1111/j.1745-6584.2009.00591.x},
  volume       = {47},
  year         = {2009},
}