Using many pilot points and singular value decomposition in groundwater model calibration

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Standard

Using many pilot points and singular value decomposition in groundwater model calibration. / Christensen, Steen; Doherty, John.

ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. red. / Jens Christian Refsgaard; Erik Nygaard. Bind 2 GEUS, 2008. s. 448-453.

Publikation: Bidrag til bog/antologi/rapport/proceedingKonferencebidrag i proceedingsForskning

Harvard

Christensen, S & Doherty, J 2008, Using many pilot points and singular value decomposition in groundwater model calibration. i JC Refsgaard & E Nygaard (red), ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. bind 2, GEUS, s. 448-453, ModelCARE’2007 , Int. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling, København, Danmark, 09/09/2007.

APA

Christensen, S., & Doherty, J. (2008). Using many pilot points and singular value decomposition in groundwater model calibration. I J. C. Refsgaard, & E. Nygaard (red.), ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings (Bind 2, s. 448-453). GEUS.

CBE

Christensen S, Doherty J. 2008. Using many pilot points and singular value decomposition in groundwater model calibration. Refsgaard JC, Nygaard E, red. I ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. GEUS. s. 448-453.

MLA

Christensen, Steen og John Doherty "Using many pilot points and singular value decomposition in groundwater model calibration". og Refsgaard, Jens Christian Nygaard, Erik (red.). ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. GEUS. 2008, 448-453.

Vancouver

Christensen S, Doherty J. Using many pilot points and singular value decomposition in groundwater model calibration. I Refsgaard JC, Nygaard E, red., ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. Bind 2. GEUS. 2008. s. 448-453

Author

Christensen, Steen ; Doherty, John. / Using many pilot points and singular value decomposition in groundwater model calibration. ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling: Pre-published proceedings. red. / Jens Christian Refsgaard ; Erik Nygaard. Bind 2 GEUS, 2008. s. 448-453

Bibtex

@inproceedings{6ef5bcb0bf8b11dc88d5000ea68e967b,
title = "Using many pilot points and singular value decomposition in groundwater model calibration",
abstract = "A significant practical problem with the pilot point method is to choose the location of the pilot points. We present a method that is intended to relieve the modeller from much of this responsibility. The basic idea is that a very large number of pilot points are distributed more or less uniformly over the model area. Singular value decomposition (SVD) of the normal matrix is used to reduce the large number of pilot point parameters to a smaller number of so-called super parameters that can be estimated by nonlinear regression from the available observations. A number of eigenvectors corresponding to significant Eigen values (resulting from the decomposition) is used to transform the model from having many pilot point parameters to having a few super parameters. A synthetic case model is used to analyze and demonstrate the application of the presented method of model parameterization and calibration.",
author = "Steen Christensen and John Doherty",
year = "2008",
language = "English",
volume = "2",
pages = "448--453",
editor = "Refsgaard, {Jens Christian} and Erik Nygaard",
booktitle = "ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling",
publisher = "GEUS",

}

RIS

TY - GEN

T1 - Using many pilot points and singular value decomposition in groundwater model calibration

AU - Christensen, Steen

AU - Doherty, John

PY - 2008

Y1 - 2008

N2 - A significant practical problem with the pilot point method is to choose the location of the pilot points. We present a method that is intended to relieve the modeller from much of this responsibility. The basic idea is that a very large number of pilot points are distributed more or less uniformly over the model area. Singular value decomposition (SVD) of the normal matrix is used to reduce the large number of pilot point parameters to a smaller number of so-called super parameters that can be estimated by nonlinear regression from the available observations. A number of eigenvectors corresponding to significant Eigen values (resulting from the decomposition) is used to transform the model from having many pilot point parameters to having a few super parameters. A synthetic case model is used to analyze and demonstrate the application of the presented method of model parameterization and calibration.

AB - A significant practical problem with the pilot point method is to choose the location of the pilot points. We present a method that is intended to relieve the modeller from much of this responsibility. The basic idea is that a very large number of pilot points are distributed more or less uniformly over the model area. Singular value decomposition (SVD) of the normal matrix is used to reduce the large number of pilot point parameters to a smaller number of so-called super parameters that can be estimated by nonlinear regression from the available observations. A number of eigenvectors corresponding to significant Eigen values (resulting from the decomposition) is used to transform the model from having many pilot point parameters to having a few super parameters. A synthetic case model is used to analyze and demonstrate the application of the presented method of model parameterization and calibration.

M3 - Article in proceedings

VL - 2

SP - 448

EP - 453

BT - ModelCARE’2007 , nt. Conf. on Calibration and Reliability in Groundwater Modelling – Credibility in Modelling

A2 - Refsgaard, Jens Christian

A2 - Nygaard, Erik

PB - GEUS

ER -