A Frequency Matching Method for Generation of a Priori Sample Models from Training Images

Katrine Lange; Knud Skou Cordua; Jan Frydendall; Thomas Mejer Hansen; Klaus Mosegaard

A Frequency Matching Method for Generation of a Priori Sample Models from Training Images

Katrine Lange, Knud Skou Cordua, Jan Frydendall, Thomas Mejer Hansen, Klaus Mosegaard

Center for Energy Resources Engineering

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Abstract

This paper presents a Frequency Matching Method (FMM) for generation of a priori sample models based on training images and illustrates its use by an example. In geostatistics, training images are used to represent a priori knowledge or expectations of models, and the FMM can be used to generate new images that share the same multi-point statistics as a given training image. The FMM proceeds by iteratively updating voxel values of an image until the frequency of patterns in the image matches the frequency of patterns in the training image; making the resulting image statistically indistinguishable from the training image.

Original language	English
Title of host publication	Proceedings of IAMG 2011
Publication date	2011
Publication status	Published - 2011
Event	Annual Conference of the International Association for Mathematical Geosciences - Salzburg, Austria Duration: 5 Sept 2011 → 9 Sept 2011 http://iamg2011.at/

Conference

Conference	Annual Conference of the International Association for Mathematical Geosciences
Country/Territory	Austria
City	Salzburg
Period	05/09/2011 → 09/09/2011
Internet address	http://iamg2011.at/

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title = "A Frequency Matching Method for Generation of a Priori Sample Models from Training Images",

abstract = "This paper presents a Frequency Matching Method (FMM) for generation of a priori sample models based on training images and illustrates its use by an example. In geostatistics, training images are used to represent a priori knowledge or expectations of models, and the FMM can be used to generate new images that share the same multi-point statistics as a given training image. The FMM proceeds by iteratively updating voxel values of an image until the frequency of patterns in the image matches the frequency of patterns in the training image; making the resulting image statistically indistinguishable from the training image.",

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year = "2011",

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booktitle = "Proceedings of IAMG 2011",

note = "Annual Conference of the International Association for Mathematical Geosciences, IAMG'11 ; Conference date: 05-09-2011 Through 09-09-2011",

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T1 - A Frequency Matching Method for Generation of a Priori Sample Models from Training Images

AU - Lange, Katrine

AU - Cordua, Knud Skou

AU - Frydendall, Jan

AU - Hansen, Thomas Mejer

AU - Mosegaard, Klaus

PY - 2011

Y1 - 2011

N2 - This paper presents a Frequency Matching Method (FMM) for generation of a priori sample models based on training images and illustrates its use by an example. In geostatistics, training images are used to represent a priori knowledge or expectations of models, and the FMM can be used to generate new images that share the same multi-point statistics as a given training image. The FMM proceeds by iteratively updating voxel values of an image until the frequency of patterns in the image matches the frequency of patterns in the training image; making the resulting image statistically indistinguishable from the training image.

AB - This paper presents a Frequency Matching Method (FMM) for generation of a priori sample models based on training images and illustrates its use by an example. In geostatistics, training images are used to represent a priori knowledge or expectations of models, and the FMM can be used to generate new images that share the same multi-point statistics as a given training image. The FMM proceeds by iteratively updating voxel values of an image until the frequency of patterns in the image matches the frequency of patterns in the training image; making the resulting image statistically indistinguishable from the training image.

M3 - Article in proceedings

BT - Proceedings of IAMG 2011

T2 - Annual Conference of the International Association for Mathematical Geosciences

Y2 - 5 September 2011 through 9 September 2011

ER -

A Frequency Matching Method for Generation of a Priori Sample Models from Training Images

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