Truncated multiGaussian fields and effective conductance of binary media
Saved in:
| Title: | Truncated multiGaussian fields and effective conductance of binary media |
|---|---|
| Authors: | McKenna, Sean A.1 samcken@sandia.gov, Ray, Jaideep2, Marzouk, Youssef3, van Bloemen Waanders, Bart4 |
| Source: | Advances in Water Resources. May2011, Vol. 34 Issue 5, p617-626. 10p. |
| Subjects: | Binary control systems, Gaussian processes, Thermal conductivity, Algorithms, Approximation theory, Estimation theory, Computer simulation, Numerical analysis |
| Abstract: | Abstract: Truncated Gaussian fields provide a flexible model for defining binary media with dispersed (as opposed to layered) inclusions. General properties of excursion sets on these truncated fields are coupled with a distance-based upscaling algorithm and approximations of point process theory to develop an estimation approach for effective conductivity in two-dimensions. Estimation of effective conductivity is derived directly from knowledge of the kernel size used to create the multiGaussian field, defined as the full-width at half maximum (FWHM), the truncation threshold and conductance values of the two modes. Therefore, instantiation of the multiGaussian field is not necessary for estimation of the effective conductance. The critical component of the effective medium approximation developed here is the mean distance between high conductivity inclusions. This mean distance is characterized as a function of the FWHM, the truncation threshold and the ratio of the two modal conductivities. Sensitivity of the resulting effective conductivity to this mean distance is examined for two levels of contrast in the modal conductances and different FWHM sizes. Results demonstrate that the FWHM is a robust measure of mean travel distance in the background medium. The resulting effective conductivities are accurate when compared to numerical results and results obtained from effective media theory, distance-based upscaling and numerical simulation. [Copyright &y& Elsevier] |
| Copyright of Advances in Water Resources is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 60162210 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Truncated multiGaussian fields and effective conductance of binary media – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22McKenna%2C+Sean+A%2E%22">McKenna, Sean A.</searchLink><relatesTo>1</relatesTo><i> samcken@sandia.gov</i><br /><searchLink fieldCode="AR" term="%22Ray%2C+Jaideep%22">Ray, Jaideep</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Marzouk%2C+Youssef%22">Marzouk, Youssef</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22van+Bloemen+Waanders%2C+Bart%22">van Bloemen Waanders, Bart</searchLink><relatesTo>4</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Advances+in+Water+Resources%22">Advances in Water Resources</searchLink>. May2011, Vol. 34 Issue 5, p617-626. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Binary+control+systems%22">Binary control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+processes%22">Gaussian processes</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+conductivity%22">Thermal conductivity</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Estimation+theory%22">Estimation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: Truncated Gaussian fields provide a flexible model for defining binary media with dispersed (as opposed to layered) inclusions. General properties of excursion sets on these truncated fields are coupled with a distance-based upscaling algorithm and approximations of point process theory to develop an estimation approach for effective conductivity in two-dimensions. Estimation of effective conductivity is derived directly from knowledge of the kernel size used to create the multiGaussian field, defined as the full-width at half maximum (FWHM), the truncation threshold and conductance values of the two modes. Therefore, instantiation of the multiGaussian field is not necessary for estimation of the effective conductance. The critical component of the effective medium approximation developed here is the mean distance between high conductivity inclusions. This mean distance is characterized as a function of the FWHM, the truncation threshold and the ratio of the two modal conductivities. Sensitivity of the resulting effective conductivity to this mean distance is examined for two levels of contrast in the modal conductances and different FWHM sizes. Results demonstrate that the FWHM is a robust measure of mean travel distance in the background medium. The resulting effective conductivities are accurate when compared to numerical results and results obtained from effective media theory, distance-based upscaling and numerical simulation. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Advances in Water Resources is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=60162210 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.advwatres.2011.02.011 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 617 Subjects: – SubjectFull: Binary control systems Type: general – SubjectFull: Gaussian processes Type: general – SubjectFull: Thermal conductivity Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Estimation theory Type: general – SubjectFull: Computer simulation Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Truncated multiGaussian fields and effective conductance of binary media Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: McKenna, Sean A. – PersonEntity: Name: NameFull: Ray, Jaideep – PersonEntity: Name: NameFull: Marzouk, Youssef – PersonEntity: Name: NameFull: van Bloemen Waanders, Bart IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2011 Type: published Y: 2011 Identifiers: – Type: issn-print Value: 03091708 Numbering: – Type: volume Value: 34 – Type: issue Value: 5 Titles: – TitleFull: Advances in Water Resources Type: main |
| ResultId | 1 |
