• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Spectral-infinite-element simulations of gravity anomalies

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    ggy324.pdf
    Size:
    7.492Mb
    Format:
    PDF
    Description:
    Published version
    Download
    Type
    Article
    Authors
    Gharti, Hom Nath cc
    Tromp, Jeroen
    Zampini, Stefano cc
    KAUST Department
    Extreme Computing Research Center
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2018-08-07
    Online Publication Date
    2018-08-07
    Print Publication Date
    2018-11-01
    Permanent link to this record
    http://hdl.handle.net/10754/629951
    
    Metadata
    Show full item record
    Abstract
    Gravity anomalies induced by density heterogeneities are governed by Poisson's equation. Most existing methods for modelling such anomalies rely on its integral solution. In this approach, for each observation point, an integral over the entire density distribution needs to be carried out, and the computational cost is proportional to the number of observation points. Frequently, such methods are sensitive to high density contrasts due to inaccurate resolution of the volume integral. We introduce a new approach which directly solves a discretized form of the Poisson/Laplace equation. The main challenge in our approach involves the unbounded nature of the problem, because the potential exists in all of space. To circumvent this challenge, we combine a mapped infinite-element approach with a spectral-element method. Spectral elements represent the domain of interest, and a single layer of infinite elements captures outer space. To solve the weak form of the Poisson/Laplace equation, we use Gauss-Legendre- Lobatto (GLL) quadrature in spectral elements inside the domain of interest. Outside the domain, we use Gauss-Radau quadrature in the infinite direction, and GLL quadrature in the other directions. We illustrate the efficiency and accuracy of our method by comparing calculated gravity anomalies for various density heterogeneities with corresponding analytical solutions. Finally, we consider a complex 3-D model of an ore mine, which consists of both positive and negative density anomalies.
    Citation
    Gharti HN, Tromp J, Zampini S (2018) Spectral-infinite-element simulations of gravity anomalies. Geophysical Journal International 215: 1098–1117. Available: http://dx.doi.org/10.1093/GJI/GGY324.
    Sponsors
    We thank Volker Oye, Katja Sahala, and ISS for access to the mine model. We thank Frederik J. Simons for helpful discussions. Parallel programs were run on computers provided by the Princeton Institute for Computational Science and Engineering (PICSciE). 3D data were visualized using the open-source parallel visualization software ParaView/VTK (www.paraview.org). This research was partially supported by NSF grants 1644826 and 1550901. Our software is open source and freely available via the Computational Infrastructure for Geodynamics (CIG; geodynamics.org). We thank the editor Prof. Bert Vermeersen, Bernhard Steinberger, David Al-Attar, and an anonymous reviewer for their insightful comments which helped to improve the manuscript..
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/GJI/GGY324
    Additional Links
    https://academic.oup.com/gji/article/215/2/1098/5067876
    ae974a485f413a2113503eed53cd6c53
    10.1093/GJI/GGY324
    Scopus Count
    Collections
    Articles; Extreme Computing Research Center; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2022  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.