IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/207021.html
   My bibliography  Save this article

Method of Integral Equations for the Problem of Electrical Tomography in a Medium with Ground Surface Relief

Author

Listed:
  • Tolkyn Mirgalikyzy
  • Balgaisha Mukanova
  • Igor Modin

Abstract

The direct task of the subsurface exploration of a homogeneous medium with surface relief by the resistivity method is analyzed. To calculate the resistivity field for such a medium, the method of integral equations was successfully applied for the first time. The corresponding integral equation for the density of secondary current sources on the surface of the medium was established. The method of computational grid construction, adapted to the characteristics of the surface relief, was developed for the numerical solution of the integral equation. This method enables the calculation of the resistivity field of a point source on a surface that is not smooth and allows for steep ledges. Numerical examples of the calculation of resistivity fields and apparent resistivity are shown. The anomalies of apparent resistivity arising from the deviation of the surface shape from a flat medium were quantitatively established as model examples. Calculations of apparent resistivity for the direct current sounding method were carried out using modifications of the electrical tomography approach.

Suggested Citation

  • Tolkyn Mirgalikyzy & Balgaisha Mukanova & Igor Modin, 2015. "Method of Integral Equations for the Problem of Electrical Tomography in a Medium with Ground Surface Relief," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:207021
    DOI: 10.1155/2015/207021
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2015/207021.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2015/207021.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/207021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnljam:207021. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.