IDEAS home Printed from https://ideas.repec.org/a/ibn/eap123/v15y2026i1p1.html

Surface Contamination Inverse Problem for 3D Diffusion Equation

Author

Listed:
  • Jamie A. Chin

Abstract

A contaminated surface patch has diffused in time within an aqueous volume when it is discovered. Emergency workers, with limited access and time, collect surface samples and those at one other nearby elevation. Only sparse space-time data is available and clever detective work is needed. Where, when and how did the pollution originate? What was its size and shape? Can this information be extrapolated, knowing only the diffusion coefficient, from this sparse set of data? An intuitively motivated inverse procedure, assisted by an accurate Alternating Direction Implicit solver operable in reverse time, shows that this is possible, and detailed three-dimensional diffusion equation validations are provided. This capability is useful to remedial correction, policy development, liability assignment and other issues pertinent governance, as well as to other related technical applications.

Suggested Citation

  • Jamie A. Chin, 2026. "Surface Contamination Inverse Problem for 3D Diffusion Equation," Environment and Pollution, Canadian Center of Science and Education, vol. 15(1), pages 1-1, March.
    • Handle: RePEc:ibn:eap123:v:15:y:2026:i:1:p:1
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/ep/article/download/0/0/52291/56945
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/ep/article/view/0/52291
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:eap123:v:15:y:2026:i:1:p:1. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.