IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p962-d1067253.html
   My bibliography  Save this article

A Fast Forward and Inversion Strategy for Three-Dimensional Gravity Field

Author

Listed:
  • Jianke Qiang

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)

  • Jing Xu

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)

  • Kai Lu

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)

  • Zhenwei Guo

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
    Hunan Key Laboratory of Nonferrous Resources and Geological Hazard Exploration, Changsha 410083, China)

Abstract

Obtaining a three-dimensional (3D) density distribution within a reasonable time is one of the most critical problems in gravity exploration. In this paper, we present an efficient 3D forward modeling and inversion method for gravity data. In forward modeling, the 3D model is discretized into multiple horizontal layers, with the gravity field at a point on the surface being the sum of the gravity fields from all layers. To calculate the gravity field from each horizontal layer, we use the fast Fourier transform (FFT) method and the Block Toeplitz with Toeplitz Blocks (BTTB) matrix, which dramatically reduces both the computation time and storage requirement. In the inversion, the observed gravity data are separated into multiple gravity components of different depths using the cutting separation method. An iterative method is used to adjust the model to fit the above gravity component for each cutting radius. The initial model is constructed from the transformation of gravity components. These methods were applied to both synthetic data and field data. The numerical simulation validated the proposed methods, and the inversion results of field data were consistent with information obtained from well logging. The computational time and memory usage were also reasonable.

Suggested Citation

  • Jianke Qiang & Jing Xu & Kai Lu & Zhenwei Guo, 2023. "A Fast Forward and Inversion Strategy for Three-Dimensional Gravity Field," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:962-:d:1067253
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/962/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/4/962/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:4:p:962-:d:1067253. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.