IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v295y2017icp16-23.html
   My bibliography  Save this article

Sweep method for solving the Roesser type equation describing the motion in the pipeline

Author

Listed:
  • Aliev, Fikret A.
  • Aliev, N.A.
  • Safarova, N.A.
  • Tagiev, R.M.
  • Rajabov, M.F.

Abstract

The initial problem for the system of hyperbolic equations describing the motion in oil production with gas lift method is considered. Introducing a new variable which is the difference of gas pressure and volume (or gas–liquid mixture (GLM)) multiplied by a constant number (balancing unit of measurements), the original system of equations is reduced to the such form of equations which after appropriate discretization becomes a Roesser type discrete equation. Searching the new variable as a linear function of the volume of gas (or GLM), it is shown that the coefficients satisfy the two difference equations of the first order, one of which corresponds to the quadratic equation and the second is a linear difference equation of the first order whose coefficients depend on the solution of the first one. In the case when the volume of the assessment gas and the motion (initial conditions) are constant at the mouth, it is shown that the results obtained by the Roesser model coincide with the known results, where the concrete analytical expression for the parameter of the balancing unit of measurements is provided.

Suggested Citation

  • Aliev, Fikret A. & Aliev, N.A. & Safarova, N.A. & Tagiev, R.M. & Rajabov, M.F., 2017. "Sweep method for solving the Roesser type equation describing the motion in the pipeline," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 16-23.
    • Handle: RePEc:eee:apmaco:v:295:y:2017:i:c:p:16-23
    DOI: 10.1016/j.amc.2016.09.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316305926
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.09.022?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:apmaco:v:295:y:2017:i:c:p:16-23. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.