Nondestructive Transmission Tomography of Pipeline Surface Defects

Based on results of theoretical analysis, a new method of transmission tomography of pipeline surface defects using ultrasound waves propagating along the pipeline walls is proposed. The waves are excited by a source and received by sensors that are located on ring-shaped lines and spaced along the tube surface. These waves propagating along the pipe surface represent either left or right handed rectilinear cylindrical waves like torsion waves. When a defect arises on the pipeline surface, the resulting waves are accompanied by changes in their shadow projections at the controlled pipe end. The problem of defect tomography is to determine locations and forms of defects using the backward projections. The physical feature of this method is that unlike traditional tomography, these projections arise on mutually intersecting left and right handed trajectories. The problem is solved by multiple joining of cylindrical pipe sections unfolded onto the plane in which all wave paths become rectilinear. A number of examples given in the paper confirm the possibility of restoration of locations and forms of various defects by the proposed method.

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References

  1. 1.

    E. N. Lessing, A. G. Sokolov, and A. F. Lileev, Sheet-Metal Structures [in Russian], Stroiizdat, Moscow (1970).

    Google Scholar 

  2. 2.

    G. Owojaiye and Y. Sun, Ad Hoc Networks, No. 8, 1637–1653 (2017).

    Google Scholar 

  3. 3.

    M. A. Isakovich, General Acoustics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  4. 4.

    L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media: Hydrodynamics and Elasticity Theory [in Russian], Association of State Book and Journal Publishing; State Publishing House of Technical and Theoretical Literature, Leningrad (1944).

    Google Scholar 

  5. 5.

    I. A. Viktorov, Surface Acoustic Waves in Solids [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  6. 6.

    V. P. Yakubov, D. Ya. Sukhanov, S. É. Shipilov, and A. V. Klokov, Radio Wave Tomography: Achievements and Prospects: A Monograp [in Russian], Publishing House of Scientific and Technology Literature, Tomsk (2014).

  7. 7.

    S. A. Tereshchenko, Methods of Computing Tomography [in Russian], Fizmatlit, Moscow (2004).

    Google Scholar 

  8. 8.

    F. Natterer, Mathematical Aspects of Computerized Tomography [Russian translation], Mir, Moscow (1990).

    Google Scholar 

  9. 9.

    V. P. Yakubov and S. É. Shipilov, Inverse Problems of Radio Physics [in Russian], Publishing House of Scientific and Technology Literature, Tomsk (2016).

    Google Scholar 

  10. 10.

    N. Blaunstein and V. Yakubov, eds., Electromagnetic and Acoustic Wave Tomography: Direct and Inverse Problems in Practical Applications, CRC Press Taylor & Francis Group, Boca Raton (2019).

    Google Scholar 

Download references

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Correspondence to G. A. Bagreev or V. P. Yakubov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 73–78, February, 2020.

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Bagreev, G.A., Yakubov, V.P. Nondestructive Transmission Tomography of Pipeline Surface Defects. Russ Phys J 63, 263–269 (2020). https://doi.org/10.1007/s11182-020-02030-6

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Keywords

  • ultrasound
  • set of multi-angle projections
  • backward projection method
  • tomography