Inversion Method on Azimuth Angle Orientation of Non-direction Borehole Strain Meter

  • Anxu Wu
  • Leyin Hu
  • Layue Li
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 128)


Borehole strain technique has been widely used in geophysics and earthquake departments. Earthquake Administration of Beijing Municipality fixed several borehole strain meters, and got high-quality data, but they didn’t measure the apparatus’ azimuth angle because of being limited by techniques, resulting in a failure in orienting for the borehole strain meter, impeding the exploitation of tide information. Therefore, determination of the azimuth of borehole strain meter is very significant; Therefore, based on that solid tide’s theoretic value could be calculated, considering observation data and its main influencing factors, and using developed Nakai solid tide fitting model, we proceeded effective simulation with the borehole strain observational data of Gubeikou station and the nonlinear particle swarm optimization method, we obtained the apparatus’s azimuth angle of the station, then we did an actual test of the inversion model with the other time observation data and the obtained optimizing solution and got satisfactory results. The inversion and analysis process of Borehole strain azimuth angle orientation indicate that the azimuth angle inversion scheme is feasible and the model has high accuracy, the result is significant for fully using borehole tide observation data to study geodynamic and earthquake forecast.


Particle Swarm Optimization Particle Swarm Optimization Algorithm Azimuth Angle Earth Tide Inversion Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Nakai, S.: Pre-processing of tidal data. BIM 76, 4334–4340 (1977)Google Scholar
  2. 2.
    Jiang, Z., Zhang, Y.B.: A differential analytical-representation of the theoretical value of earth tide and the fittesting of earth tide data. Acta Geophysica Siniva 37(6), 776–786 (1994) (in Chinese)Google Scholar
  3. 3.
    Zhang, Y.B.: Applicatlon of numerical differential in Nakai process of tidal data. Crustal Deformation and Earthquake 9(4), 79–83 (1989) (in Chinese) Google Scholar
  4. 4.
    Tang, J.A.: The zenith distance formulas of the first order differential quotient for the theoretic value of the earth tides applied to the fittesting of the gravity, tilter and line strain earth tides. Crustal Deformation and Earthquake 10(2), 1–8 (1990) (in Chinese) Google Scholar
  5. 5.
    Feng, K., Zhang, J.Z., Zhang, Q.X.: Numerical computing methods. Defense Industry Press, Beijing (1978) (in Chinese) Google Scholar
  6. 6.
    Kennedy, J., Eberhart, R.: Particle swarm optimization. In: IEEE International Conference on Neural Networks, vol. 4(27), pp. 1942–1948 (1995)Google Scholar
  7. 7.
    Eberhart, R., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp. 39–43 (1995)Google Scholar

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Earthquake Administration of Beijing MunicipalityBeijingChina
  2. 2.Institute of Earthquake ScienceCEABeijingChina

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