Skip to main content
Log in

Nonlinear chaotic characteristic in leaching process and prediction of leaching cycle period

  • Geological, Civil, Energy and Traffic Engineering
  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

A laboratory leaching experiment with samples of different grades was carried out, and an analytical method of concentration of leaching solution was put forward. For each sample, respectively, by applying phase space reconstruction for time series of monitoring data, the saturated embedding dimension and the correlation dimension were obtained, and the evolution laws between neighboring points in the reconstructed phase space were revealed. With BP neural network, a prediction model of concentration of leaching solution was set up and the maximum error of which was less than 2%. The results show that there exist chaotic characteristics in leaching system, and samples of different grades have different nonlinear dynamic features; the higher the grade of sample, the smaller the correlation dimension; furthermore, the maximum Lyapunov index, energy dissipation and chaotic extent of the leaching system increase with grade of the sample; by phase space reconstruction, the subtle change features of concentration of leaching solution can be magnified and the inherent laws can be fully demonstrated. According to the laws, a prediction model of leaching cycle period has been established to provide a theoretical foundation for solution mining.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. LI Yu-hu, LIU Zhi-hong, ZHAO Zhong-wei, LI Qi-hou, LIU Zhi-yong, ZENG Li. Determination of arsenic speciation in secondary zinc oxide and arsenic leachability [J]. Transactions of Nonferrous Metals Society of China, 2012, 22(5): 1209–1216.

    Article  Google Scholar 

  2. WATLING H R. The bioleaching of sulphide minerals with emphasis on copper sulphides: A review [J]. Hydrometallurgy, 2006, 84(1/2): 81–108.

    Article  Google Scholar 

  3. WANG Yi-ming, WU Ai-xiang, ZUO Heng, YANG Bao-hua. Effect of particles sedimentation during leaching on seepage characteristic of copper dumps [J]. Transactions of Nonferrous Metals Society of China, 2007, 17(12): 2074–2078. (in Chinese)

    Google Scholar 

  4. LI Hong-xu, CANG Da-qiang, QIU Guan-zhou, WU Ai-xiang. Kinetics of secondary copper sulfide heap bioleaching concerning potential and heap constitution [J]. Journal of Central South University: Science and Technology, 2006, 37(6): 1087–1093. (in Chinese)

    Google Scholar 

  5. SIVAKUMAR B. Chaos theory in geophysics: Past, present and future [J]. Chaos, Solitons and Fractals, 2004, 19(2): 441–462.

    Article  MathSciNet  MATH  Google Scholar 

  6. LIU Xin-yu, LIU Ai-hua, LI Xi-bing. Experimental study of permeability of rock-like material with filling fractures under high confining pressure [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(7): 1391–1398.

    Google Scholar 

  7. WU Ai-xiang, LIU Chao, YIN Sheng-hua, KE Jing-fu, XUE Zhen-lin. Leaching properties of quasi-sandstone type ore [J]. The Chinese Journal of Nonferrous Metals, 2014, 24(7): 1856–1863. (in Chinese)

    Google Scholar 

  8. PANAGOULIA D, VLAHOGIANNI E I. Non-linear dynamics and recurrence analysis of extreme precipitation for observed and general circulation model generated climates [J]. Hydrological Processes, 2014, 28(4): 2281–2292.

    Article  Google Scholar 

  9. LIU Zhi-xiang, GUO Yong-le, LIU Chao, LU Jun-hua. Laws of strata energy release and corresponding safety waming system in metal mine [J]. Transactions of Nonferrous Metals Society of China, 2011, 21(11): 2508–2512.

    Article  MathSciNet  Google Scholar 

  10. ALBANO A M, MUENCH J, SCHWARTZ C, MEES A I, RAPP P E. Singular-value decomposition and the Grassberger-Procaccia algorithm [J]. Physical Review A, 1988, 38(6): 3017–3026.

    Article  MathSciNet  Google Scholar 

  11. SHERIF J, SINGHANIA R. Extracting order from chaos [J]. Kybernetes, 1972, 38(6): 1014–1020.

    MATH  Google Scholar 

  12. BRESTEN C L, JAE H J. A study on the numerical convergence of the discrete logistic map [J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(7): 3076–3088.

    Article  MathSciNet  MATH  Google Scholar 

  13. WOLF A, SWIFT J B, SWINNEY H L, VASTANO J A. Determining Lyapunov exponents from a time series [J]. Physica, 1985, 16(3): 285–317.

    MathSciNet  MATH  Google Scholar 

  14. SHAHVERDIEV E M, HASHIMOVA L H, HASHIMOVA N T. Chaos synchronization in some power systems [J]. Chaos, Solitons and Fractals, 2008, 37(3): 827–834.

    Article  Google Scholar 

  15. LIU Zhi-xiang, LIU Chao, LIU Qiang, YUE Yan-liang. Chaotic time series reconstruction and security alarm system of rock mass deformation in undersea mining [J]. Chinese Journal of Geotechnical Engineering, 2010, 32(10): 1530–1534. (in Chinese)

    Google Scholar 

  16. ANDERS V. Fourier analysis and its applications [M]. New York: Springer-Verlag, 2003: 122–145.

    Google Scholar 

  17. KAYACAN E, ULUTAS B, KAYNAK O. Grey system theory-based models in time series prediction [J]. Expert Systems with Applications, 2010, 37(2): 1784–1789.

    Article  Google Scholar 

  18. SIVAKUMAR B, JAYAWARDENA A W, FERNANDO T M. River flow forecasting: Use of phase-space reconstruction and artificial neural networks approaches [J]. Journal of Hydrology, 2002, 265(1): 225–245.

    Article  Google Scholar 

  19. LIU Zhi-xiang, TANG Zhi-xiang, WANG Wei-hua, SUN Jing-jing, PENG Kang. New algorithm of mine slope reliability based on limiting state hyper-plane and its engineering application [J]. Journal of Central South University, 2015, 22(1): 317–322.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sheng-hua Yin  (尹升华).

Additional information

Foundation item: Project(51374035) supported by the National Natural Science Foundation of China; Project(2012BAB08B02) supported by the National “Twelfth Five” Science and Technology, China; Project(NCET-13-0669) supported by New Century Excellent Talents in University of Ministry of Education of China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, C., Wu, Ax., Yin, Sh. et al. Nonlinear chaotic characteristic in leaching process and prediction of leaching cycle period. J. Cent. South Univ. 23, 2935–2940 (2016). https://doi.org/10.1007/s11771-016-3357-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-016-3357-9

Keywords

Navigation