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A Fractal Model For The Tunneling-Induced Ground Surface Settlement

Author

Listed:
  • YUAN MEI

    (School of Civil Engineering, Xi ’an University of Architecture and Technology, Xi ’an, P. R. China†Shaanxi Key Laboratory of Geotechnical and Underground, Space Engineering, Xi’an, P. R. China)

  • XINYU TIAN

    (School of Civil Engineering, Xi ’an University of Architecture and Technology, Xi ’an, P. R. China)

  • XUEJUAN LI

    (��School of Science, Xi ’an University of Architecture and Technology, Xi’an, P. R. China)

  • CHUN-HUI HE

    (School of Civil Engineering, Xi ’an University of Architecture and Technology, Xi ’an, P. R. China)

  • ABDULRAHMAN ALI ALSOLAMI

    (�Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia)

Abstract

The Gaussian function was initially adopted to model the tunneling-induced ground surface settlement, but it could not describe the porosity’s effect on the settlement. To solve the problem, Yu’s fractal theory is implemented to model the porous grand’s geometric property, and the surface settlement profile is modeled by a fractal solitary wave, furthermore, the effects of the maximal surface settlement, the porosity and Yu’s fractal dimension on the settlement’s profile are discussed. The new model offers a new view to predict the morphology of the surface settlement.

Suggested Citation

  • Yuan Mei & Xinyu Tian & Xuejuan Li & Chun-Hui He & Abdulrahman Ali Alsolami, 2023. "A Fractal Model For The Tunneling-Induced Ground Surface Settlement," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-6.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501141
    DOI: 10.1142/S0218348X23501141
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