A FRACTAL MODEL FOR THE TUNNELING-INDUCED GROUND SURFACE SETTLEMENT

Yuan Mei, Xinyu Tian, Xuejuan Li, Chun-Hui He and Abdulrahman Ali Alsolami
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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

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-6

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.

Keywords: Fractal Geometry; Fractal Solitary Wave; Surface Settlement (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501141

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