A FRACTAL MODEL FOR THE TUNNELING-INDUCED GROUND SURFACE SETTLEMENT-Reference-Cited by-同舟云学术

A FRACTAL MODEL FOR THE TUNNELING-INDUCED GROUND SURFACE SETTLEMENT

Published:2023-01 Issue:09 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

MEI YUAN¹²^ORCID,TIAN XINYU¹^ORCID,LI XUEJUAN³^ORCID,HE CHUN-HUI¹^ORCID,ALSOLAMI ABDULRAHMAN ALI⁴^ORCID

Affiliation:

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

2. Shaanxi Key Laboratory of Geotechnical and Underground, Space Engineering, Xi’an, P. R. China

3. School of Science, Xi ’an University of Architecture and Technology, Xi’an, P. R. China

4. 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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23501141

Reference49 articles.

1. Centrifuge modeling of tunneling-induced ground surface settlement in sand

2. A new equation for estimating the maximum surface settlement above tunnels excavated in soft ground

3. Numerical modeling of tunneling effect on buried pipelines

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