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An iterative scheme for the determination of the conformal mapping coefficients used in closed-form solutions for tunnels with arbitrary geometry

October 2023

Conference: 15th ISRM Congress 2023 & 72nd Geomechanics Colloquium. Schubert & Kluckner (eds.) © ÖGG At: Salzburg, Austria

Authors:

Graz University of Technology

Graz University of Technology

Graz University of Technology

The paper deals with the determination of the conformal mapping coefficients as used within analytical solutions in the framework of the complex variable theory and the method of conformal mapping. In this contribution an iterative scheme after He et al. (2022) is utilized to update points on the tunnel boundary and consequently to determine for the conformal mapping coefficients by solving a linear system of equations based on least sqare approximations.

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