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Study on a new inversion method for non-uniform distribution of rock material parameters

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Bulletin of Engineering Geology and the Environment Aims and scope Submit manuscript

Abstract

Combining the digital speckle correlation method (DSCM) with the finite element model updating (FEMU) method, a new inversion method of non-uniform distribution of rock material parameters is proposed to study the characteristics of non-uniform distribution of rock material parameters and its evolution with the loading process. The non-uniform displacement field of the specimen during experimental loading is calculated based on DSCM. Based on FEMU, the experimental loading process is simulated in finite element software ABAQUS. Under the initial conditions, different material parameters (elastic modulus and Poisson’s ratio) are given for each element according to Weibull distribution to calculate the non-uniform displacement field. The objective function is constructed by the difference between the experimental displacement field and the finite element simulation displacement field. The objective function is optimized and iterated by the genetic algorithm (GA) and the particle swarm optimization (PSO) algorithm to calculate the elastic modulus and Poisson’s ratio of the experimental specimen. The inversion method for non-uniform distribution of rock materials is applied to the uniaxial compression experiment of sandstone, and the non-uniform distribution of elastic modulus and Poisson’s ratio under different loading states is obtained. The inversion method for non-uniform distribution of rock material parameters proposed in this paper provides a basis for complex experiments or structural system parameter inversion.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant No.51774015), the Fundamental Research Funds for the Central Universities (Grant No.2022YJSAQ09).

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Contributions

All authors contributed to the study conception and design. The first draft of the manuscript was written by Jianing Wu. Xiaobin Yang and Yimin Song revised and finalized the manuscript. All the figures were prepared by Jianing Wu and Yanyu Pei. The examination and correction of the manuscript were carried out by Qiudi Sun. The project was supervised by Xiaobin Yang and Yimin Song. All authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Xiaobin Yang.

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The authors declare no competing interests.

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Wu, J., Yang, X., Song, Y. et al. Study on a new inversion method for non-uniform distribution of rock material parameters. Bull Eng Geol Environ 81, 280 (2022). https://doi.org/10.1007/s10064-022-02760-6

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  • DOI: https://doi.org/10.1007/s10064-022-02760-6

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