A displacement back analysis algorithm is developed, considering the time-dependent effect of the rock mass. It can map spatially distributed the first elastic modulus (E1), viscidity coefficient (η1), and the second elastic modulus (E2) of the Kelvin-Voigt viscoelastic constitutive model (VCM) and the Poynting-Thomson VCM in a rock mass by fusion of the observed displacement data from the excavation of an unlined rock cavern. The algorithm is tested and validated using numerical experiments with a synthetic heterogeneous rock mass. The results of the experiments show that this approach yields unbiased estimates of E1, η1, and E2 fields and quantifies their uncertainty. Further, the estimated fields closely predict shear strain distribution and displacements field in the example.
- Displacement back analysis
- Successive linear estimator
- Unlined rock cavern
- Viscoelastic parameters
ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Computer Science Applications