Probabilistic Calibration of a Modified Van der Poel Model Representing the Viscoelastic Behavior of Sandstone

摘要

The study of rheological behavior of rocks is fundamental to the interpretation of long-term time-dependent deformations and of fracturing processes. This work introduces the probabilistic calibration method to account for the uncertainty resulting from the sources of evidence used to conduct a model calibration (i.e. experimental observations, model prediction and expert's judgment). Conditioned on a series of triaxial compression creep experiments conducted on sandstone, this research introduces a systematic methodology through the probabilistic assessment of a modified Van der Poel model to simulate the viscoelastic behavior of a sandstone specimen under a single loading condition. Results show the structural correlation (linear and non-linear) between the model parameters, and the effects they pose on the rheological behavior of the specimen.