Inverse analysis of laboratory data and observations for evaluation of backward erosion piping process

An inverse analysis procedure has been developed to interpret collected pore pressure data and observations during backward erosion piping (BEP) initiation and progression in sandy soils. The procedure has been applied to laboratory models designed to mimic the initiation and progression of BEP through a constricted vertical outlet. The inverse analysis uses three-dimensional (3D) finite element method (FEM) to successively produce models of the hydraulic head regime surrounding progressive stages of BEP based on observations at the sample surface and pore pressure measurements obtained from the laboratory models. The inverse analysis results in a series of 3D contour plots that represent the hydraulic-head regime at each stage of the BEP development, allowing for assessing the development of BEP mechanism as well as calculating the critical hydraulic conditions required for various BEP stages to initiate and progress. Interpretation of the results identified four significant stages of the piping process: (1) loosened zone initiation, (2) channel initiation and progression, (3) riser sand fluidization, and (4) loosened zone progression. Interpretation of the hydraulic head contour plots allows assessment of the critical hydraulic gradients needed to initiate and progress various components of the BEP development.