Mathematical Computations of Long-Term Settlement and Bearing Capacity of Soil Bases and Foundations near Vertical Excavation Pits

Abstract

The present paper describes and provides an analytical solution for the problem of evaluating the settlement and load-bearing capacity of weighty soil layers of limited thickness resting upon incompressible soil bases and an excavation pit wall, upon exposure of the foundation to a distributed load in the vicinity of a wall. The authors developed a method for determining the stressed state component in the reduced engineering problem based on the Ribere–Faylon trigonometric series, accounting for the nonlinear deformation properties of soils. To determine the settlement over time of the foundation near the pit, we used the A.Z. Ter-Martirosyan’s model to describe shear deformations and the Kelvin–Voigt model to describe volume deformations, assuming that ε·z(t) = ε·v(t) + ε·γ(t), according to the Hencky’s system of physical equations. The obtained solutions make it possible to assess the long-term deformation of soil bases and the long-term load-bearing capacity with respect to nonlinear rheological properties in a way that accurately corresponds to the actual performance of subsoils exposed to loading. The theoretical results were followed by numerical experiments to prove their validity.

Characteristics of Deformation and Stability of Ultra-Deep Pit in Plateau Alluvial–Lacustrine Gravel Strata

“…Supporting structures that combine pit walls and internal supports are widely used to bolster pits as they can ensure their stability [40][41][42][43][44]. In response to earth pressure on the side of the pit being released, the pit walls are displaced laterally.…”

Investigating the Number of Monte Carlo Simulations for Statistically Stationary Model Outputs

“…Because of the complexity and non-linearity of geotechnical engineering problems, it is often difficult to directly compute the uncertainty and reliability of model outputs. Monte-Carlo-based probabilistic analysis is, therefore, widely used to evaluate the probability of failure or performance of geotechnical structures and systems under uncertain conditions (e.g., [12][13][14]). The Monte Carlo simulation is a computational technique that uses random sampling and probability distributions to simulate the potential outcomes of a complex system or process.…”