Analytical Solution for the Longitudinal Response of Pipeline Under Fault Dislocation Based on Pasternak Foundation

Fault dislocation causes deformation of the surrounding rock mass, which is the main factor leading to the destruction of buried pipeline structures. In this paper, we introduce the Pasternak double-parameter model to accurately consider the nonlinear interaction between the pipeline and the foundation. The pipeline’s longitudinal response to fault dislocation is determined using the complementary error function. The analytical solution is validated through numerical simulations and existing literature, demonstrating its applicability and feasibility. Additionally, a comprehensive sensitivity analysis is conducted on the fault dip and coefficient of subgrade reaction. The analytical solution confirms the numerical simulation and previous research, demonstrating its effectiveness in analysing pipeline response to fault dislocation. The displacement, bending moment, and shear force of the pipeline structure vary with fault dip angles. Increasing the coefficient of subgrade reaction reduces the affected area of the pipeline structure, indicating stronger foundation restraint. The pipeline structure in the affected area undergoes significant changes, leading to stress concentration and making it the primary zone for disasters. Our study results demonstrate an improved understanding of longitudinal response and effective methods to enhance pipeline anti-dislocation capability during fault dislocation.