Damage to the overlying soil caused by fault misalignment poses a significant threat to the structural safety of buried pipelines crossing faults

which is a non-negligible factor in the design of underground pipelines in complex environments. Existing research rarely involves analytical solutions for the force and deformation of pipeline structures under normal and reverse fault movements

and theoretical studies on fault-pipeline interactions often treat the pipeline structure as continuous

with little consideration for the influence of pipeline joints. Firstly

soil displacement curves for both normal and reverse faults are derived using the erf and erfc functions

based on a simplified SSR (stationary zone

shearing zone

rigid body zone) soil deformation model. Secondly

the deformation and internal force of the buried pipeline structure are solved using the two-parameter Pasternak foundation model and the finite difference method. Finally

the theoretical analytical solution is compared with existing experimental and 3D numerical simulation results

showing good agreement. In addition

sensitivity analyses are conducted for key physical parameters

including fault dip

fault-pipeline intersection location

and joint rotation stiffness. The results show that fault dip will change the position of the pipeline displacement curve and axial stress curve

but the maximum displacement and maximum axial stress are basically identical. The intersection of the fault and the pipeline will not only change the shape of the pipeline displacement curve and axial stress curve

but also alter the maximum axial stress. With the increase of joint rotation stiffness

the maximum axial stress value of the pipeline increases. When the joint rotation stiffness is large enough

the jointed pipeline can be calculated as if it is continuous.