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.