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Analytical solution of soil spring constant for buried pipeline-soil lateral dynamic interaction

SUN Qianwei,LIU Wei,LI Jie(Department of Building Engineering,Tongji University,Shanghai 200092,China)  
Based on one-dimensional wave motion theory in cylindrical coordinates,the analytical expression of soil spring constant for buried pipeline-soil lateral dynamic interaction is derived.The influence factors,such as frequency(ω),depth of pipeline(d),radius of pipeline(b),P-wave velocity(VP),Possion ratio(μ) are analyzed.The results show that when non-dimensional frequency bω/VP is smaller than 0.1,soil spring constant increases with the ratio γ of the depth of pipeline over the radius of pipeline,but is limited in 2.0G~4.0G(G= soil shear modulus),meanwhile,the influence of Possion ratio is negligible.For engineering application,the soil spring constant between 2.0G~4.0G is recommended.
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