50 PIPELINE TECHNOLOGY JOURNAL RESEARCH / DEVELOPMENT / TECHNOLOGY 5. CONCLUSIONS This paper proposes a new dynamic calculation for buried pipeline considering the soil interaction able to compute very fast solutions regarding different material parame- ters. This method can be used to identify suitable material combinations based on their potential stress reduction and displacements. The numerical algorithm capabilities for computing a fine enough 3D solution is based on the use of in-plane-out-of-plane separated representations within the Proper Generalized Decomposition (PGD) framework that permitted capturing details of the mechanical fields along the thickness. Model parameters have been consid- ered as extra-coordinates for constructing parametric solu- tions that can be seen as computational vademecums from which we can perform in real time, optimization, inverse analysis and simulation based control. As a future work is on development a nonlinear soil behaviour and consider pipeline diameter as extra coordinates. ACKNOWLEDGMENTS The Institute Technology of Santo Domingo (INTEC) has fund- ed this research. This support is gratefully acknowledged. References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Applied Technology Council. (1991). Seismic Vulnerability and Impact of Disruption of Lifelines in the Conterminous United States, ATC-25. ASCE, 1984: E: Guidelines for the Seismic Design of Oil and Gas Pipeline Systems. Bognet, B., Bordeu, F., Chinesta, F., Leygue, A., & Poitou, A. (2012). Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity. Compu- ter Methods in Applied Mechanics and Engineering, 201, 1-12. Chen WW, Shih B, Chen YC etal. “Seismic response of natural gas and water pipelines in the Ji-Ji earthquake.” Soil Dynamics and Earthquake Engineering2002; 22: 1209-1214. Chinesta, F., Keunings, R., & Leygue, A. (2013). The proper generalized decomposition for advan- ced numerical simulations: a primer. Springer Science & Business Media. Chinesta, F., Ammar, A., & Cueto, E. (2010). Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models. Archives of Computational methods in Engineering, 17(4), 327-350. Chinesta, F., Leygue, A., Bordeu, F., Aguado, J. V., Cueto, E., González, D., & Huerta, A. (2013). PGD-based computational vademecum for efficient design, optimization and control. Archives of Computational Methods in Engineering, 20(1), 31-59. Germoso, C., Aguado, J. V., Fraile, A., Alarcon, E., & Chinesta, F. (2016). Efficient PGD-based dyna- mic calculation of non-linear soil behavior. Comptes Rendus Mecanique, 344(1), 24-41. Lysmer, J., Kuhlemeyer, A.M. Finite dynamics model for infinite media, J. Eng. Mech. 95 (1969) 859–877. Nyman, Douglas J., 1984, “Guidelines for the Seismic Design of Oil and Gas Pipeline Systms”, pp. 150-228, ASCE, New York. Pruliere, E., Chinesta, F., & Ammar, A. (2010). On the deterministic solution of multidimensional parametric models using the proper generalized decomposition. Mathematics and Computers in Simulation, 81(4), 791-810. Reese, L. C., and A. O. P. Casbarian, 1968, “Pipe Soil Interaction for a Buried Offshore Pipeline”, Paper SPE 2343, presented at the 43rd Annual Fall Meeting of Society of Petroleum Engineers of AIME, Texas. Shih, J. Y., Thompson, D. J., & Zervos, A. (2016). The effect of boundary conditions, model size and damping models in the finite element modelling of a moving load on a track/ground system. Soil Dynamics and Earthquake Engineering, 89, 12-27. Trifunac MD, Todorovska MI. “Northrige, California, earthquake of 1994: density of Pipe breakes and surface strains.” Soil Dynamics and Earthquake Engineering 1997; 16: 193-207. Watkins, R. K., & Anderson, L. R. (1999). Structural mechanics of buried pipes. CRC press. Authors Claudia Germoso Omar Gonzalez Instituto Tecnológico de Santo Instituto Nacional de Ciencias Domingo - INTEC Research Professor claudia.germoso@intec.edu.do Exactas – INCE Research Professor mgonzalez1@ince.edu.do Pipeline Technology Journal Register for free & stay up-to-date with the ptj - newsletter