Vibrations of systems consisting of underground pipelines and wells under the impact of seismic waves
Keywords:
pipe, soil, interaction, vibration, elasticity, strain, wellAbstract
The problem of the impact of a longitudinal wave on a system consisting of successively located wells and pipelines of finite length, interacting with soil by elastic-viscous law is considered in the article. The ends of the pipeline are fixed to massive wells that have volume and mass. The size of the largest well is significantly less than the length of the pipeline, so the deformation of the well can be ignored, i.e. the well can be considered an absolutely solid body. We believe that for each section of the pipeline bounded by wells, the characteristics of the soil and pipeline differ. The problem is solved numerically using an explicit finite difference method. A longitudinal wave in soil acts as a traveling sine wave. The study provides a comparative analysis of the results for certain values of the elastic and viscous interaction coefficients and wave propagation velocity. The results of the study showed that the well has a significant impact on the stress state of the pipeline.
References
O’Rourke T.D. Geohazards and large geographically distributed systems // Geotechnique. – 2010. – Vol. 60. – P. 503-543.
Рашидов Т. Динамическая теория сейсмостойкости сложных систем подземных сооружений. – Ташкент: Фан, 1973. – 180 с.
O’Rourke M.J., Liu X. Response of buried pipelines subject to earthquake effects / Multidisciplinary Center for Earthquake Engineering Research; University at Buffalo. –Buffalo, 1999. – 252 p.
Iwamoto T., Wakai N., Yamaji T. Observation of dynamic behavior of ductile iron pipelines during earthquakes // Proc. of the 8th World Conf. on Earthquake Engineering. Vol. VII. – San Francisco, 1984. – P. 231-238.
O’Rourke T.D., Wang Y., Shi P. Advances in lifeline earthquake engineering // Proc. of the 13th World Conf. on Earthquake Engineering. – Vancouver, 2004.
Wang LRL. Some aspects of seismic resistant design of buried pipelines // Lifeline earthquake engineering: buried pipelines, seismic risk and instrumentation / American Society of Mechanical Engineers. – 1979. – P. 117-131.
Рашидов Т. Дифференциальное уравнение колебания подземного трубопровода при землетрясении // Доклады АН УзР. – 1962. – №9. – С. 10-12.
Newmark N.M. Problems in wave propagation in soil and rocks // Proc. of the Int. Symposium on Wave Propagation and Dynamic Properties of Earth Materials / University of New Mexico Press. – 1967. – P. 7-26.
Мукурдумов Р.М. Вопросы сейсмостойкости подземных трубопроводов. – Ташкент, 1953.
Напетваридзе Ш.Г. Сейсмостойкость гидротехнических сооружений. – М.: Госстройиздат, 1959. – 216 с.
Рашидов Т. Расчёт подземных трубопроводов конечной длины на действие кратковременной сейсмической нагрузки // Доклады АН УзР. – 1963. – №4. – С. 13-16.
De Martino G. et al. Dynamic response of continuous buried pipes in seismic areas // ASCE Pipelines Conference. – 2006.
Corrado V. et al. Inertial Effects on Finite Length Pipe Seismic Response // MPE. – 2012. – Vol. 2012, Issue 1. – doi: http://dx.doi.org/10.1155/2012/824578.
Mirsaidov M.M., Abdikarimov R.A., Khodzhaev D.A. Dynamics of a viscoelastic plate carrying concentrated mass with account of physical nonlinearity of material // PNRPU Mech Bull. – 2019. – No. 2. – P. 143-155.
Abirov R.A., Khusanov B.E., Sagdullaeva D.A. Numerical modeling of the problem of indentation of elastic and elastic-plastic massive bodies // IOP Conf. Ser.: Mater. Sci. Eng. – 2020. – Vol. 971. – doi: http://dx.doi.org/10.1088/1757-899X/971/3/032017.
Mirsaidov M.M., Usarov M.K. Bimoment theory construction to assess the stress state of thick orthotropic plates // IOP Conf. Ser.: Earth Environ. Sci. – 2020. – Vol. 614. –doi: http://dx.doi.org/10.1088/1755-1315/614/1/012090.
Бородавкин П.П. Подземные магистральные трубопроводы : проектирование и строительство. – М.: Недра, 1982. – 384 с.
Khusainov R., Yarashov J., Khusainov S. Application of finite difference method for solving problem of seismic resistance of underground pipelines // E3S Web of Conferences. – 2023.
– Vol. 401. – doi: http://dx.doi.org/10.1051/e3sconf/202340105046.
Khusainov R.B., Yuldoshev B.Sh., Abdullaev D., Khusainov S.B. Longitudinal vibrations of
underground pipelines of finite length in medium surrounded by soil with different properties along pipeline length // E3S Web of Conferences. – 2023. – Vol. 401. – doi: http://dx.
doi.org/10.1051/e3sconf/202340104060.
Rakhmankulova B., Mirzaev S., Khusainov R., Khusainov S. Underground main pipeline
behavior under a travelling impulse in the form of a triangle // E3S Web Conf. – 2021. –
Vol. 264. – doi: http://dx.doi.org/10.1051/e3sconf/202126401006.
Rakhmankulova B. et al. Inertia force effect on longitudinal vibrations of underground
pipelines // E3S Web Conf. – 2021. – Vol. 264. – doi: http://dx.doi.org/10.1051/
e3sconf/202126401007.
Султанов К.С. Волновая теория сейсмостойкости подземных сооружений. – Ташкент:
Фан, 2016. – 392 с.
Sultanov K.S., Khusanov B.E., Rikhsieva B.B. Mathematical model of underground
structure-soil interaction // IOP Conf. Ser.: Mater. Sci. Eng. – 2020. – Vol. 962. –
doi: http://dx.doi.org/10.1088/1757-899X/962/3/032021.
Khusainov, R.B., Khusainov, S.Bu. Khusainova, B.B. Seismodynamics of Underground
Pipelines Under Viscous-Elastic-Plastic Interaction with Soil // Soil. Mech. Found. Eng.
– 2023. – Vol. 59. – P. 544–552.
Sultanov K.S., Khusanov B.E., Rikhsieva B.B. Longitudinal waves in a cylinder with active
external friction in a limited area // Journal of Physics: Conf. Series. – 2020. – Vol. 1546.
– doi: http://dx.doi.org/10.1088/1742-6596/1546/1/012140.
Sultanov K.S. Khusanov B.E. Rikhsieva B.B. Elastic wave propagation in a cylinder with
external active friction // Journal of Physics: Conf. Ser. – 2021. – Vol. 1901. – doi: http:
//dx.doi.org/10.1088/1742-6596/1901/1/012125.
Sultanov K.S., Khusanov B.E., Rikhsieva B.B. Stress waves in a cylindrical body interacting
with external medium // IOP Conf. Ser. Mater. Sci. and Eng. – 2020. – Vol. 971.
Калиткин Н.Н. Численные методы. – М.: Наука, 1978. – 512 с.
