2-D Green's functions for a saturated porous medium and its numericalimplementation for seismic response in BEM

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (16) : 62-69.

WEI Gang1，2, SONG Youzheng1, DING Boyang2

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Abstract

In accordance with De Hoop's suggestion, 2-D Green's function in U-P formation for a saturated porous medium subjected to a concentrated force has been derived via its 3-D form's integration, Using the decoupling of coupled longitudinal wave and singular point processing of wavelet type, BEM calculation of porous media dynamic response in half space subjected to a concentrated force was derived.After EI Centro and Wenchuan 2008 earthquake acceleration records were input into the Duhamel formula integral, respectively, the seismic response of the saturated soil tunnel was proposed.The results show that, the seismic magnification response of the tunnel is obvious.Under the action of EI Centro or Wenchuan 2008 earthquake record, the response at the bottom of the tunnel is greater than the middle and the top.

Key words

Saturated porous medium / U-P formulation / 2-D Green’s function / BEM numerical method / Seismic response of a tunnel

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WEI Gang1，2, SONG Youzheng1, DING Boyang2 . 2-D Green's functions for a saturated porous medium and its numericalimplementation for seismic response in BEM[J]. Journal of Vibration and Shock, 2018, 37(16): 62-69

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