Dynamic responses of two-phase porous medium under a moving tunnel axial excitation

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (17) : 276-283.

BAO Hanying, CHEN Wenhua

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Abstract

In order to study dynamic responses of saturated porous soil under a moving tunnel axial excitation, a dynamic analysis model for a tunnel-saturated soil system was established.The analytical solutions to the system’s dynamic responses in frequency domain were derived with the wave function expansion method, the mirror principle, and Graf addition formula.The empirical formula for the critical velocity of saturated soil was also deduced.The time-space domain solutions to saturated soil’s dynamic responses were obtained with the fast Fourier inverse transform.The results showed that the critical velocity of saturated soil under axial excitation is only related to soil’s shear modulus and density, and its value is close to 1.1 times of soil’s shear wave velocity;when velocity is less than the critical velocity, response values decrease with increase in soil’s shear modulus and porosity, and axial displacement slightly decreases with increase in tunnel buried depth, but when tunnel buried depth is more than 10 times of tunnel radius, axial displacement tends to be stable;when velocity is larger than the critical velocity, response values increase with increase in soil’s shear modulus and porosity; angle affects soil’s radial displacement and axial one slightly, while it affects soil’s circumferential displacement greatly.

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axial excitation / saturated soil / critical velocity / wave function expansion method

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BAO Hanying, CHEN Wenhua. Dynamic responses of two-phase porous medium under a moving tunnel axial excitation[J]. Journal of Vibration and Shock, 2019, 38(17): 276-283

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