At present, the
existing theoretical research on the seepage field around the subsea shield
tunnel under the action of waves generally considered the lining as impermeable
medium, and rarely studied the permeability of the tunnel lining, especially
the influence of wave nonlinearity under the seabed slope terrain. Firstly,
based on the dynamic boundary conditions of sloping seabed surface, the Biot’s
consolidated pore water pressure response of free seabed under Stokes nonlinear
wave is obtained. Secondly, the mirror image method
is introduced to establish a governing equation of excess pore water pressure
caused by the existence of tunnel, and the analytical solution of the equation
is obtained by Fourier series expansion under the condition of continuous
seepage between sand and lining. After that, the seepage response solution of
the sand around the tunnel in the sloping seabed under the action of Stokes
wave is obtained based on the superposition principle. Finally, the theoretical
analytical solution is compared with the numerical results and the existing
experimental results, and a good agreement is obtained. In addition, the
influencing factors of wave sensitive parameters (wavelength, period and
shape), seabed sensitive parameters (seabed permeability, shear modulus,
saturation and slope) and tunnel sensitive parameters (lining thickness,
permeability and buried depth) are analyzed. The results show that the excess
pore water pressure outside the lining increases obviously with the increase of
wave period and wavelength. As the water depth decreases along the seabed
slope, the difference of wave pressure obtained by Airy wave and Stokes wave
theory increases significantly within the applicable range (d/L>0.125, where d is
the water depth, and L is the wavelength), and the former will underestimate the excess
pore water pressure around the tunnel. When the seabed permeability coefficient
is large (ks>1×10−2 m/s), the increase of wavelength
and seabed saturation will increase the excess pore pressure outside the
lining, while the increase of seabed shear modulus, seabed slope and tunnel
buried depth will reduce the excess pore pressure outside the lining. Under the
condition of inclined seabed with large slope angle, the excess pore pressure
outside the tunnel lining shows an obvious asymmetric distribution. When the
seabed permeability coefficient is small (ks<1×10−4 m/s),
the excess pore water pressure around the tunnel is at a low level, and the
influence of other sensitive parameters is not significant. When the
permeability coefficient of tunnel lining is small (kt<1×10−6 m/s),
the "blocking" effect of tunnel on the propagation of excess pore
water pressure in sand is obvious, but when the permeability coefficient of
lining is large (kt>1×10−4 m/s), and the excess pore water
pressure in the sandy seabed around the tunnel is low. The influence of lining
thickness on the distribution of excess pore water pressure outside the lining
is not significant.