Rayleigh波在飽和半空間中圓形洞室周圍的散射
本文選題:飽和半空間 切入點(diǎn):圓形洞室 出處:《巖土力學(xué)》2017年08期
【摘要】:基于Biot的兩相介質(zhì)理論,采用間接邊界積分方程法,求解了Rayleigh波在飽和半空間中圓形洞室周圍的二維散射問題,分析了入射波頻率、孔隙率、邊界滲透條件和洞室埋深等參數(shù)對地表位移幅值、洞室表面和地表孔隙水壓力的影響。研究結(jié)果表明,由于圓形洞室的存在,飽和半空間地表位移幅值和地表孔隙水壓被明顯放大:在透水條件下,水平和豎向位移最大值分別比自由場放大了10.1倍和11.2倍;在不透水條件下,水平和豎向位移最大值分別比自由場放大了12.0倍和9.6倍,地表孔隙水壓力放大了2.1~3.0倍。地表位移和孔隙水壓力最大值均出現(xiàn)在入射波近端洞室邊界附近。隨著Rayleigh波入射頻率的增大和洞室埋深的增加,地表位移幅值的放大作用有所減小。在相同孔隙率條件下,當(dāng)入射頻率為1.0時,洞室表面孔隙水壓力最大;當(dāng)入射頻率為2.0時,洞室表面孔隙水壓力最小,洞室表面最大孔隙水壓力出現(xiàn)在洞室頂部。
[Abstract]:Based on Biot's two-phase medium theory and indirect boundary integral equation method, the two-dimensional scattering problem of Rayleigh wave around a circular cavity in saturated half-space is solved. The incident wave frequency and porosity are analyzed. The effects of boundary permeation conditions and cave depth on the surface displacement amplitude, pore water pressure on the surface of the cavern and the surface pore water pressure are studied. The amplitude of surface displacement and surface pore water pressure in saturated half-space are obviously enlarged: the maximum horizontal and vertical displacement are 10.1 and 11.2 times larger than those of free field under permeable condition, respectively, and in impermeable condition, the maximum value of horizontal displacement and vertical displacement is 11.2 times larger than that of free field, respectively. The maximum horizontal and vertical displacement are 12.0 and 9.6 times larger than the free field, respectively. The surface pore water pressure increases by 2.1 ~ 3.0 times. The maximum surface displacement and pore water pressure appear near the boundary of the cavern near the incident wave. With the increase of the incidence frequency of the Rayleigh wave and the increase of the buried depth of the cavity, the surface displacement and pore water pressure are increased. Under the same porosity, when the incident frequency is 1.0, the pore water pressure of the cavity surface is the largest, and when the incident frequency is 2.0, the pore water pressure of the cavity surface is the smallest. The maximum pore water pressure on the surface of the cavern appears at the top of the cave.
【作者單位】: 天津大學(xué)建筑工程學(xué)院;天津大學(xué)天津市土木工程結(jié)構(gòu)及新材料重點(diǎn)實(shí)驗(yàn)室;天津城建大學(xué)天津市軟土特性與工程環(huán)境重點(diǎn)實(shí)驗(yàn)室;
【基金】:國家自然科學(xué)基金項(xiàng)目(No.51378348)~~
【分類號】:P315.9
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