二维梯形沉积盆地放大效应的数值模拟研究
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国家自然科学基金项目(51878625);北京工业大学筑基工程资助


Numerical simulation of the amplification effect of two-dimensional trapezoidal sedimentary basins
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    摘要:

    盆地效应作为场地效应的一种特殊类型,其对地震动的影响仍在持续研究当中。建立二维梯形沉积盆地模型,模型边界采用透射人工边界,利用显式有限元法作为求解方法。根据Buckingham提出的π定理定义了多个影响盆地效应的无量纲参数,包括盆地深宽比、介质波速比、盆地深度与入射波长之比、盆地开口宽度与入射波长之比。以Ricker子波作为输入波,研究SH波垂直入射盆地模型时,以上无量纲参数对盆地放大效应的影响。研究发现盆地深宽比越大盆地诱发的聚焦效应越明显,盆地深宽比越小盆地边缘效应越明显。在盆地的深宽比和入射波确定时,随着盆地开口宽度与入射波长之比不断增大盆地的最值放大系数逐渐从盆地中心移向盆地边缘,表现出越来越明显的边缘放大效应。其中波速比差异对放大系数的影响最大,波速比差异越大介质的波阻抗比越大,放大效应越显著。通过将影响盆地放大效应的参数无量纲化,使梯形盆地对地震动放大效应的研究的结论更具有普遍意义。

    Abstract:

    As a special type of site effect, the influence of basin effect on ground motion is still being studied. In this paper, a two-dimensional trapezoidal sedimentary basin model was established with the explicit finite element method. According to Buckingham's π theorem, a number of dimensionless parameters affecting the basin effect were defined, i.e., basin depth-width ratio, wave velocity ratio of medium, ratio of basin depth to incident wavelength, and ratio of basin width to incident wavelength. Using Ricker wavelet as the input wave, the influence of above-mentioned dimensionless parameters on the amplification effect of the basin model was studied under vertical incidence of plane SH. It was found that the basin-induced focusing effect becomes obvious with increasing depth-width ratio of basin, and the basin edge effect becomes obvious with decreasing depth-width ratio of basin. With a certain depth-width ratio of basin and incident wave ratio, the maximum amplification coefficient of the basin gradually moves from the center to the edge with increasing ratio of basin width to incident wavelength, indicating more and more obvious edge amplification effect. The wave velocity ratio difference has the greatest effect on the amplification coefficient. With the increase of wave velocity ratio difference, the wave impedance ratio increases and the amplification effect becomes obvious. This study makes the research conclusion on the amplification effect of ground motion in trapezoidal basins have more general significance.

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包得志,荣棉水,喻烟.二维梯形沉积盆地放大效应的数值模拟研究[J].地震工程学报,2021,43(6):1472-1479,1500. BAO Dezhi, RONG Mianshui, YU Yan. Numerical simulation of the amplification effect of two-dimensional trapezoidal sedimentary basins[J]. China Earthquake Engineering Journal,2021,43(6):1472-1479,1500.

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  • 收稿日期:2021-01-29
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  • 在线发布日期: 2021-12-07